how do i find the altitude of a right triangle when given two sides but not the hypotenuse?

Answer:

B: x + 12 = 35 and subtract 12 from both sides. The answer is 23.

Step-by-step explanation

Equation of 'The sum of a number and twelve is thirty-five' is x + 12 = 35 and the solution is 23

Let the number be x

the sum of the numbers x and 12 means  x + 12

The sum of a number x and 12 is 35 means x + 12 = 35

x + 12 = 35

subtract 12 from both sides

x + 12 - 12 = 35 - 12

x = 23

Therefore, the correct option is 'Write the equation as x + 12 = 35 and subtract 12 from both sides. The answer is 23.'

To learn more about solving equations, refer:

https://brainly.com/question/8806877

#SPJ2

Answer:

[tex]\large\boxed{36\pi}[/tex]

Step-by-step explanation:

The formula of a volume of a sphere:

[tex]V=\dfrac{4}{3}\pi R^3[/tex]

R - radius

We have R = 3 ?. Substitute

[tex]V=\dfrac{4}{3}\pi(3^3)=\dfrac{4}{3}\pi(27)=(4)\pi(9)=36\pi[/tex]

If the radius is 30, then the volume is:

[tex]V=\dfrac{4}{3}\pi(30^3)=\dfrac{4}{3}\pi(27,000)=(4)\pi(9,000)=36,000\pi[/tex]

If 30 is the length of diameter, then the radius R = 30 : 2 = 15.

Therefore the volume:

[tex]V=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3,375)=(4)\pi(1,125)=4,500\pi[/tex]

ANSWER

y=-1

EXPLANATION

The given line in the graph has equation

[tex]y = 2.5[/tex]

This line is a horizontal line.

All horizontal line has a slope of 0.

Let the equation of the line that is parallel to this line be

[tex]y = mx + b[/tex]

The slope of this line must also be zero.

We substitute the slope, m=0 and the point (3,-1) into this equation to get:

[tex] - 1 = 0(3) + b[/tex]

[tex] \therefore \: b = 0[/tex]

Hence the required equation is

[tex]y = - 1[/tex]

ANSWER

y= -1

Step-by-step explanation:

The given line in the graph has equation

This line is a horizontal line.

All horizontal line has a slope of 0.

Let the equation of the line that is parallel to this line be

The slope of this line must also be zero.

We substitute the slope, m=0 and the point (3,-1) into this equation to get:

Hence the required equation is

Answer:

C. b = 34

Step-by-step explanation:

Given

-b+21= -13

To solve this type of equations that only involve one variable, we have to isolate the variable at on side of the equation. So, for the given equation

We will subtract 21 from both sides

-b+21-21=-13-21

-b= -34

As the minus sign is on both sides of the equation, it will be cancelled and

b=34

So, option C is the correct answer ..

Answer:

yes ik

Step-by-step explanation:

Answer:it should be C

Step-by-step explanation:

Answer:

x < 21.01 or x > 21.49 because |x - 21.25| > 0.24

Step-by-step explanation:

We know that each pack of almonds is targeted to weigh 21.25 oz.and a pack must weigh within 0.24 oz of the target weight to be accepted.

Assuming x to be the weight of a given pack of almonds, we can write it as:

[tex]|x-21.25| > 0.24[/tex]

Now finding the range of rejected masses (x) of the almonds.

[tex]|x-a| >b[/tex]

[tex]-b<(x-a)< b[/tex]

[tex]|x-21.25| >0.24[/tex]

[tex]-0.24>(x-21.25)>0.24[/tex]

[tex]-0.24>x-21.25[/tex] or [tex]x-21.25>0.24[/tex]

[tex]x<21.01[/tex] or [tex]x>21.49[/tex]

Therefore, the correct answer option is x < 21.01 or x > 21.49 because |x - 21.25| > 0.24.

for a rational expression the vertical asymptotes occur when the denominator equals 0, in this case that will be when x + a = 0.

now, if there were to be a vertical asymptote of x = 1, that simply means that

x = 1 ==> x - 1 = 0.

meaning that a = -1.

horizontal asymptotes occur when the denominator has a higher degree than the numerator OR when both have the same degree.

when the degree of the denominator is higher, then the only horizontal asymptote occurring is y = 0.

when the degrees are the same, then the horizontal asymptote occurs at the leading terms' coefficient fraction.

now, if this expression were to have a horizontal asymptote of y = 2, that simply means

[tex]\bf \cfrac{2x^m}{x+a}\implies \cfrac{2x^1}{1x^1+a}\implies \stackrel{\textit{horizontal asymptote}}{\cfrac{2}{1}\implies y=2}\qquad \textit{meaning m = 1}[/tex]

ANSWER

a=-1,m=1

EXPLANATION

The given function is

[tex]f(x) = \frac{2 {x}^{m} }{x + a} [/tex]

For this rational function to have a horizontal asymptote at y=2, the degree of the numerator must equal the degree of the denominator.

