Match each function with its range.

The surface area of the square based pyramid is 61.25 centimetre square

surface area of the pyramid = A + 1 /2 ps

where

A = area of the base

p = perimeter of the base

s = slant height

Therefore,

A = 3.5² = 12.25 cm²

p = 4(3.5) = 14 cm

s = 7 cm

Therefore,

surface area of the pyramid = 12.25 + 1 /2 × 14 × 7

surface area of the pyramid = 61.25 cm²

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Answer: 128°

Step-by-step explanation:

   There are 360° in a trapezoid. Since this is a right trapezoid, two of those angles will be equal to 90°. We will set up the following equation, and solve.

360° = 90° + 90° + 52° + x°

360° = 90° + 90° + 52° + x°

360° = 232° + x°

128° = x

x = 128°

   The obtuse angle has a measure of 128°.

The values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively

The function is given as:

y = (x +3)(x - 2)

When x = 1, we have:

y = (1 +3)(1 - 2)

y = -4

When x = 2, we have:

y = (2 +3)(2 - 2)

y = 0

Hence, the values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively

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Using the z-distribution, it is found that the margin of error for the true proportion of times this die would land on five dots is of 0.1338.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate and the sample size are given as follows:

[tex]\pi = \frac{25}{30} = 0.8333, n = 30[/tex].

Hence the margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.8333(0.1667)}{30}}[/tex]

M = 0.1338.

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Once he passes his friends, The miles Josiah has left to run would be 10.95 miles.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Josiah is running a marathon which is 26 1/5 miles long.

At four 1/4 miles from the start, he meets his wife, who is cheering him on.

7 1/2 miles further down the marathon course.

26 1/5 = 131/ 5

7 1/2 = 15/2

The marathon run by Josiah

= 1/4 + 15/2

= 15.25

The miles Josiah has left to run

= 131/ 5 - 15.25

= 10.95

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Answer:

6:09

Step-by-step explanation:

6:09 is one minute after 6:08

Answer:

$5×30days= $150 for the whole month

Answer: $90 saved

Step-by-step explanation:

8 - 5 = $3 dollars saved each day

Multiply daily amount saved by number of days

$3 × 30 = $90 saved

Answer:

32

Step-by-step explanation:

7×18+2×18=32

x=14

y=18

Have a great day!

Answer:

#9 is 6 #10 is 1 #11 is 7 #12 is 6

Step-by-step explanation:

4. If v = -2i - 7j, then its magnitude is

||v|| = √((-2)² + (-7)²) = √53

and the unit vector in the direction of v is

[tex]\dfrac{v}{\|v\|} = \boxed{-\dfrac2{\sqrt{53}} \, \vec\imath - \dfrac7{\sqrt{53}} \, \vec\jmath}[/tex]

5. Given u = i + 2j and v = -i + 5j, we have

u • v = (i + 2j) • (-i + 5j) = -(i • i) - 2 (j • i) + 5 (i • j) + 10 (j • j)

Since i and j are orthogonal unit vectors, we have i • i = j • j = 1 and i • j = 0, so the product reduces to

u • v = -1 - 0 + 0 + 10 = 9

Answer:

a) 20

Step-by-step explanation:

90 - 46 = 44

44 - 4 = 40

40/2 = 20

Answer:

[tex]4649 \div 39 = 119.205128295[/tex]

Step-by-step explanation:

I hope it's help u

Answer:

119 R 8

Step-by-step explanation:

convert 4649 to tens place, write 1

46 - 39 = 7

drop the 4 in the tens place, write 1

74 - 39 = 35

drop the 9 in the ones place, write 9

359 - 351 = 8

• For each time we got 39 or another number, we wrote the multiple of that number we used to get the result.

• We got the remainder by the general subtraction.

[tex] \frac{20}{3} [/tex]

[tex] \frac {20}{3} [/tex] as a mixed number.

First, divide the numerator by the denominator.

[tex]20 \div 3 [/tex]

[tex] = 6 \: R2[/tex]

Then, write the whole number value and use the remainder as the numerator over the denominator. As we all know the denominator won't change.

[tex]\large\boxed{\sf{= 6 \frac{2}{3}}}[/tex]

Answer:

8.6

Step-by-step explanation:

If we know 10% of a number is 4.3, we can easily find 20% of the number as well.

We know 20% is 2 times 10%.

Therefore,

Answer:

1st choice : 706.5 square inches

Step-by-step explanation:

circumference is pi times diameter

divide 94.2 by pi to get diameter = 29.9847912785

diameter 29.9847912785 divided by 2 is

14.9923956393 which is the radius

area is pi times radius times radius again

pi times 14.9923956393 times 14.9923956393 =

706.141834613

Answer:

180 in^2

Step-by-step explanation:

S=(1/2)lP + B

B = 10x10 = 100

P = 10(4) = 40

l is 4, but you could also use the fact that each triangular side is A=(1/2)bh.

(1/2)4 x 10 = 20

20(4) = 80

add 100 + 80 = 180

Answer:

A =281 ft^2

Step-by-step explanation:

A=2πrh+2πr^2

A = 2 (3.14) (4)(5) + 2 (3.14) (5)^2

A =281 ft^2

Answer:

answer = 90

Step-by-step explanation:

General equation:  a = k*b^2

Specifically:          10 = k*(3)^2 = 9 k

Solving for k:  k = 10/9

Then a = (10/9)b^2.    If b = 9, then a = (10/9)(9)^2 = 90 (answer)

Answer:

Area = 3430

Step-by-step explanation:

Graphing y = 28x - x^2 with it's limit interval (0<x<28). They ask for four sub-interval of LRAM.

Divide the base of 28 into 4 equal rectangles.

Area = (Base * Height) + (Base * Height) + (Base * Height) + (Base * Height)

Area = (0 * 7) + (147 * 7) + (196 * 7) + (147 * 7)

Area = 3430

Answer:

600 inches or 50 feet

Step-by-step explanation:

Scale factor = model car : actual car = 1 : 300

We have a 2 inch model car.

AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

Note, the figure is a parallelogram

Some properties of a parallelogram are:

if sides AB = DC, then AB is parallel to CD because they are opposite to each other and opposite sides of a parallelogram are parallel.

Hence, AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

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Answer:

39

Step-by-step explanation:

[tex]\sqrt{100-36}+32-1\\\sqrt{64}+31\\8+31\\39[/tex]

Hey there!

√(100 – 36) + 32 – 1

= √(64) + 32 - 1

= 8 + 32 – 1

= 40 – 1

= 39

Therefore, the answer should be: 39

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Hey there!

EQUATION:

6ac^2

ASSUMING:

= 6(2)(3)^2

SOLVING:

= 6(2)(3^2)

= 12(3^2)

= 12(3 * 3)

= 12(9)

= 108

Therefore, the answer should be: 108

Good luck on assignment & enjoy your day!

~Amphitrite1040:)

Answer:

408.40704

Step-by-step explanation:

If there is 15% off and the sales tax rate is 8.25%. Then the price of the car will be $ 8,189.11.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%.

The cost after 15% off will be

→ 0.85 × $8,900

→ $ 7,565

Then the final cost after the sale tax of 8.25% will be

Cost = $ 7,565 × 1.0825

Cost = $ 8,189.11

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Answer:

2,48,000

Step-by-step explanation: