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Alex_Xolod [135]

3 years ago

5

The moon is about 240,000 miles from earth earth what is the distance written as a whole number multiplied by a power of ten

1 answer:

Varvara68 [4.7K]3 years ago

7 0

<span>This would be 24 X 10⁴</span>

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You make a time capsule with your friends. Find the surface area of the shape pictured. Use 3.14 to approximate pi.

Orlov [11]

Answer: $1,475.8mm^{2}$

Step-by-step explanation:

1. If you join the top part and the bottom part of the figure, you obtain a sphere. Then, you must apply the formula for calculate the surface area of a sphere:

$SA_s=4r^{2}(3.14)$

Where r is the radius ( $r=\frac{10mm}{2}=5mm$ )

2. Then:

$SA_s=4(5mm)^{2}(3.14)=314mm^{2}$

3. The formula for calculate the suface area of the red part, which is a cylinder, is:

$SA_c=2(3.14)(r)(h)$

Where h is the height (h=32mm)

4. Then:

$SA_c=2(3.14)(5mm)(32mm)=1,004.8mm^{2}$

5. So, the total surface area is:

$SA_t=314mm^{2}+1,004.8mm^{2}=1,318.8mm^{2}$

6 0

3 years ago

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N

ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

$R =(5,5)$

$S= (2,1)$

$T = (1,3)$

LMN

$L = (0,-1)$

$M= (2,-4)$

$N= (-2,-3)$

Required

Compare both areas

The area of triangle is:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

For RST, we have:

$Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|$

$Area = \frac{1}{2}|-10|$

Remove absolute signs

$Area = \frac{1}{2}*10$

$Area = 10$

For LMN, we have:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

$Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|$

$Area = \frac{1}{2}|-14|$

Remove absolute signs

$Area = \frac{1}{2}*14$

$Area = 7$

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0

3 years ago

I need help remember taking the square root of a number is the inverse/opposite of squaring number

kirill [66]

X will equal 4 because 4^2=4*4 which equals 16

8 0

3 years ago

If a: b= 3:4 then find the value of<br>(6a-3b :(5a + 2b)

KengaRu [80]

Answer:

6 : 23

Step-by-step explanation:

$a : b = 3 : 4 ....(given)\\ \\ let \: a = 3x \\ b = 4x \\ \\ (6a - 3b) : (5a + 2b) \\ \\ = \frac{(6a - 3b)}{(5a + 2b)} \\ \\ = \frac{6(3x) - 3(4x)}{5(3x) + 2(4x)} \\ \\ = \frac{18x- 12x}{15x+ 8x} \\ \\ = \frac{6x}{23x} \\ \\ = \frac{6}{23} \\ \\ (6a - 3b) : (5a + 2b) = 6 : 23$

7 0

3 years ago

Find the quotient and remainder for 52 divided by 8

leva [86]

52/8 is 6.5 on a calculator, hope this helps

6 0

3 years ago