This implies that, we must have m=1.

For the function to have a vertical asymptote at x=1, then,

[tex]1 + a = 0[/tex]

This implies that,

[tex]a = 0 - 1[/tex]

[tex]a = - 1[/tex]

The correct choice is the third option.

It is in the hundredths place

Hundredths

Two places after the decimal is always the hundredths place.

Answer:

w =  120 + 5*(h-30)

Step-by-step explanation:

Part A;

We are informed that Andrew is paid $4 per hour for the first 30 hours he works each week and makes $5 per hour for each hour he works over 30 hours per week. This implies that the  $4 per hour for the first 30 hours is fixed while the $5 per hour overtime depends on the number of extra hours worked.

If we let w denote the wage and h denote the hours worked per week, then;

$4 per hour for the first 30 hours; 4*30 = 120

The number of extra hours worked would be; h-30

w =  120 + 5*(h-30)

This is the function that gives Andrew’s total wages when he works more than 30 hours each week.

Answer:

The median. Since there are some values in the data set that are arger than most, if you used the mean, the mean would not be a very accurate representation of the data set. When using median, the large numbers do not greatly effect the data set.

Step-by-step explanation:

Answer:

Total number of eggs in basket = 56

Step-by-step explanation:

Let z be the total number of eggs

Green eggs = [tex]\frac{2}{7}[/tex] × z   ........1

Blue eggs =  [tex]\frac{1}{4}[/tex] × z    .......2

Rest of eggs = 26  ........3

The addition of 1, 2 and 3 is equal to z  

[tex]\frac{2}{7}[/tex] × z + [tex]\frac{1}{4}[/tex] + 26 = z

[tex]\frac{8z + 7 z}{28}[/tex] + 26 = z                        ∵GCF for 4 and 7 is 28  

[tex]\frac{15z}{28}[/tex]  + 26 = z

15z + (26 × 28) = 28z                ∵ multiply both sides by 28

15z + 728 = 28z

28z - 15z = 728     .......... rearranging above equation

13z = 728  ⇒   z = [tex]\frac{728}{13}[/tex]   ⇒  z = 56

Total number of eggs = z = 56

Answer:  There are total 56 eggs in the basket.

Step-by-step explanation:  Given that an Easter basket contains eggs of three different colors, out of which [tex]\dfrac{2}{7}[/tex] are green, [tex]\dfrac{1}{4}[/tex] are blue and rest 26 eggs are red.

We are to find the total number of eggs in the basket.

Let x be the total number of eggs in the Easter basket.

Then, according to the given information, we have

[tex]\dfrac{2}{7}\times x+\dfrac{1}{4}\times x+26=x\\\\\\\Rightarrow \dfrac{8x+7x}{28}+26=x\\\\\\\Rightarrow \dfrac{15x}{28}+26=x\\\\\\\Rightarrow x-\dfrac{15x}{28}=26\\\\\\\Rightarrow \dfrac{28x-15x}{28}=26\\\\\\\Rightarrow \dfrac{13x}{28}=26\\\\\Rightarrow x=\dfrac{26\times 28}{13}\\\\\Rightarrow x=56.[/tex]

Thus, there are total 56 eggs in the basket.

Answer:

15x + 10

Step-by-step explanation:

distribute the 3x to the 2/x and 5 inside the parentheses:

3x(2/x) + 3x(5) + 4

multiply:

6x/x + 15x +4

There is x in the numerator and the denominator of 6x/x, so the xs cancel:

6 + 15x + 4

15x + 10

Answer:

15x+10

Step-by-step explanation:

3x (2/x + 5) +4

Distribute the 3x

3x*2/x + 3x*5 +4

6x/x + 15x +4

6+15x+4

Combine like terms

15x+10

Answer:

B. 68%

Step-by-step explanation:

Any number within 1 positive or negative deviation of the mean represents 68% of normally distributed data.

Math explanation:

52.4+11.8=64.2

52.4-11.8=40.6

Your answer is b, 68%

Answer:

The product costs $0.37 per ounce.

Step-by-step explanation:

$29.75 for 5 pounds = x for 1 pound (Cross-Multiply)

5x/5 = $29.75/5

x = $5.95 per pound

$5.95 per pound/16 ounces = $0.37

$0.37 per ounce!

Answer:

$0.371875 does it cost per ounce.

Step-by-step explanation:

Use conversion:

1 pound = 16 ounces.

As per the statement:

A product costs $29.75 for 5 pounds.

In 5 pounds = product cost $ 29.75

then;

In 1 pound = [tex]\$\frac{29.75}{5}[/tex]

Using conversion we have;

In 16 ounces = [tex]\$\frac{29.75}{5}[/tex]

then;

in 1 ounces =  [tex]\$\frac{29.75}{80} = \$0.371875[/tex]

Therefore, $0.371875 does it cost per ounce.

I don't have popsicle but I'm sure you will melt by this answer.

[tex]

-x^1-10x-24=0 \\

x+10x+24=0 \\

11x=-24 \\

\boxed{x=\frac{-24}{11}}

[/tex]

Hope this helps. (please don't melt)

r3t40

Answer:

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

[tex]A.\ \dfrac{7}{x^2}=7x^{-2}\qquad\bold{NOT}\\\\B.\ x-\sqrt7\qquad\bold{YES}\\\\C.\ \dfrac{7}{\sqrt{x}}=7x^{-\frac{1}{2}}\qquad\bold{NOT}\\\\D.\ \sqrt{7x}=\sqrt7\cdot\sqrt{x}=\sqrt7 x^\frac{1}{2}\qquad\bold{NOT}[/tex]

Answer:

X=30

Step-by-step explanation:

The whole polygon is 360 degrees so:

360-28-40-120-142=X, which is 30

The value of x = 30°.

As in the case with a regular polygon, an irregular polygon even contains exterior angles that count up to 360°. Each exterior angle in an irregular polygon even exists (180° - its linear pair). Therefore the exterior angles add up to 360°.

The entire external angle is equal to 360.

28° + 40° + 120° + 142° + x = 360°

Simplifying the above equation, we get

330° + x = 360°

x = 360°- 330°

x = 30°

Therefore, the value of x = 30°.

To learn more about Irregular Polygon

https://brainly.com/question/8991467

#SPJ2

$28.85 (just add it if u dont get it)

On Wednesday and Friday she spent, $9.75+$5.95=$15.70

On Monday and Tuesday she spent, $5.65+$7.50= $13.15

Its a subtraction problem so $15.70-$13.15=$2.55

The answer is $2.55

I apologize if this is not what you meant.

I hope this helps witb you.

Final answer:

To find the nth term of the arithmetic sequence, we calculated the common difference to be 37, and deduced the first term as -301. The equation for the nth term is an = -301 + 37(n - 1). Therefore, option a is correct answer.

Explanation:

To find an equation for the nth term of the arithmetic sequence given two terms, a10 = 32 and a12 = 106, we first need to determine the common difference. The common difference d in an arithmetic sequence is the consistent interval between consecutive terms, calculated by subtracting one term from the next. In this case:

d = a12 - a10

d = 106 - 32

d = 74

Since the terms are two positions apart, this common difference corresponds to two steps, meaning the common difference per step is 74 / 2 = 37.

Now, we know that the general formula for the nth term of an arithmetic sequence is:

an = a1 + (n - 1)d

Where a1 is the first term. To find a1, we can plug in the values for a10:

32 = a1 + (10 - 1)×37

32 = a1 + 9×37

32 = a1 + 333

a1 = 32 - 333

a1 = -301

Now, the equation for the nth term of the sequence is:

an = -301 + 37(n - 1)

Therefore, option a is correct answer.

The answer is:

The piece of paper measures 30.48cm (centimeters)

We need to convert from inches to centimeters, we can do it using the following convertion factor:

[tex]1in=2.54cm[/tex]

Now, calculating we have:

[tex]12in*\frac{2.54}{1in}=30.48cm[/tex]

Hence, we have that the piece of papers measures 30.48cm (centimeters)

Have a nice day!

Answer:

Option A, π(4.5)²

Step-by-step explanation:

Volume of a cylinder is-

V = πr²h

Substitute the value of the radius. (9 is the diameter of the base, so it needs to be half of it)

V = π(4.5)²h

Bring the "h" inside with 4.5

V = π(4.5h)²

Hope this helps

The volume of the cylinder is [tex]\pi (4.5)^{2} h[/tex] and thus option c) [tex]\pi (4.5)^{2} h[/tex] is the correct option

Given: a cylinder of diameter 9 cm and height h cm

To find: equation to find the volume of the cylinder

We know that the volume of a cylinder can be calculate by using the formula:

[tex]\text{volume} = \pi r^{2} h[/tex]

where r is the radius of the cylinder and h is the height

It is given that the diameter of cylinder is 9 cm so radius of the cylinder will be half of the diameter:

[tex]\text{radius} = \frac{9}{2} = 4.5[/tex] cm

Now putting the values in the formula of volume:

[tex]\text{volume} = \pi (4.5)^{2} h[/tex]

Therefore, the volume of the cylinder is [tex]\pi (4.5)^{2} h[/tex] and the option that is same as our answer is option C. So, option C) [tex]\pi (4.5)^{2} h[/tex] is the correct answer

Answer:

7.

rolling two number cubes

8.

2/25

Step-by-step explanation:

7.

Events A and B are said to be statistically independent if the probability of A happening, P(A), in no way affects the probability of event B occurring, P(B);

P(A∩B) = P(A) P(B)

If A and B are independent the above equation is always true.

From the list given, rolling two number cubes is an example of independent events since the outcome from the first cube does not affect the outcome of the second cube.

8.

We are informed the bag contains 4 apples, 1 plum, 2 apricots, and 3 oranges. We are required to determine the following probability;

P(Apple then Apricot) given that the fruits are drawn with replacement.

The probability of drawing an apple from the bag is;

(number of apples)/(total number of fruits)

= 4/10 = 2/5

The probability of drawing an apricot from the bag given that the apple drawn is replaced is;

(number of apricots)/(total number of fruits)

= 2/10 = 1/5

Now,  P(Apple then Apricot) = 2/5 * 1/5 = 2/25

Answer:

The area of the irregular figure is 140 sq. ft.

Step-by-step explanation:

Triangle:

16-12=4

6 x 4 = 24

24 x 0.5 = 12

Triangle = 12

Rectangle:

16 x 8

= 128

Rectangle = 128

Total figure:

128+12

= 140

Plzz give me brainlist!!!

Answer:

25 ounces of water

Step-by-step explanation:

3/5 = 15

Cross multiplying this:

1 = x

3/5 = 15

3/5x=15

x=25

Answer:

The bottle hold 25 ounces of water

Step-by-step explanation:

To find the amount of water the bottle hold, we will follow the steps below;

let x be the number of ounces of water the bottle holds

3/5  of x  = 15 ounces

3/5  ×  x   = 15

[tex]\frac{3X}{5}[/tex]   = 15

Multiply both-side of the equation by 5

[tex]\frac{3X}{5}[/tex]  ×  5   =  15×5

At the left-hand side of the equation 5 will cancel-out 5 leaving us with 3x

3x = 75

Divide both-side of the equation by 3

[tex]\frac{3X}{3}[/tex]  =  [tex]\frac{75}{3}[/tex]

(On the left-hand side of the equation 3 at the numerator will cancel-out 3 at the denominator leaving us with x while on the right-hand side of the equation 75 will be divided by 3)

x = 25 ounce

Answer:

Data Set A has less variability Data Set B because the range of Data Set A has less range of Data Set B

Step-by-step explanation:

Data Set A: 18, 24, 29, 30, 39

Data Set B: 26, 29, 39, 40, 52

Variability means you have more range so....

Answer:

725 grams

Step-by-step explanation:

You divide 5.8 kg by 8 (the star containers)

and the final answer is 0.725 kg or 725 grams

If your talking about just movies then...

Captain America the first avenger

Captain marvel

Black widow

Iron man

Iron man 2

Thor

The Incredible Hulk

Avengers

Iron man 3

Thor the dark world

Captain America the winter soldier

Guardians of the galaxy

Guardians of the galaxy vol 2

Avengers age of ultron

Ant-man

Captain America civil war

Black panther

Spider-man homecoming

Doctor Strange

Thor the dark world

Ant-man and the wasp

Avengers infinity war

Avengers endgame

Spider-man far from home

But if you mean all the movies, tv shows, and one-shots then...

