the height of a triangle is 4 times its base. if he are of a triangle is 200cm, what is the height

Answers

Answer 1

A = (h * b) / 2
A = 200
h = 4b

200 = (b(4b) / 2
200 * 2 = b * 4b
400 = 4b^2
400 / 4 = b^2
100 = b^2
sqrt 100 = b
10 = b ..... base is 10 cm

h = 4b
h = 4(10)
h = 40 <=== height is 40 cm

Related Questions

is that ok?? i just want to make sure, thanks

Answers

it is not unless there is a rotation as well but if not the correct answer is j(-3,-5) i(2,-1) k(2,-4)

Given the function f(x)=x2+2x+1, find: f(2b)

Given the function f(x)=x2+2x+1, find: f( 2a−3/5 )

Answers

I will do the first one only. The second question is done the same way.

Replace every x you see in the function with 2b and do the math.

f(x) = x^2 + 2x + 1

Let x = 2b

f(2b) = (2b)^2 + 2(2b) + 1

f(2b) = 4b^2 + 4b + 1

Did you follow? That's all there is to it.

the sum of three consecutive integers is 105 which equation could you use to find the three integers?

Answers

Equation: n + (n +1) + (n+2) = 105

solution:

n + (n +1) + (n+2) = 105

3n +3 = 105

3n = 102

n = 102/3

n = 34

34 +1 = 35

34+2 = 36

34 +35 +36 = 105

25 POINTS PLS HURRY!!!
How does the graph of g(x)=0.25⌊x⌋ differ from the graph of f(x)=⌊x⌋?

Multiplying by 0.25 shifts the graph of g(x)=0.25⌊x⌋ up 0.25 unit.

Multiplying by 0.25 shifts the graph of g(x)=0.25⌊x⌋ right 0.25 unit.

Multiplying by 0.25 shifts the graph of g(x)=0.25⌊x⌋ down 0.25 unit.

Multiplying by 0.25 compresses the graph of g(x)=0.25⌊x⌋ vertically by a factor of 0.25.

Answers

Multiplying by 0.25 shifts the graph of g(x)=0.25⌊x⌋ up 0.25 unit.

Answer:

The answer is d

Step-by-step explanation:

Simplify square root of negative 48.

a) negative 4 square root of 3
b) 4 square root of negative 3
c) 4 i square root of 3
d) 4 square root of 3 i

Answers

We want to simplify √(-48).

Note that
i² = -1 by definition.
Therefore
[tex] \sqrt{-48} = \sqrt{i^{2}.16.3} = \sqrt{i^{2}} \sqrt{16} \sqrt{3} =4i \sqrt{3} [/tex]

Answer: c. [tex]4i \sqrt{3} [/tex]

Answer:

C. 4 i square root of 3

Step-by-step explanation:

Sally has 42 coins, all dimes and nickels, that have a total value of $3.00. How many nickels does she have?

Answers

Final answer:

Sally has 24 nickels.

Explanation:

To determine the number of nickels Sally has, we can set up a system of equations using the given information. Let's assume Sally has x nickels and (42 - x) dimes. The value of the nickels is 5x cents, and the value of the dimes is 10(42 - x) cents. We can set up the equation: 5x + 10(42 - x) = 300 (since the total value is $3.00).

Simplifying the equation, we get: 5x + 420 - 10x = 300. Combining like terms, we have: -5x + 420 = 300. Subtracting 420 from both sides gives us: -5x = -120. Dividing both sides by -5, we find x = 24.

Therefore, Sally has 24 nickels.

SOS!!!!!!!!!!!!!!!!!!!!!!

Answers

Your answer is option 3. Dashed lines because the inequality on either line is NOT an "or equal to" statement.

What is the lowest common multiple of (3^2 x 8^4) and (3^3 and 8^3) ?
Help me and how to do this??

Answers

would it be LCM=24

Hope this helps :)

State the missing reasons in this flow proof.

Given: angle 5 = 40, angle 2 = 140.
Prove: a is parallel to b.

Statements:
angle 5 = 40 a. ____________.
angle 2 = 140 b. _____________.
angle 5 and angle 2 are supplementary angles c.________.
Angle 5 and angle 2 are same-side interior angles d._________.
a is a parallel to b e._______

Answers

Final answer:

The provided statements are either given information, interpretations from the given diagram or applying rules of geometry such as the definitions of supplementary angles and the Same-Side Interior Angles Theorem.

