A right triangle has an area of 33mm squared and a height of 11mm how long is the base of the triangle

Answer:

Equation 3

Step-by-step explanation:

An identity is, simply put, an equation that is always true. 1 = 1, 2 = 2, and x = x are all examples of identities, as there's no case in which 1 ≠ 1, 2 ≠ 2, and x ≠ x. Essentially, if we can manipulate and equation so that we end up with the same value on either side, we've found an identity. Let's run through and try to solve each of these equations to see which one fulfills that condition:

8 - (6v + 7) = -6v - 1

8 - 6v - 7 = -6v - 1

1 - 6v = -6v - 1

1 = -1

This is clearly untrue. Moving on to the next equation:

5y + 5 = 5y - 6

5 = -6

Untrue again. Solving the third:

3w + 8 - w = 4w - 2(w - 4)

2w + 8 = 4w - 2w + 8

2w + 8 = 2w + 8

If we created a new variable z = 2w + 8, we could rewrite this equation as

z = z, which is always true. We can stop here, as we've now found that equation 3 is an identity.

The identity among the given equations is 3w + 8 - w = 4w - 2(w - 4), as it simplifies to a true statement 2w + 8 = 2w + 8 for all values of w.

The student asked which equation is an identity. To find the identity, we simplify and solve each equation:

8 – (6v + 7) = –6v – 1: When we simplify, we get 8 - 6v - 7 = -6v - 1, which further simplifies to 1 - 6v = -6v - 1. Adding 6v to both sides, we have 1 = -1, which is not true, so it's not an identity.

5y + 5 = 5y – 6: Simplifying this we simply subtract 5y from both sides, and we are left with 5 = -6, which is not true, so this is not an identity either.

3w + 8 – w = 4w – 2(w – 4): Simplifying we get 2w + 8 = 4w - 2w + 8, which reduces to 2w + 8 = 2w + 8. This is true for all values of w, therefore, this is an identity.

6m – 6 = 7m + 9 – m: Simplifying gives us 6m - 6 = 6m + 9. Subtracting 6m from both sides, we get -6 = 9, which is not true and thus not an identity.

The identity is the equation 3w + 8 – w = 4w – 2(w – 4) because it simplifies to a true statement regardless of the value of w.

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Answer:

-6,0,2

Step-by-step explanation:

f(x)=x(x−2)(x+6)

To find the zeros of the function, set the function equal to zero

0 =x(x−2)(x+6)

Using the zero product property

x=0  x-2 =0   x+6=0

Solve each equation

x=0  x=2    x=-6

There are three zero's

-6,0,2

I believe y = 41

Hope this helped!

The answer would be -21/4

Here’s how you solve it!

First move the variable to the left side which makes it change the sign to a negative

-4y➕1=22

Then you move the constant to the other side and change the sign

-4y=22-1

Now you subtract

22-1=21

-4y=21

Then divide both sides by -4

Then you are left with your answer

Y=-21/4

Hope this helps! :3

Answer:

Option A. 36

Step-by-step explanation:

Let

x-------> the number of boys

y------> the number of girls

we know that

[tex]x+y=42[/tex] -----> equation A

[tex]y=\sqrt{x}[/tex] -----> equation B

using a graphing tool to solve the system of equations

Remember that the solution is the intersection point both graphs

The solution is the point (36,6)

see the attached figure

therefore

The number of boys is 36

60 minutes = 1 hour

55 + 5 = 60 70 - 5 = 65 10:00

10:00 + 60 min = 11:00 65 - 60 = 5

11:00 + 5 min = 11:05

Bob finished mowing at 11:05

a^2+b^2=c^2 <----- the equation to find out sides for a right triangle

Every right triangle follows the pythagorean theorem: given the legs [tex]a[/tex] and [tex]b[/tex] and the hypothenuse [tex]c[/tex] we have

[tex]a^2+b^2=c^2 \implies c=\sqrt{a^2+b^2}[/tex]

In your case, a=3 and b=5, so we have

[tex]c=\sqrt{3^2+5^2}=\sqrt{9+25}=\sqrt{34}[/tex]

Answer:

11 %

Step-by-step explanation:

Percent = Amount deducted/original amount × 100 %

               = 213.84/1944 × 100 %

               = 11.00 %

Paige has 11.00 % of her paycheck deducted for her 401(k).

Answer:

11%

Step-by-step explanation:

Answer:

The diameter of the circle is [tex]3,600\ units[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

where

D is the diameter

In this problem we have

[tex]C=11,304\ units[/tex]

assume [tex]\pi=3.14[/tex]

substitute the values and solve for D

[tex]11,304=(3.14)D[/tex]

[tex]D=11,304/(3.14)=3,600\ units[/tex]

Answer: 3,600 units

Step-by-step explanation:

Answer:

The length is [tex]8\frac{1}{4}\ ft[/tex]

Step-by-step explanation:

we know that

The area of a rectangle is equal to

[tex]A=LW[/tex]

In this problem we have

[tex]A=53\frac{5}{8}\ ft^{2}[/tex]

[tex]W=6\frac{1}{2}\ ft[/tex]

convert to an improper fraction

[tex]A=53\frac{5}{8}=\frac{53*8+5}{8}=\frac{429}{8}\ ft^{2}[/tex]

[tex]W=6\frac{1}{2}=\frac{6*2+1}{2}=\frac{13}{2}\ ft[/tex]

substitute in the formula and solve for L

[tex]\frac{429}{8}=L\frac{13}{2}[/tex]

[tex]L=\frac{429*2}{8*13}=\frac{858}{104}\ ft[/tex]

Convert to mixed number

[tex]L=\frac{858}{104}=\frac{832}{104}+\frac{26}{104}=8\frac{1}{4}\ ft[/tex]

The length of the bathroom floor in this case is 8 1/4 feet.

The area of a rectangle is calculated by multiplying its length by its width. In this case, with the bathroom floor having an area of 53 5/8 square feet and a width of 6 1/2 feet, we can find the length as follows:

Area = Length x Width

53 5/8 = Length x 6 1/2

Length = 53 5/8 / 6 1/2

Length = 8 1/4 feet

Therefore, the length of the bathroom floor is 8 1/4 feet.

The answer is

[tex]y = - 3x + \frac{18}{5} [/tex]

umm ok then its 2...

As given,

Number of sheets of paper put in the binder 8 days ago = 50 sheets

Current number of sheets left after 8 days = 2 sheets

So, number of sheets used in 8 days = [tex]50-2=48[/tex] sheets

As it is stated that the same number of sheets are used each day, so number of sheets used per day = [tex]\frac{48}{8}=6[/tex] sheets.

Hence, 6 sheets of paper were used each day.

Answer:

6

Step-by-step explanation:

Answer: the one that is not a magor epense catgortuy is c : transportation

Step-by-step explanation:

the answer is: C) transportation

For the given sets, the domain of set C is {2}, and its range is {5, 6, 7}. Set E has both domain and range as {3, 4, 5, 6}.

A set of ordered pairs is defined as a relation. The domain of a relation is the set of all the first elements of the ordered pairs, and the range is the set of all the second elements. Let's look at the listed sets and determine their domains and ranges.

A function is a special type of relation where each element of the domain is associated with exactly one element in the range. This condition is also known as the vertical line test when graphing the relation on a coordinate plane.

Answer:

[tex] R = 10.39^\circ [/tex]

Step-by-step explanation:

Since you have the lengths of all the sides, you can use sine, cosine, or tangent to find the answer. Let's use the tangent ratio.

For angle C, AB is the opposite leg, and BC is the adjacent leg.

[tex] \tan C = \dfrac{opp}{adj} [/tex]

[tex] \tan C = \dfrac{22}{120} [/tex]

[tex] C = \tan^{-1} \dfrac{22}{120} [/tex]

[tex] C = 10.39^\circ [/tex]

Applying the tangent ratio (tan ∅ = opposite length/adjacent length), the measure of angle C, to the nearest hundreth, is: 10.39°

In a given right triangle, the tangent ratio is given as, tan ∅ = opposite length/adjacent length.

Given the following:

Applying the tangent ratio:

tan C = 22/120

m∠C = tan^(-1)(22/120)

m∠C = 10.39° (nearest hundreth)

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Answer:

Step-by-step explanation:

$2345.20

The total cost price of the car is $2,345.2.

Given that, a car insurance company paid 1758.90 to repair a car that has been rear-ended. This was 75% of the total cost of the repair.

We need to find what was the total cost price of the car.

The amount paid to purchase an article or the price at which an article is made is known as its cost price. The cost price is abbreviated as C.P. Selling Price: The price at which an article is sold is known as its selling price. The selling price is abbreviated as S.P.

Let the total cost price be x.

Now, 75% of x=1758.90

⇒0.75×x=1758.90

⇒x=$2,345.2

Therefore, the total cost price of the car is $2,345.2.

