Please help: What is the area of this shape?

Answer:

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Step-by-step explanation:

Let

x = $0.85 per pound

y = $2.70 per pound

x + y = 21 (1)

0.85x + 2.70y = 19.95 (2)

From (1)

x = 21 - y

Substitute x = 21 - y into (2)

0.85x + 2.70y = 19.95 (2)

0.85(21 - y) + 2.70y = 19.95

17.85 - 0.85y + 2.70y = 19.95

- 0.85y + 2.70y = 19.95 - 17.85

1.85y = 2.1

y = 2.1 / 1.85

y = 1.14

Substitute y = 1.14 into (2)

0.85x + 2.70y = 19.95

0.85x + 2.70(1.14) = 19.95

0.85x + 3.078 = 19.95

0.85x = 19.95 - 3.078

0.85x = 16.872

x = 16.872 / 0.85

x = 19.85

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

After 20 years, the amount of Money Amelia would have more than Melanie would be $181,551.37.

The formula for calculating future value:

FV = P (1 + r) nm

9800(1 + 0.0125)^80 = 23,983.29

the formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

9800 e^0.0475 x 20 = 205,534.66

Difference = 205,534.66 - 23,983.29 = $181,551.37

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Answer: This is what I get.

Step-by-step explanation:

Answer:

288 in^3

Step-by-step explanation:

1) find the volume of the cube

V = side^3 = 6^3 = 216 in^3

2) find the base surface of the pyramid:

base surface = side^2 = 6^2 = 36 in^2

3) find the height of the pyramid:

height of the solid - height of the cube = 12 - 6 = 6 in

4) find the volume of the pyramid:

V = (base area x height) / 3 = (36 x 6)/3 = 72 in^3

5) add up the two volumes

V = 216 + 72 = 288 in^3

Answer:

118.25

Step-by-step explanation

If the tax is in percent, divide the tax rate by 100. You do this by moving the decimal point two spaces to the left. In this, there's 7.5/100 = 0.0

Find the tax value by multiplying tax rate by the item value:

tax = 110 × 0.075

tax = 8.25

Answer:

138

Step-by-step explanation:

a+b/2xh

Answer:

200.96

Step-by-step explanation:

pi*r^2

Answer:

156

Step-by-step explanation:

Given the data:

Age (X) :

38

41

45

48

51

53

57

61

65

Pressure(Y) :

116

120

123

131

142

145

148

150

152

From the data, we could obtain a regression equation to mod the data Given using a linear regression calculator :

The regression equation obtained is :

y = 1.48769X + 60.46103

Using the model, the predicted blood pressure for a person aged 64 will be :

y = 1.48769(64) + 60.46103

y = 95.21216 + 60.46103

y = 155.67319

y = 156 (nearest whole number)

Answer:

176π [tex]units^{2}[/tex]

Step-by-step explanation:

SA = B + LA  where B is the area of the base (circle) and LA is the lateral area

LA = radius of the circle times the slant height

    = 8π(14) = 112π

B = [tex]8^{2} \pi[/tex] = 64π

SA = 112π + 64π = 176π

The surface area of the right cone is 176π square units.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, cone etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

We are given that;

The surface area of a right cone is given by the formula:

Surface area=πr(r+l)

where r is the radius of the base and l is the slant height of the cone12.

In this case, r=8 and l=14, so we can plug these values into the formula and simplify:

Surface area=π×8(8+14)

Surface area=π×8×22

Surface area=176π

Therefore, the surface area will be 176π square units.

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Answer:

The coordinates of D are -1,0

Step-by-step explanation:

I believe

Answer:

159.69*0.75 = 119.76

Step-by-step explanation:

Cause we have a 25% discount, that means that the skatebord costs 75% of its original price.

The 75% of the original price is the 75/100 part (0.75)

Answer:

45

Step-by-step explanation:

180 - 135 = 45

The measure of angle 2 is 45.

Answer:

[tex]\displaystyle \cos(\alpha+\beta)=\frac{120+8\sqrt{161}}{255}[/tex]

Step-by-step explanation:

We are given the conditions:

[tex]\displaystyle \sin(\alpha)=-\frac{8}{17}\text{ and } \cos(\beta)=-\frac{8}{15}[/tex]

Where α is in QIII and β is in QII and we want to find the exact value of cos(α + β).

The first ratio gives us the opposite side and the hypotenuse with respect to α . Then the adjacent side is (we can ignore negatives):

[tex]a=\sqrt{(17)^2-(8)^2}=15[/tex]

The second ratio gives us the adjacent side and the hypotenuse with respect to β. Then the opposite side is:

[tex]o=\sqrt{(15)^2-(8)^2}=\sqrt{161}[/tex]

Therefore, for α, ignoring negatives, the adjacent side is 15, the opposite side is 8, and the hypotenuse is 17.

