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babymother [125]

3 years ago

7

A crew oh high way workers paved 2/15 miles in 1/3 of an hour. If they work at the same rate, what portion of a mile will they p

ave in one hour

1 answer:

shtirl [24]3 years ago

7 0

Answer:

6/15 or .4

Step-by-step explanation:

2/15 times 3

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Here is a triangular pyramid and its net.

bazaltina [42]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

3 0

3 years ago

Question in the image below:

horrorfan [7]

Answer:

x = 5/33 or 0.151515151

Step-by-step explanation:

7(-6x-2) = 8(3x-4)

step 1: simplify the equation.

-42x - 14 = 24x - 4

step 2: isolate the variable (using the balance method).

-42x - 14 + 14 = 24x - 4 + 14

-42x = 24x + 10

-42x - 24x = 24x - 24x + 10

-66x = 10

step 3: solve for x.

x = 10 ÷ -66

x = 5/33

4 0

3 years ago

Which of the following expressions is equivalent to the expression 2(7x+3)

alexandr1967 [171]

First you got to multiply 2x7=14x then multiply again 2x3=6 so the answer to the equation will be 2(7x+3)=(14x+6)

7 0

3 years ago

velikii [3]

80 square units
Divide the figure into 4 small triangles, 2 rectangles, and one big rectangle on the center.

Area of ONE small triangle:
1/2 • 2 • 2 = 2 square units
Multiply that by 4 because we have 4 small triangles: 2 • 4 = 8 square units

Area of ONE small rectangle:
2 • 6 = 12 square units
Multiply that by 2 bcos we have 2 of those rectangles: 12 • 2 = 24 square units

Area of the big rectangle on the center:
6 • 8 = 48 square units

ADD the area of the big rectangle, 4 small triangles, and 2 small rectangles:
48 + 24 + 8 = 80

FINAL ANSWER: 80 square units

BRAINLIEST WILL BE APPRECIATED IF I GOT THIS RIGHT (pls comment me back if my answer was correct)
Have a nice day -SpaceMarsh

5 0

3 years ago

A youth group earns $600 for charity and decides to put it in a bank. Calculate the amount of money the group will have for each

igomit [66]

Based on the types of compounding and the interest rates, the following are true:

Part A - The group will have $750
Part B - The group will have $759.19

When using simple interest, the amount the group will have is:

<em>= Amount x ( 1 + rate x number of years )</em>

= 600 x ( 1 + 5% x 5)

= $750

When using compound interest, the group will have:

<em>= Amount x ( 1 + rate) ^ Number of years</em>

= 600 x ( 1 + 4%)⁶

= $759.19

In conclusion, compound interest yields more.

<em>Find out more about </em><em>compound interest </em><em>at brainly.com/question/25263325. </em>

4 0

2 years ago