Pedro is building a playground in the shape of a right triangle. He wants to know the area of the playground to help him decide how much sand to buy. Compose the playground and a matching triangle into a rectangle. What are the dimensions of the​ rectangle? Find the area of the playground. A right triangle has a horizontal base of length 6 yards and a height of 3 and one third yards.

Answer:

If we are working with numbers 26m, 24m, 20m, 26m, 39m

Than the surface area of the shape would be 0.24

Work:

3.46 × 106 = 366.76

366.76 + 20 =386.76

386.76 in square meters is 0.24

Answer:

12

Step-by-step explanation:

x is the height, and we notice that this isosceles triangle is two 5-12-13 triangles put together. Therefore, x = 12

Another method. Use pythagorean theorem. x^2 + (10/2)^2 = 13^2

x^2 + 25 = 169

x^2 = 144

x = 12

Answer:

-81

Step-by-step explanation:

f(x) = 8x -1

f(-10) = 8(-10) -1

f(-10) = -80-1

f(-10) = -81

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

rectangle: 6×7=42

triangle: (4×6)÷2= 12

the whole area: 42+12=54

Answer:

x^2 + (y + 6)^2 = 4^2

Step-by-step explanation:

The general form we need here is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

If the center is at (0, -6) and the radius is 4, then the desired equation is

(x - 0)^2 + (y + 6)^2 = 4^2, or just

x^2 + (y + 6)^2 = 4^2

Answer:

!. Scale factor = 5

2. Scale factor = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

scale = [tex]\frac{length in drawing}{actual length}[/tex]

1. To increase the numbers, let the scale factor be [tex]\frac{5}{1}[/tex] = 5. So that;

0.05 x 5 = 0.25

[tex]\frac{1}{2}[/tex] x 5 = 0.5 x 5 = 2.50

7 x 5 = 35.00

13 x 5 = 65.00

25 x 5 = 125.00

102 x 5 = 510.00

2. To decrease the numbers, let the scale factor be [tex]\frac{1}{5}[/tex]. So that;

0.05 x [tex]\frac{1}{5}[/tex] = 0.01

[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{5}[/tex] = 0.5 x [tex]\frac{1}{5}[/tex] = 0.10

7 x [tex]\frac{1}{5}[/tex] = 1.40

13 x [tex]\frac{1}{5}[/tex] = 2.60

25 x [tex]\frac{1}{5}[/tex] = 5.00

102 x [tex]\frac{1}{5}[/tex] = 20.40

Answer:

1 1/4 feet

Step-by-step explanation:

3 1/2 feet + 2 feet = 5 1/2 - 8 = 2 1/2 ÷ 2 = 1 1/4

Answer:

a-1 would still be positive if not exactly on 0

Step-by-step explanation:

Answer:

A is positive

Step-by-step explanation:

Because a is after 0, and anything after 0 is postive. If it was negative, it would be before 0.

Answer

Calculator.net

i hope you use this it will help a lot

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

by phythagoras theorm

AB² + BC² = AC²

5² + BC² = 13²

25 + BC² = 169

BC² = 169 - 25

BC² = 144

BC = √144

BC = 12cm

Answer:

your answer will be C. y = x-4

Step-by-step explanation:

hope it helps you...

Answer:

720.8

Step-by-step explanation:

(2.6 × 106) + (4.2 × 106)

275.6 + 445.2

720.8

Answer:

am gonna need more imformation

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer: Cos, Cosine

Step-by-step explanation:

You can use SOH CAH TOA to help you find out whether you are using Sine, Cosine or Tangent.

SOH- The 'S' is for Sine, then the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH- The 'C' is for Cosine, the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA- The 'T' is for Tangent, then the 'O' and the 'A' is for Opposite over Adjacent.

As you have the Adjacent (the side next to the angle you are looking for) and Hypotenuse (the side opposite the right angle), you would be using Cosine.

I haven't answered it because I read this as though you wanted the explanation. If you do want an answer just let me know then I can edit my answer.

Hope this helps :)

Answer:

-8

Step-by-step explanation:

Its actually simple once you get the basics

Find out the difference between the first two digits given e.g 8,6: the difference is 2 so you check if it's the same difference e.g 6,4: the difference is also 2 so you keep subtracting or adding 2 as the case may be.

[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]

[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]

I do not know which one you mean but still one of them is still your answer. :)

Answer:

1) x = 18 2) x = 7

Step-by-step explanation:

Edit: Decided to solve the second too! :)

1)

12/16 = x/(x+6)

12x + 72 = 16x

72 = 4x

x = 18

2)

(-4 + 4x)/64 = 27/72

-288 + 288x = 1,728

288x = 2,016

x = 7

Answer:

p, the number of pizzas ordered

Step-by-step explanation:

The independent variable in the equation will be the variable that controls the cost.

Since the total cost will depend on the number of pizzas ordered, the number of pizzas ordered will be the independent variable.