And for β, ignoring negatives, the adjacent side is 8, the opposite side is √(161), and the hypotenuse is 15.

We can rewrite our expression as:

[tex]\displaystyle \cos(\alpha+\beta)=\cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)[/tex]

Since α is in QIII, sin(α), cos(α) < 0, and tan(α) > 0.

And since β is in QII, cos(β), tan(β) < 0, and sin(β) > 0.

Using this information, substitute:

[tex]\displaystyle \cos(\alpha+\beta)=\left(-\frac{15}{17}\right)\left(-\frac{8}{15}\right)-\left(-\frac{8}{17}\right)\left(\frac{\sqrt{161}}{15}\right)[/tex]

Therefore:

[tex]\displaystyle \cos(\alpha+\beta)=\frac{120+8\sqrt{161}}{255}[/tex]

Answer:

last one, 4th

i really hope it helps.

Answer:

the answer is B

Step-by-step explanation:

Answer:

A) 6

Step-by-step explanation:

Answer:

2. A) 6

Step-by-step explanation:

#CarryOnLearning

Answer:

4

Step-by-step explanation:

Answer:

Alhaji Shehu Shagari

Step-by-step explanation:

Alhaji Shehu Shagari the first Democratic elected president of Nigeria, He was elected in October 1979. He contested under the The National Party of Nigeria. Prior to that time, Nigeria had been under military rule for more than 13 years.

In December 1983, there was a military coup and he was overthrown.

Answer:

.08cm or 0.08cm

Step-by-step explanation:

First of all, we can see that 20mm is in millimeters, not centimeters.

If we convert the ones in centimeters to millimeters, it will result in decimals, which I want to avoid, but you could also do it that way.

There are 10 mm in 1 cm, so I multiply all of the values in cm by 10.

So now, we have that the volume is 1760mm, the length is 110mm, and the width is 20mm.

The formula for the volume of a cuboid is: [tex]w*l*h = volume[/tex]

We have the width, length, and volume, so let's plug it in.

[tex]20*110*h=1760[/tex]

To solve for h:

1. Multiply 20 and 100

[tex]2200*h=1760[/tex]

2. Divide both sides by 2200

[tex]h = 1760/2200[/tex]

3. Divide right side

h = 0.8

Keep in mind that this is in millimeters. In centimeters, it would be .08

Answer: The answer to this question is A

Answer:

There are 20 odd numbers between 10 and 50

Step-by-step explanation:

Here are all the odd numbers! Hope this helps!

11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49

Answer:

tha answer is c

Step-by-step explanation:

Answer:

All points satisfy the inequality

Step-by-step explanation:

Given

[tex]5x + 2y \le 26[/tex]

Required

Select all points that satisfy the above inequality

[tex](a)\ (0,5)[/tex]

This implies that

[tex]x = 0; y = 5[/tex]

So, we have:

[tex]5x + 2y \le 26[/tex]

[tex]5 * 0 + 2 * 5 \le 26[/tex]

[tex]0 + 10 \le 26[/tex]

[tex]10 \le 26[/tex]

This satisfy the inequality

[tex](b)\ (3,1)[/tex]

This implies that

[tex]x = 3;\ y =1[/tex]

So, we have:

[tex]5x + 2y \le 26[/tex]

[tex]5 * 3 + 2 * 1 \le 26[/tex]

[tex]15 + 2 \le 26[/tex]

[tex]17 \le 26[/tex]

This satisfy the inequality

[tex](c)\ (3,-4)[/tex]

This implies that:

[tex]x = 3; y-4[/tex]

So, we have:

[tex]5x + 2y \le 26[/tex]

[tex]5 * 3 + 2 * -4 \le 26[/tex]

[tex]15 -8 \le 26[/tex]

[tex]7 \le 26[/tex]

This satisfy the inequality

[tex](d)\ (-4,1)[/tex]

This implies that:

[tex]x = -4; y =1[/tex]

So, we have:

[tex]5x + 2y \le 26[/tex]

[tex]5 * -4 + 2 *1 \le 26[/tex]

[tex]-20 + 2 \le 26[/tex]

[tex]-18 \le 26[/tex]

This satisfy the inequality

Answer:

6root3

Step-by-step explanation:

Answer:

6 radical 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the sides of the triangle be a, b and c.

We have:

Substitute values and solve for b:

Find a and c:

The sides are: 7, 9, 13

Answer:

here you go............

Step-by-step explanation:

I hope it helped