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2 years ago

Find the measure of the numbered angle in rhombus abcd

Mathematics

1 answer:

lora16 [44]2 years ago

6 0

Answer:

see below :)

M1=90°

M2=53°

M3=53°

M4=37°

Hope this helps:D

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Moe painted the lid of a barrel. The circumference of the lid is 32 pi( pie) inches. Which measurement is closest to the area of

JulijaS [17]

Answer:

Area of lid = 804.35 square inches.

Step-by-step explanation:

Given the following data;

Circumference of lid = 32π inches

To find the area of the lid;

First of all, we would find the radius of the lid (circle).

Circumference of circle = 2πr

Substituting into the formula, we have;

32π = 2πr

Radius, r = 32π/2π

Radius, r = 16 inches.

Now, we can solve for the area of the circle using the formula;

Area of circle = πr²

Area of lid = 3.142*16²

Area of lid = 3.142 * 256

Area of lid = 804.35 square inches.

In terms of pie, area of lid = 256π square inches.

Therefore, the measurement which is closest to the area of the lid in square inches is 804.35 or 256π.

6 0

3 years ago

Alexander needs to collect at least 120 cans for a food drive to urban community service credit he has already collected 64 item

Ahat [919]

Answer:

120-64=56

Step-by-step explanation:

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B1%7D%7B2%7D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%20%5Cfrac%7B1%7D%7B2%7D%20ab

Zigmanuir [339]

Answer:

$\frac{1}{2}$ (a + 2b)(a - b)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

$\frac{1}{2}$ a² + $\frac{1}{2}$ ab - b² ← factor out $\frac{1}{2}$ from each term

= $\frac{1}{2}$ (a² + ab - 2b²) ← factor the quadratic

Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)

The factors are + 2 and - 1, since

2 × - 1 = - 2 and 2 - 1 = + 1, thus

a² + ab - 2b² = (a + 2b)(a - b) and

$\frac{1}{2}$ a² + $\frac{1}{2}$ ab - b² = $\frac{1}{2}$ (a + 2b)(a - b)

5 0

3 years ago

The triangular pyramid shown is made up of four congruent triangles. The length of the base is 8 inches, and the height of the b

Aneli [31]

Answer:

(B) Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9))

Step-by-step explanation:

Base of the Pyramid = 8 Inches

Height of the Triangular Face = 6.9 Inches

In any solid shape, the Lateral surface area is the sum of all sides except its top and bottom bases.

Since the four triangles are congruent:

Lateral Surface Area = 4 X Area of One Triangle

Area of a Triangle = $\frac{1}{2}$ X Base X Height$

Area of one Triangular Face $= \dfrac{1}{2}(8)(6.9)$

Therefore:

Lateral Surface Area $= 4\left(\dfrac{1}{2}(8)(6.9)\right)$

Therefore, Talia is correct.

8 0

3 years ago

I NEED HELP PLEASE, THANKS! :)

eduard

Answer:

2444

Step-by-step explanation:

The total cost is the integral of the marginal cost.

$\displaystyle C=\int_{144}^{625}{\dfrac{94}{\sqrt{x}}}\,dx=\left. 2\cdot 94\sqrt{x}\right|_{144}^{625}=188(25 -12)=\boxed{2444}$

The total cost of producing units 144 through 625 is 2444.

_____

If all you need is a number, a graphing calculator can give you that.

8 0

3 years ago