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3 years ago

Find the area of the shaded region. Round to the nearest tenth if necessary

Mathematics

1 answer:

Cloud [144]3 years ago

4 0

Area of the whole rectangle = 13 x 7 = 91 cm²

Area of the 2 unshaded area = (4 x 3) + (2 x 1) = 14 cm²

Area of the shaded area = 91 - 14 = 77 cm²

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Answer: Area of the shaded area = 77 cm²
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If A = {1, 2, 3} and B = {1, 2, 2, 3}, is B ⊆ A? If so, is A = B?

Serjik [45]

Answer:

yes, yes

Step-by-step explanation:

B={1,2,3} it doesn't matter if it has ten 2's or one!

so A=B and A⊆B

4 0

3 years ago

A teenager who is 5 feet tall throws an object into the air. The quadratic function LaTeX: f\left(x\right)=-16x^2+64x+5f ( x ) =

tia_tia [17]

Answer:

At approximately x = 0.08 and x = 3.92.

Step-by-step explanation:

The height of the ball is modeled by the function:

$f(x)=-16x^2+64x+5$

Where f(x) is the height after x seconds.

We want to determine the time(s) when the ball is 10 feet in the air.

Therefore, we will set the function equal to 10 and solve for x:

$10=-16x^2+64x+5$

Subtracting 10 from both sides:

$-16x^2+64x-5=0$

For simplicity, divide both sides by -1:

$16x^2-64x+5=0$

We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Substitute:

$\displaystyle x=\frac{-(-64)\pm\sqrt{(-64)^2-4(16)(5)}}{2(16)}$

Evaluate:

$\displaystyle x=\frac{64\pm\sqrt{3776}}{32}$

Simplify the square root:

$\sqrt{3776}=\sqrt{64\cdot 59}=8\sqrt{59}$

Therefore:

$\displaystyle x=\frac{64\pm8\sqrt{59}}{32}$

Simplify:

$\displaystyle x=\frac{8\pm\sqrt{59}}{4}$

Approximate:

$\displaystyle x=\frac{8+\sqrt{59}}{4}\approx 3.92\text{ and } x=\frac{8-\sqrt{59}}{4}\approx0.08$

Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.

7 0

2 years ago

Joy Wigens, who works at Putnam Investments, received a check for $2,670. She deposited 1/3 of the check in her Citibank account

spin [16.1K]

Answer: $1,780

Step-by-step explanation:

Joy Wigens deposited 1/3 of the check of $2,670 that she received in her Citibank account.

The amount she deposited in her Citibank account was:

= 1/3 * 2,670

= $890

The amount she is left with after this deposit will therefore be:

= Check amount - deposit at Citibank

= 2,670 - 890

= $1,780

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2 years ago

10/24 and 5/12 what are the porportions

anyanavicka [17]

4 and 2 are the porportions

3 0

3 years ago

Read 2 more answers

A government buys `x`fighter planes at `z` dollars each, and `y` tons of wheat at w dollars each. It spends a total of `B`dollar

Veronika [31]

The equation whose solution is the given quantity is 90,000,000 = 2,000,000w + 15,000w where w = $44.67

<h3>Equation</h3>

B = xz + yw

Where,

B = Total cost = 90
x = number of fighter plane = 20
y = tons of wheat = 15,000
w = cost of each tons of wheat
z = cost of fighter plane
z = 100,000w

B = xz + yw

90,000,000 = (20 × 100,000w) + (15,000 × w)

90,000,000 = 2,000,000w + 15,000w

90,000,000 = 2,015,000w

w = 90,000,000 / 2,015,000

= 44.6650124069478

Approximately,

w = $44.67

Learn more about equation:

brainly.com/question/2972832

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2 years ago