The total cost is the dependent variable, since it depends on the number of pizzas.

So, the independent variable in the equation is p, the number of pizzas ordered.

Answer:

4/5

Step-by-step explanation:

I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.

The deer population in 5 years is approximately 294 deer.

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.

a. To solve the differential equation dP/dt = −0.1P, we can separate the variables and integrate:

dP/P = −0.1 dt

Integrating both sides gives:

ln|P| = −0.1t + C

where C is the constant of integration. To solve for C, we can use the initial condition that P = 495 when t = 0:

ln|495| = −0.1(0) + C

C = ln|495|

Substituting this value of C back into the equation gives:

ln|P| = −0.1t + ln|495|

Simplifying using logarithm properties, we get:

ln|P/495| = −0.1t

Exponentiating both sides gives:

|P/495| = e^−0.1t

Taking the absolute value off and multiplying both sides by 495, we get:

P = 495e^−0.1t

To find the deer population in 5 years, we can substitute t = 5 into the equation:

[tex]P = 495e^{-0.1(5)} = 294[/tex] deer (rounded to the nearest deer).

Therefore, the deer population in 5 years is approximately 294 deer.

b. To find an equation for the deer population P(t) in terms of t and k for the period after 5 years, we can use the differential equation:

dP/dt = k(650−P)

Separating the variables and integrating, we get:

∫dP/(650−P) = ∫k dt

Using partial fraction decomposition and integrating, we get:

ln|650−P| = −kt + C

where C is the constant of integration. To solve for C, we can use the initial condition that P = 294 when t = 5:

ln|650−294| = −k(5) + C

C = ln|356| + 5k

Substituting this value of C back into the equation gives:

ln|650−P| = −kt + ln|356| + 5k

Simplifying using logarithm properties, we get:

ln|(650−P)/356| = −kt

Exponentiating both sides gives:

[tex]|(650-P)/356| = e^{-kt[/tex]

Taking the absolute value off and multiplying both sides by 356, we get:

[tex]650-P = 356e^{-kt[/tex]

Solving for P gives:

[tex]P = 650-356e^{-kt[/tex]

Therefore, the equation for the deer population P(t) in terms of t and k for the period after 5 years is P = 650−356e^−kt.

c. Using the growth model from part b), if the deer population is 350 one year later, we can substitute t = 1 and P = 350 into the equation and solve for k:

350 = 650−356e^−k

Solving for [tex]e^{-k[/tex] gives:

[tex]e^{-k = (650-350)/356 = 3/2[/tex]

Taking the natural logarithm of both sides gives:

−k = ln(3/2)

Solving for k gives:

k = −ln(3/2) ≈ 0.4055

Therefore, k ≈ 0.4055.

d. Using the growth model from part b) and the value of k from part c), the long-term behavior of the deer population as t → ∞ is determined by the limit:

lim P(t) as t → ∞

We can use the fact that [tex]e^{-kt[/tex]approaches 0 as t →

Learn more about exponential growth and decay here:

https://brainly.com/question/17161065

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Answer:

Please attach an image.

f(x) = (cost)x

Answer:

c=s*x

Step-by-step explanation:

C will be the total cost of our family's outing to the soccer game

While x will be the hours

and S will be the soccer game

So s*x will equal the cost

Making c=.

Hope this helps!

:D

Answer:

First image: (6, -1)

2nd image: y = 63

Explanation:

1)

2x + y = 11

1/2x - 5y = 8

y = -2x + 11

1/2x - 5(-2x + 11) = 8

1/2x + 10x - 55 = 8

10.5x - 55 = 8

10.5x = 63

x = 6

2x + y = 11

2(6) + y = 11

12 + y = 11

y = -1

(x , y) = (6, -1)

2)

1/4(8y - 4.8) = 2 (0.9y + 5.4) + 3/5

2y - 1.2 = 1.8y + 10.8 + 0.6

0.2y - 1.2 = 11.4

0.2y = 12.6

y = 63

Answer:

Rs.1080

Step-by-step explanation:

1 book=720/6=120

9 books=120*9=1080

Answer:

Total interest paid:$6.56

Step-by-step explanation:

I used multiple loan calculators.

Answer:

A

Step-by-step explanation:

because the sky is blue

The length of AC after dilation will be 20. Then the measure of the angle ∠A' will be 37°.

We have given that,

AABC is dilated by a factor of 4 to produce AA'B'C'.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The triangle ΔABC is dilated by a factor of 4 to produce the triangle ΔA'B'C'.

Then the length of AC after dilation. We have

A'C' = scale factor x AC

A'C' = 4 x 5

A'C' = 20

Then the measure of the angle ∠A' will be

There is no effect of dilation on the angle.

∠A = ∠A' = 37°

Thus, the correct option is A.

More about the dilation link is given below.

brainly.com/question/2856466

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