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erma4kov [3.2K]
2 years ago
9

can anyone help me and show work for this Find the length of the third side. If necessary, write in simplest radical form.

Mathematics
1 answer:
tiny-mole [99]2 years ago
5 0

Answer:

Step-by-step explanation:

Use Pythagorean theorem

Hypotenuse² = base² + altitude²

                      = 9² + 10²

                      = 81 + 100

                      = 181

hypotenuse = √181

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The figure is made up of two identical quarter circles and a rectangle. The length of the rectangle is 35 cm and its breadth is
Ymorist [56]

Area of the middle rectangular section = length x width = 35 x 20 = 700 square cm.

The radius of the circular sections is 25 cm

Area of a full circle is pi x r^2 = 3.14 x 25^2 = 1962.5 square cm.

There are two quarter circles which is 1/2 of a circle. The area of those would be 1962.5/2 = 981.25 square cm.

Total area of the figure = 700 + 981.25 = 1681.25 square cm

6 0
3 years ago
Help me with these 3 questions, please
Zina [86]

Answer:

1. x = -4y ---> y = (-1/4)x

slope = -1/4. y-intercept = (0,0)

2. y = -2x + 4

3. y = (1/3)x - 1

Step-by-step explanation:

1. Re-write your equation so that x is on the right and y is on the left:

x = -4y ---> y = (-1/4)x

slope = -1/4. y-intercept = (0,0)

2. y-intercept = (0,4) ----> P1

x-intercrpt = (2,0) ----> P2

slope m = (y2 - y1) / (x2 - x1)

= (0 - 4)/(2 - 0)

= -2

therefore, y - y1 = mx - x1 ---> y - 4 = -2x

or y = -2x + 4

3. y-intercept = (0,-1)

x-intercept = (3,0)

m = (0 - (-1)) / (3 -0) = 1/3

y - (-1) = (1/3)x - 0 ---> y = (1/3)x - 1

5 0
3 years ago
How do you write 6.37 x 10^3 in standard form?
mamaluj [8]

Answer:

6370 is the answer Hope this helps.

4 0
3 years ago
Read 2 more answers
A carpenter is building a unique jewelry box in the shape of a right triangular prism. The base has measurements of 4 inches, 3
BlackZzzverrR [31]
Answer: The carpenter will need 84 square inches of wood.

In this problem we are looking for the surface area of the jewelry box. This box has 5 faces. The two triangles at each end and the 3 rectangle pieces between them.

The sides of the triangles are 3, 4, 5 which always forms a right triangle with legs of 3 and 4. Use the formula for the area of a triangle, we have 3 x 4 / 2 = 6. The area of each triangle is 6 square inches.

Now, the three sides, each one has a height of 6.
3 x 6 = 18
4 x 6 = 24
5 x 6 = 30

If we add all the sides together, we get an area of 84 square inches.
6 + 6 + 18 + 24 + 30 = 84
7 0
3 years ago
Answer this please I need a real answer
Anna11 [10]

Answer:

see explanation

Step-by-step explanation:

(a)

x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides

0 = x² - 2x - 3 ← in standard form

0 = (x - 3)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

-----------------------------------

(b)

\frac{x+2}{3} - \frac{2}{15} = \frac{x-2}{5} ( multiply through by 15 to clear the fractions )

5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides

5x + 10 - 2 = 3x - 6

5x + 8 = 3x - 6 ( subtract 3x from both sides )

2x + 8 = - 6 ( subtract 8 from both sides )

2x = - 14 ( divide both sides by 2 )

x = - 7

--------------------------------------------

(c) Assuming lg means log then using the rules of logarithms

log x^{n} ⇔ nlogx

log x = log y ⇒ x = y

Given

log(2x + 3) = 2logx

log(2x + 3) = log x² , so

x² = 2x + 3 ( subtract 2x + 3 from both sides )

x² - 2x - 3 = 0

(x - 3)(x + 1) = 0

x = 3 , x = - 1

x > 0 then x = 3

6 0
3 years ago
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