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Answer:

one sample t-test will be appropriate in this case

Step-by-step explanation:

We are carrying out a hypothesis test of the mean with the population standard deviation being unknown. We shall estimate the population standard deviation with the sample equivalent, s in determining the value of the test-statistic.

Answer:

A left-tailed test

Step-by-step explanation:

Answer:

[tex](2a-b)(a-2b) = 0[/tex]

Step-by-step explanation:

We can use the quadratic formula to factor this expression

For a quadratic function of the form:

[tex]na ^ 2 + ma + c[/tex]

Whe have:

[tex]2a^2 + 2b^2 - 5ab[/tex]

Then:

[tex]n = 2\\\\m = -5b\\\\c = 2b^2[/tex]

The quadratic formula is:

[tex]a =\frac{-m\±\sqrt{m^2-4nc}}{2n}[/tex]

Then the solutions are:

[tex]a= \frac{-(-5b)\±\sqrt{(-5b)^2 -4(2)(2b^2)}}{2(2)}\\\\a = \frac{5b\±\sqrt{25b^2-16b^2}}{4}\\\\a = \frac{5b\±3b}{4}\\\\a_1=2b\\\\a_2 =\frac{b}{2}[/tex]

Finally The factored expression is:

[tex]a-\frac{b}{2} = 0\\\\2a -b = 0\\\\[/tex]

and

[tex]a-2b= 0[/tex]

Then

[tex]2a^2 + 2b^2 - 5ab = (2a-b)(a-2b) = 0[/tex]

Final answer:

A biconditional statement regarding Alaska's size is 'Alaska is the biggest state in the United States of America if and only if no other state in the United States has more territory than Alaska.' This statement clarifies that Alaska's status as the largest state is based on a measurable, verifiable fact.

Explanation:

A biconditional statement is a logical assertion that combines two statements into one, where one statement implies the other, and vice versa. In this context, the statement 'Alaska is the biggest state in the United States of America' can be written as a biconditional statement as follows:

'Alaska is the biggest state in the United States of America if and only if no other state in the United States has more territory than Alaska.'

This biconditional statement emphasizes the fact that Alaska's status as the largest state is contingent on the condition that all other states must have less territory. This is a fact that is verifiable and not subject to opinion, underscoring the importance of factual accuracy in research and the careful use of evidence.

I think it's possibly a rhombus

Answer:

163/500 = 0.326

Step-by-step Explanation:

Drawing a Venn diagram for this, we will have 3 circles.  One will represent rock, one will represent country, and one will represent jazz.

There are 11 students that like all 3 types of music.  This means the number 11 goes in the intersection of all 3 circles.

There are a total of 30 students that like rock and country; taking out the 11 that like all 3, this leaves 30-11 = 19 students in the intersection of just rock and country.

There are a total of 27 students that like rock and jazz; taking out the 11 that like all 3, this leaves 27-11 = 16 students in the intersection of just rock and jazz.

There are a total of 22 students that like country and jazz; taking out the 11 that like all 3, this leaves 22-11 = 11 students in the intersection of just country and jazz.

There are 206 students that like rock; taking out the 11 that like all 3, the 19 that like rock and country, and the 16 that like rock and jazz, we have

206-(11+19+16) = 206-(46) = 160 in just rock.

There are 161 students that like country; taking out the 11 that like all 3, the 19 that like rock and country, and the 11 that like country and jazz, we have

161-(11+19+11) = 161-(41) = 120 in just country.

There are 118 students that like jazz; taking out the 11 that like all 3, the 16 that like rock and jazz, and the 11 that like country and jazz, we have

118-(11+16+11) = 118-38 = 80 in just jazz.

This leaves

500-(80+120+160+11+11+19+16) = 500-417 = 83 students that like none of the 3 types of music.

This means for the probability that a student likes neither rock nor country, they either like just jazz or none of the 3; this is (83+80)/500 = 163/500 = 0.326.

The probability that a randomly selected student likes neither rock nor country is;

P(R' ∩ C') = 0.326

Let us denote them as follows;

Number that like rock music be R

Number that like Country music be C

Number that like Jazz music be J

Thus, as we are given we have;

R = 206

C = 161

J = 118

R ∩ C = 30 - 11 = 19

R ∩ J = 27 - 11 = 16

C ∩ J = 22 - 11 = 11

R ∩ C ∩ J = 11

n(only jazz) = J - [(R ∩ J) + (C ∩ J) + (R ∩ C ∩ J)]

n(only jazz) = 118 - (16 + 11 + 11)

n(only J) = 80

n(only Rock) = R - [(R ∩ C) + (R ∩ J) + (R ∩ C ∩ J)]

n(only Rock) = 206 - (19 + 16 + 11)

n(only R) = 160

n(only country) = C - [(R ∩ C) + (C ∩ J) + (R ∩ C ∩ J)]

n(only country) = 161 - (19 + 11 + 11)

n(only C) = 120

Now, the number of students that like neither of the 3 music is;