Captain America the first avenger

Agent carter season one

Agent carter season two

Agent carter (one-shot)

Captain marvel

Black widow

Iron man

Iron man 2

A funny thing happened on the way to Thor’s hammer (one-shot)

Thor

The Incredible Hulk

The consultant (one-shot)

Avengers

Item 47 (one-shot)

Iron man 3

All hail the king (one-shot)

Agents of S.H.I.E.L.D. Season one (episodes 1-7)

Thor the dark world

Agents of S.H.I.E.L.D. Season one (episodes 8-16)

Captain America the winter soldier

Agents of S.H.I.E.L.D. Season one (episodes 17-22)

Guardians of the galaxy

Guardians of the galaxy vol 2

Daredevil season one

Agents of S.H.I.E.L.D. Season two (episodes 1-10)

Jessica jones season one

Agents of S.H.I.E.L.D. Season two (episodes 11-19)

Avengers age of ultron

Agents of S.H.I.E.L.D. Season two (episodes 20-22)

Daredevil season two

Luke cage season one

Ant-man

WHIH newsfront season one

Agents of S.H.I.E.L.D. Season three (episodes 1-19)

Iron fist season one

Captain America civil war

WHIH newsfront season two

agents of S.H.I.E.L.D. Season three (episodes 20-22)

The defenders season one

Agents of S.H.I.E.L.D. Season four (episodes 1-6)

Black panther

Spider-man homecoming

Agents of S.H.I.E.L.D. Season four (episodes 7-8)

Agents of S.H.I.E.L.D. Slingshot season one

Agents of S.H.I.E.L.D. Season four (episodes (9-22)

Doctor strange

Thor ragnarok

Inhumans season one

The punisher season one

Runaways season one

Agents of S.H.I.E.L.D. Season five (episodes 1-10)

Jessica jones season two

agents of S.H.I.E.L.D. season five (episodes 11-18)

cloak and dagger season one

Luke cage season two

Iron fist season two

Daredevil season three

Ant-man and the wasp

Avengers infinity war

The punisher season two

Avengers endgame

Spider-man far from home

Jessica jones season three

The order as of now is:

Captain America: The First Avenger (2011)

Iron Man (2008)

The Avengers (2012)

Captain America: The Winter Soldier (2014)

Guardians of the Galaxy (2014)

Avengers: Age of Ultron (2014)

Captain America: Civil War (2016)

Spider-Man: Homecoming (2017)

Thor: Ragnarok (2017)

Ant-Man and The Wasp (2018)

Avengers: Infinity War (2018)

ANSWER

[tex]2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) ) [/tex]

EXPLANATION

The complex number shown has coordinates (2,-2)

or

[tex]z = 2 - 2i[/tex]

The modulus is

[tex] |z| = \sqrt{ {2}^{2} + {( - 2)}^{2} } [/tex]

[tex]|z| = \sqrt{ 8} = 2 \sqrt{2} [/tex]

The argument is

[tex] \theta= \tan^{ - 1} ( \frac{ - 2}{2} )[/tex]

[tex] \theta= \tan^{ - 1} ( -1) = \frac{7\pi}{4} [/tex]

The polar form is

[tex]2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) ) [/tex]

The first option is correct.

Answer:

The first option (the one all the way at the top)

Step-by-step explanation:

a.pex

Answer:

[tex]13[/tex]

Step-by-step explanation:

As the mean is 20.2 and the standard deviation is 2.4

The range within the first standard deviation is

(17.8,22.6)

This means that we can safely use the range of (18,22) as we cannot confirm whether the other values fall within the range.

Within this range there are

[tex]2+3+4+3+1=13[/tex]

The standard deviation of the mean is 13.

As the mean is 20.2 and the standard deviation is 2.4

The range within the first standard deviation is (17.8,22.6)

This means that we can safely use the range of (18,22) as we cannot confirm whether the other values fall within the range.

Within this range there are

2 + 3 + 4 + 3 + 1 = 13

Therefore, the correct answer is option (a) 13.

To learn more about the standard deviation of the mean

https://brainly.com/question/475676

#SPJ2

Adrian will need 4 3/8 cups of raisins to bake 2 1/2 batches.

Convert the mixed fractions into improper fractions:

1 3/4 = 7/4

2 1/2 = 5/2

Multiplying fractions:

1) Multiply numerators

2) Multiply denominators

3) Simplify answer

7/4 * 5/2 = 7*5 / 4*2 = 35/8

35/8 can be simplified into a mixed fraction 4 3/8 

Adrian needs to use 4 3/8 cups of raisins.

Answer:

4 3/8

Step-by-step explanation:

Step 1: Convert the numbers into improper fractions. To do this, multiply the denominator value by the whole number and then add the numerator to that product. 1 3/4 becomes 7/4 and 2 1/2 becomes 5/2.

Step 2: Multiply the fractions straight across. Multiply the numerators together and the denominators together. 7 * 5 is 35. 4 * 2 is 8. The improper fraction is 35/8.

Step 3: Convert the improper fraction to a mixed number. Do this by dividing the numerator by the denominator. 35/8 is 4 with a remainder of 3/8. 4 3/8 is the number of cups he will use to make his batches of muffins.