Explanation:

The missing reasons in this geometric proof are as follows:

a. Given: The fact that angle 5 = 40 is simply provided, it's the given information in the question.

b. Given: Similarly, the measurement of angle 2 being 140 is given information.

c. Definition of supplementary angles: Angle 5 and angle 2 are supplementary because the sum of their measure equals 180 (40+140).

d. Interpretation of the diagram: Without a diagram, it's difficult to be precise, but if angle 5 and angle 2 are indicated as same-side interior angles, then this inference comes from interpreting the diagram.

e. Same-Side Interior Angles Theorem: Lastly, if the same-side interior angles are supplementary, then the lines are parallel. This is a rule encapsulated by the same-side interior angles theorem.

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Find x if:

64x^3=a^6

Answers

64x^3=a^6
x^3=a^6/64
x=cuberoot(a^6/64)=a^2/4

The answer will be (a/2) to the power of 2.

Solve each system by graphing or using a table

Answers

attached is the graph and table

What is the relationship between the sine and cosine of complementary angles in a right triangle? Please give an example to support your answer.

Answers

Consider the right triangle ABC with sides a, b, and c as shown in the figure.

Let [tex]m(\angle A)=\alpha[/tex], and [tex]m(\angle B)=\beta[/tex].

[tex]\alpha +\beta=90^{\circ}[/tex], so angles A and B are complementary.

According to the definition of sine, and cosine:

[tex]\displaystyle{ \sin \alpha= \frac{opposite\ side}{hypotenuse} =\frac{a}{c} [/tex], and

[tex]\displaystyle{ \cos \beta= \frac{adjacent\ side}{hypotenuse} =\frac{a}{c} [/tex]

Answer: they are equal.

Final answer:

The sine and cosine of complementary angles in a right triangle are equal to each other but reversed, because the opposite side for one angle is the adjacent side for the other, relative to the hypotenuse.

Explanation:

The relationship between the sine and cosine of complementary angles in a right triangle is that they are equal to each other but reversed. If one angle is x and its complementary angle is 90° - x (because complementary angles add up to 90°), then the sine of x is equal to the cosine of its complementary angle, and vice versa.

This is because, in a right triangle, the side that is the opposite side for one angle becomes the adjacent side for the complementary angle, relative to the hypotenuse which remains the same for both angles.

For example, in a right triangle with one acute angle of 30°, its complementary angle is 60°. The sine of 30° is 1/2, and the cosine of 60° is also 1/2. Similarly, the cosine of 30° is [tex]\sqrt{3/2[/tex], and the sine of 60° is [tex]\sqrt{3/2[/tex] shows a complementary relationship.

In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.

Answers

Jim is 6 / Harry is 2

In 4 years Harry will be 6
In 2 years Jim will be 8 and Harry will be 4 which is twice as much Harry's age.

hope this helps!

Answer: The present age of Harry is 2 years and that of Jim is 6 years.

Step-by-step explanation: Given that in 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be.

We are to find the present ages of Harry and Jim.

Let x and y represents the present ages of Harry and Jim respectively.

Then, according to the given information, we have

[tex]x+4=y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y+2=2(x+2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

Substituting the value of y from equation (i) in equation (ii), we get

[tex]y+2=2x+4\\\\\Rightarrow x+4+2=2x+4\\\\\Rightarrow 2x-x=2\\\\\Rightarrow x=2.[/tex]

From equation (i), we get

[tex]y=x+4=2+4=6.[/tex]

Thus, the present age of Harry is 2 years and that of Jim is 6 years.

Factor -8x^3-2x^2-12x-12x-3

Answers

-8x^3-2x^2-24x-3 I think.

The perimeter of a rectangle is 36 inches, and the area is 65 square inches. find the length and width of the rectangle.

Answers

With a perimeter of 36, and a known width of 5, that means the length is 13. This makes the area 65.

Perimeter = (2 x Length) + (2 x Width)Width = [Perimeter - (2 x Length)]/2= [36 -(2 x 13)]/2= (36 - 26)/2= 10/2= 5 inches
Area = Length x Width= 13 x 5 = 65 square inches

A=11+4b-4c. Solve for C.
Answee Choices:
A. C=a-4b-11/-4
B. C=a+b-11/-4
C. C=a+4b+11/-4
D. C=a-b+11/-4
Can someone please explain this with steps? I don't understand this problem. Thanks!