A' ∩ B' ∩ C' =  500 - [(R ∩ C) + (R ∩ J) +  (C ∩ J) + (R ∩ C ∩ J) + n(only J) + n(only R) + n(only C)]

⇒ 500 - (80 + 120 + 160 + 19 + 16 + 11 + 11)

⇒ A' ∩ B' ∩ C' = 83

Thus, number of students that likes neither rock nor country is;

n(A' ∩ B') = (A' ∩ B' ∩ C') + n(only C)

n(A' ∩ B') = 83 + 80

n(A' ∩ B') = 163

Thus, probability that a randomly selected student likes neither rock nor country = 163/500 = 0.326

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Answer:

Nine

Step-by-step explanation:

The smallest number of buns is one pack or 9 buns.

If there is one hot dog per bun, the smallest number of hot dogs is nine.

Answer:

36 hotdogs

Step-by-step explanation:

Mathematically, we say that 36 is the least common multiple of 12 and 9. In math notation this looks like:

lcm of 9 and 12 is 36

The smallest total number of hot dogs that Yadira's mom can purchase is , 36.

The pic will help you

Good luck:))

Answer:

Step-by-step explanation:

U+b=15

7+8=15

Answer:

It is a right triangle because if it contains a 90 degree angle (a right angle), it's  a right triangle.

Step-by-step explanation:

It would be a right angled triangle because all triangles with a 90 degree angle are right angle triangles : 90 degrees is a right angle

Answer:

A = (x^2 - 2x - 8) m^2

Second option

Step-by-step explanation:

Area of rhombus = 1/2 d1 * d2

= 1/2(2x+4)(x-4)

= 1/2 (2x^2 -8x + 4x - 16)

= 1/2 (2x^2 - 4x - 16)

= x^2 - 2x - 8

Answer:

38°

Step-by-step explanation:

One side length is 34cm and the hypotenuse is 55cm. Used SOH-CAH-TOA to find what trig function to use. You have the opposite side and the hypotenuse, so use sine. SinC = 34/55. You can input this into a calculator as 34/55 and press sin^-1 to get the angle value, which is approximately 38°.

Answer:

△ABC is a right triangle with right angle at ∠B.

AB=34 cm  

AC=55 cm

What is the measure of ∠C, to the nearest degree?

Enter your answer in the box.

38°

Step-by-step explanation:

The equations are shown in the top of the tables,

Replace x in the equations with the values of x given:

a = 4^-0 = 1

b = 4^-2 = 1/16

c = 4^-4 = 1/256

d = (2/3)^0 = 1

e = (2/3)^2 = 4/9

f = (2/3)^4 = 16/81

The value of a, b, c, d, e, and f are 1, 1/16, 1/256, 1, 4/9, and 16/81 after plugging the values of x.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×

where a is a constant and a>1

We have:

y = 4⁻ˣ

x = 0

a = 4⁻⁰ = 1

x = 2

b = 4⁻² = 1/16

x = 4

c = 4⁻⁴ = 1/256

y = (2/3)ˣ

x = 0

d = (2/3)⁰ = 1

x = 2

e = (2/3)² = 4/9

x = 4

f = (2/3)⁴ = 16/81

Thus, the value of a, b, c, d, e, and f are 1, 1/16, 1/256, 1, 4/9, and 16/81 after plugging the values of x.

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[tex]\bf \begin{array}{ccll} miles&\stackrel{gas}{gallons}\\ \cline{1-2}\\ 23\frac{1}{8}&1\\\\ x&17 \end{array}\implies \cfrac{23\frac{1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{23\cdot 8+1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{185}{8}}{x}=\cfrac{1}{17} \\\\\\ \cfrac{\frac{185}{8}}{\frac{x}{1}}=\cfrac{1}{17}\implies \cfrac{185}{8}\cdot \cfrac{1}{x}=\cfrac{1}{17}\implies \cfrac{185}{8x}=\cfrac{1}{17} \\\\\\ 3145=8x\implies \cfrac{3145}{8}=x\implies 393\frac{1}{8}=x[/tex]

Answer:

450

Step-by-step explanation:

To find an area of the triangle, you must first multiply the base and the height.