All categories

3 years ago

The equation a2 + b2 = ca represents the relationship between the three sides of a right triangle.

Mathematics

1 answer:

choli [55]3 years ago

3 0

Answer:

Step-by-step explanation:

I think you mean a² + b² = c², not ca.

a = 10, c = 26

b² = c² - a² = 26² - 10² = 576

b = √576 = 24 ft

You might be interested in

30 POINTS!!! Louie is trying to find a rectangular canvas for his art project. Its diagonal must measure 23.3 inches and form a

Lisa [10]

Answer:

12 inches

Step-by-step explanation:

Given

$\theta = 31^{\circ}$

$diagonal = 23.3\ in$

Required

Determine the height of the canvas

The question is illustrated using the attached image.

Using the attachment as a point of reference, the height is calculated from

$sin \theta = \frac{opp}{hyp}$

This gives:

$sin 31^{\circ}= \frac{h}{23.3}$

Make h the subject

$h = 23.3 * sin(31^{\circ)$

$h = 23.3 * 0.5150\\$

$h = 11.9995$

$h = 12\ inches$

7 0

3 years ago

Read 2 more answers

Here is an equation for a circle: (x-3)^2 + (y+10)^2 = 81.

saw5 [17]

Answer: 2.

Step-by-step explanation: Write the equation of the circle using h = 2, k = –1, and r = ... (x – 1). 2. + y. 2. = 4 is a circle with center (1, 0) and a radius of 2.

7 0

2 years ago

The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

a) The preset value equation is given by this formula:

$P=\int^{T}_{0}f(t)e^{-rt}dt$

where:

T is the period in years (T = 10 years)
r is the annual interest rate (r=0.08)

So we have:

$P=\int^{T}_{0}(0.01t+100)e^{-rt}dt$

Now we just need to solve this integral.

$P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt$

$P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}$

$P=0.30+688.34=688.64 $$

The present value is 688.64 $

b) The accumulated amount of money flow formula is:

$A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt$

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

$A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P$

$A=e^{0.08\cdot 10}688.64=1532.60 $$

The accumulated amount is 1532.60 $

Have a nice day!

6 0

3 years ago

a square flower garden in Samantha's backyard has an area of 100 square feet how much fencing will she need to enclose the flowe

Arlecino [84]

If Samantha's backyard has an area of 100 square feet, and you need to know how much fencing to enclose the garden, you know you are looking for the parameter of the garden. To fine the parameter you have to know the length of the sides. Area of a square is length times width and length and width are the same value. So what you know the square-root of 100 is the value of each side. So each side of the garden is 10 feet long. To find parameter all you do is add up all four sides. 10+10+10+10 = 40 feet need to enclose the flower garden.

5 0

4 years ago

Eva has some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she have in her wall

jek_recluse [69]

Answer:

Step-by-step explanation:

62.17

6 0

3 years ago