Answers

Hey Joshua!

The correct answer is option A

a= 11 + 4b - 4c
-4c = a + 11 + 4b
Divide both sides by -4
-4c/-4 = (a + 11 + 4b)/-4
c = a -4b - 11/-4

I hope I helped!

Two expressions with equal sign is equation. C=a-4b-11/-4 is the solution for c when given equation is A=11+4b-4c. Option A is correct.

What is equation?

Two expressions with equal sign is called as equation.

Given equation,

a= 11 + 4b - 4c

We need to separate c from equation,

-4c = a - 11 - 4b

Divide both sides by -4

c=(a-11-4b)/-4

Therefore option A is correct for equation A=11+4b-4c.

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If your car travels 290 miles and uses 8.2 gallons, how many miles per gallon did you get? (round your answer to three decimal places.)

Answers

you divide them and get 35.36

Identify the expression that is equivalent by distributive property of5(2x+3)A 10x +3B 10x + 5C 10x +15

Answers

your answer is c 10x + 15

5 time 2x is 10x plus 5 times 3 is 15 because you multiply the 5 with everything inside the parentheses. so your equarions should look like 10x + 15

5(2x + 3)

10x + 15

Choice C

Write (9 + 6i) − (1 + 3i) as a complex number in standard form.

Answers

[tex](9+6i)-(1+3i)[/tex]

[tex](8+6i)-(3i)[/tex]

[tex]8+3i[/tex]

Answer

8+3i

Step-by-step explanation:

(9 + 6i) − (1 + 3i)

(8+6i)-(3i)

8+3i

Using synthetic division, what is the quotient (2x3 − 2x − 12) ÷ (x − 2)? 2x2 + 4x + 6 2x2 − 4x + 6 2x2 + 4x − 6 2x2 + 4x − 6 + 1 over the quantity of x minus 2

Answers

The answer to your question would be 2x^2+4x+6

Answer:

[tex]\text{The quotient is }2x^2+4x+6[/tex]

Step-by-step explanation:

Given the dividend and divisor we have to find the remainder using synthetic division.

The given polynomial [tex]2x^3-2x-12[/tex] is divided by (x-2).

Step 1: Set up the synthetic division.

The dividend goes on the inside of the box.

Step 2: Bring down the leading coefficient to the bottom row.

Step 3: Multiply c i.e 2 by the value just written on the bottom row.

Step 4: Add the column created in step 3 and write the sum in the bottom row.

Repeat steps 1-4 until the last column.

From the last row the remainder becomes

[tex]2x^2+4x+6[/tex]

Hence, option A is correct.

write an equation of the line that passes through the given point(-2,5) and is parallel to the given line 2y=4x-6

Answers

y=2x+b

substitute -2 for x and 5 for y
5=2(-2)+b4

Solve for b
b=9

The equation is
y=2x+9

A giraffe can run 32 miles per hour. What is this speed in feet per second? Round your answer to the nearest tent.

Answers

ANSWER: 46.9 feet per second

32 miles per hour
5280 feet in 1 mile
32 x 5280 = 168,960 feet per hour
3600 seconds per hour

168,960 divided by 3600 = 46.9333 (continuous)
rounded to the nearest tenth is 46.9 feet per second.

Speed is the rate of change of distance over time.

The speed in feet per seconds is 46.9

The speed of the giraffe is given as:

[tex]\mathbf{Speed = 32 miles/hour}[/tex]

Start by converting miles to feet

To do this, we multiply 32 by 5280.

So, we have:

[tex]\mathbf{Speed = 32 \times 5280feet/hour}[/tex]

[tex]\mathbf{Speed = 168960feet/hour}[/tex]

Next, convert hour to seconds

To do this, we divide by 36000.

So, we have:

[tex]\mathbf{Speed = \frac{168960}{3600} feet/seconds}[/tex]

[tex]\mathbf{Speed = 46.9 feet/seconds}[/tex]

Hence, the speed in feet per seconds is 46.9

Answers

.08c = .05c + 7.50; c = 250

Answer:

.08c=.05c-7.50; c=250

Step-by-step explanation:

Plz can I help me with math

Answers

It will equal £21 for the rifles

£7 divided by 2=1 trifle so 1 trifle=1.50

6x1.50=£9

6trifles=£9

brainliest plz

Fabian has a savings account balance of $1,374.73. The interest rate on the account is %3.9 compounded twice a year. If he opened the account nine years ago, what was the value of his deposit?

Answers

The effective interest given that the account is compounded semi-annually is calculated through the equation,

ieff = (1 + i/n)^m - 1

Substituting the known values,
ieff = (1 + 0.039/2)^2 - 1
ieff = 0.0394

The value of the initial investment can be calculated through the equation,
F = P x (1 + ieff)^n

P = F / (1 + ieff)^n

Substituting the known values,
P = ($1374.73) / (1 + 0.0394)^9

P = $971.06

ANSWER: $971.06

What does it mean to be “in the black?”

Answers

From the accounting perspective, if an account is said to be in the black, that means the account contains money. If a company is said to be in the black, that means that the company is making profits. Thus, generally to be in the black means to be financially well off, that is one is not in debt.
To be in red is the opposite of to be in black and it means that the person is in debt.

Answer: c you have more credits then debts

Step-by-step explanation:

WXY is an isosceles triangle with line WX congruent to line WY. if WX is 3 more than four times x, XY is 7 less than five times x, and WY is 66 less than seven times x, find x and the measure of each side.

Answers

Answer:

x=10

Step-by-step explanation:

part 1:

4x+3=5x-7

(subtract 4x from 5x to get 1x and add 7 to 3 to get 10)

1x=10

x=10

part 2:

WX=4(10)+3=43

XY=5(10)-7=43

WY=7(10)-66=4

An isosceles triangle, have two congruent sides.

The value of x is 23The measure of each side is 95, 95 and 108

From the question, we have the following highlights

[tex]\mathbf{WX = WY}[/tex]

[tex]\mathbf{WX = 3 + 4x}[/tex]

[tex]\mathbf{XY = 5x - 7}[/tex]

[tex]\mathbf{WY = 7x - 66}[/tex]

(a) Find x

We have:

[tex]\mathbf{WX = WY}[/tex]

Substitute values for WX and WY

[tex]\mathbf{3 + 4x = 7x - 66}[/tex]

Collect like terms

[tex]\mathbf{7x - 4x = 3 + 66}[/tex]

[tex]\mathbf{3x = 69}[/tex]

Divide both sides by 3

[tex]\mathbf{x = 23}[/tex]

Hence, the value of x is 23

(b) The measure of each side

Substitute 23 for x in:

[tex]\mathbf{WX = 3 + 4x}[/tex]

[tex]\mathbf{XY = 5x - 7}[/tex]

[tex]\mathbf{WY = 7x - 66}[/tex]

[tex]\mathbf{W = 3 + 4 \times 23}[/tex]

[tex]\mathbf{W = 95}[/tex]

[tex]\mathbf{XY = 5x - 7}[/tex]

[tex]\mathbf{XY = 5 \times 23 - 7}[/tex]

[tex]\mathbf{XY = 108}[/tex]

[tex]\mathbf{WY = 7x - 66}[/tex]

[tex]\mathbf{WY = 7 \times 23 - 66}[/tex]

[tex]\mathbf{WY = 95}[/tex]

Hence, the measure of each side is 95, 95 and 108

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How do you find the quadratic equation of a parabola with the vertex and x intercept?

Answers

This is the notes to finding the parabola

Terms and coefficients of 7p - 3r + 6 - 5s

Answers

Final answer:

The terms and coefficients of the expression 7p - 3r + 6 - 5s are 7p, -3r, 6, and -5s, with coefficients of 7, -3, no coefficient, and -5 respectively.

Explanation:

The terms and coefficients of the expression 7p - 3r + 6 - 5s are:

The term 7p has a coefficient of 7.The term -3r has a coefficient of -3.The term 6 is a constant and does not have a coefficient.The term -5s has a coefficient of -5.

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Find the measure of an angle whose measure is 60 degrees more than the measure of its complement

Answers

Two complementary angles add up to 90 degrees. Hence, the problem can be set up and solved. Let x represents one angle and 5x represent the angle that is 5 times greater:x + 5x = 90 (simplify)6x = 90 (next divide both sides by 6 to find the value of x [the smaller angle])x = 15 (this is the smaller angle, next subtract 15 from 90 to find the greater angle)90 - 15 = 75 (this is the greater angle which is 5 times that of its complement) 90 take away 73...

Answer:

75⁰

Step-by-step explanation:

Angle = x

Complement = 90 - x

Given:

x = 90 - x + 60

2x = 150

x = 75⁰

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