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Taya2010 [7]
2 years ago
7

Please help. quickly if possible

Mathematics
2 answers:
Mariulka [41]2 years ago
8 0
C

7x18 divided by 2 equals 63
18x22=396
63+396=459
Kay [80]2 years ago
3 0

Answer:

C  459cm2

Step-by-step explanation:

You multiply the area of the square first and add that to the area of the two right triangles.

<u>Area of the square</u> - Bh = 22(18) = 396

<u>Area of ONE right triangle</u> - 1/2bh    h = 7    b = the base of the triangle

Look at the bottom of the square (18 cm) and divide that by two to get the base of the triangle

1/2(9)(7) = 31.5

<u>Area of BOTH right triangles </u>- 31.5(2) = 63

<u>Total Area</u> - Then you add 396 to 63 and you get 459 cm2, or C, which is the answer

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The police department uses a formula to determine the
laiz [17]

9514 1404 393

Answer:

  78.71 mph

Step-by-step explanation:

You're looking for the solution to ...

  d = 88

  0.0015r^2 +r = 88

  0.0015r^2 +r -88 = 0

Using the quadratic formula*, we find ...

  r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)

  r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077

The speed of the car was about 78.71 mph.

_____

* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.

8 0
2 years ago
a cylinder with base are 169π ft^2 and a height twice the radius. what is the lateral area and surface area of the cylinder
Morgarella [4.7K]
Area\ of\ base:A_B=169\pi\ ft^2\\\\A_B=\pi r^2\ \ \ (r-radius)\\\\\pi r^2=169\pi\ \ \ /:\pi\\\\r^2=169\\\\r=\sqrt{169}\\\\r=13\ (ft)\\\\H=2r\to H=2\cdot13=26\ (ft)

&#10;lateral\ area:A_L=2\pi rH\\\\A_L=2\pi\cdot13\cdot26=676\pi\ (ft^2)\\\\Surface\ area:A_S=2A_B+A_L\\\\A_S=2\cdot169\pi+676\pi=338\pi+676\pi=1014\pi\ (ft^2)
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3 years ago
Read 2 more answers
A cone has a radius of 4 units and a height of 6 units.
Usimov [2.4K]
We know, Volume of a Cylinder = πr² h/3
v = 3.14 * 4² * 6/3
v = 3.14 * 16 * 2
v = 100.48 

In short, Your Answer would be Option B

Hope this helps!
7 0
3 years ago
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Find the linear approximation of the function g(x) = 3 root 1 + x at a = 0. g(x). Use it to approximate the numbers 3 root 0.95
Virty [35]

Answer:

L(x)=1+\dfrac{1}{3}x

\sqrt[3]{0.95} \approx 0.9833

\sqrt[3]{1.1} \approx 1.0333

Step-by-step explanation:

Given the function: g(x)=\sqrt[3]{1+x}

We are to determine the linear approximation of the function g(x) at a = 0.

Linear Approximating Polynomial,L(x)=f(a)+f'(a)(x-a)

a=0

g(0)=\sqrt[3]{1+0}=1

g'(x)=\frac{1}{3}(1+x)^{-2/3} \\g'(0)=\frac{1}{3}(1+0)^{-2/3}=\frac{1}{3}

Therefore:

L(x)=1+\frac{1}{3}(x-0)\\\\$The linear approximating polynomial of g(x) is:$\\\\L(x)=1+\dfrac{1}{3}x

(b)\sqrt[3]{0.95}= \sqrt[3]{1-0.05}

When x = - 0.05

L(-0.05)=1+\dfrac{1}{3}(-0.05)=0.9833

\sqrt[3]{0.95} \approx 0.9833

(c)

(b)\sqrt[3]{1.1}= \sqrt[3]{1+0.1}

When x = 0.1

L(1.1)=1+\dfrac{1}{3}(0.1)=1.0333

\sqrt[3]{1.1} \approx 1.0333

7 0
3 years ago
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Tamiku [17]

Option C: 90° is the value of x.

Explanation:

The given expression is 4+2 \sin x=14-8 \sin x for 0^{\circ} \leq x \leq 180^{\circ}

We need to solve the expression.

Thus, we have,

4+2 \sin x=14-8 \sin x

Subtracting both sides by 4, we have,

2 \sin x=10-8 \sin x

Adding both sides by 8 sin x, we get,

10 \sin x=10

Dividing both sides by 10, we have,

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x=sin^{-1}(1)

x=90^{\circ}

Thus, the value of x is 90°

Hence, Option C is the correct answer.

4 0
3 years ago
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