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antoniya [11.8K]
2 years ago
10

Which variable expression describes the area of the shaded region in the diagram shown below ?

Mathematics
1 answer:
Mila [183]2 years ago
5 0

Answer: B

Step-by-step explanation:

The area of entire rectangle is (9)(4)=36.

The area of the square inside is x(x)=x^2

Subtracting the areas, we get 36-x^2

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If an orange traffic cone has a diameter of 10 in. and a height of 28 in. what is the volume of the cone?
e-lub [12.9K]

Answer:

\large\boxed{V=\dfrac{700\pi}{3}\ in^3\approx732.67\ in^3}

Step-by-step explanation:

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

<em>r</em><em> - radius</em>

<em>H</em><em> - height</em>

We have the diameter <em>2r = 10in → r = 5in</em>, and the height <em>H = 28in.</em>

Substitute:

V=\dfrac{1}{3}\pi(5^2)(28)=\dfrac{1}{3}\pi(25)(28)=\dfrac{700\pi}{3}\ in^3

\pi\approx3.14\to V\approx\dfrac{(700)(3.14)}{3}\approx732.67\ in^3

7 0
4 years ago
Evaluate the summation of 3 n plus 2, from n equals 1 to 14. 39 49 340 343.
lord [1]

The summation of the considered expression in terms of n from n = 1 to 14 is given by: Option D: 343

<h3>How to find the sum of consecutive integers?</h3>

1 + 2 + 3 + ... + n = \dfrac{n(n+1)}{2}

<h3>
What are the properties of summation?</h3>

\sum_{i=r}^s  (a \times f(i) + b) = a \times [\: \sum_{i=r}^s f(i)] + (s-r)b

where a, b, r, and s are constants, f(i) is function of i, i ranging from r to s (integral assuming).

For the given case, the considered summation can be written symbolically as:

\sum_{n=1}^{14}  (3n + 2)

It is evaluated as;

\sum_{n=1}^{14}  (3n + 2) = 3 \times [ \: \sum_{n=1}^{14} n ] + \sum_{n=1}^{14} 2\\\\\sum_{n=1}^{14}  (3n + 2) = 3 \times \dfrac{(14)(14 + 1)}{2} + (2 + 2 + .. + 2(\text{14 times}))\\\\\sum_{n=1}^{14}  (3n + 2) = 3 \times 105 + 28 = 343\\

Thus, the summation of the considered expression in terms of n from n = 1 to 14 is given by: Option D: 343

Learn more about summation here:

brainly.com/question/14322177

5 0
3 years ago
Janna has 34 pennies. Mandy has 48 pennies. Mandy says they have 72
krok68 [10]

Answer:

Mandy should add the tens before she adds the ones.

Step-by-step explanation:

There are no other good answers and the correct answer is 82 pennies.

3 0
3 years ago
Read 2 more answers
Challenge: The perimeter of a semicircular patio is 35.98 ft. What is its radius? Use 3. 14 for a.
puteri [66]

Answer:

  7 ft

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = 2πr

The curved portion of a semicircle will be ...

  C/2 = (2πr)/2 = πr

The straight portion of the semicircular shape will be the diameter, or 2r. That means the total perimeter of a semicircular shape is ...

  P = πr +2r = r(π+2)

Then the radius is ...

  r = P/(π+2) = (35.98 ft)/(3.14+2) = 7 ft

The radius of the patio is 7 ft.

7 0
2 years ago
Figure ABCD is a kite. Find the<br> value of x.
Dimas [21]

Answer:

x=20

Step-by-step explanation:

(triangle angles must add up to 180º)

2x+10+2x+90=180

4x+100=180

4x=80

x=20

7 0
3 years ago
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