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spin [16.1K]
3 years ago
6

15 POINTS. Find the exact lateral surface area of the triangular prism. Picture included, answer in order to fill in blanks

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0
Hmm, not sure
let me solve to make sure

so the lateral area=4*8+6*8+?*8
the ? is the hyptoonuse
remember
a^2+b^2=c^2
4^2+6^2=c^2
16+36=c^2
52=c^2
sqrt both sides
2√13=c

so

LA=4*8+6*8+8*2√13=
32+48+16√13=
80+16√13

the first blank is 80
2nd is 26
3rd is 13
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What is the perimeter of a rectangle with length 16.8 units and the width 9.6 units
Oxana [17]

Hey there! :) In order to find the perimeter, you must add all 4 sides. You first do 16.8 + 16.8 + 9.6 + 9.6 which is 52.8.

Hope it helps!


5 0
3 years ago
A bricklayer can build a wall of a certain size in 5 hours. Another bricklayer can do the same job in 4 hours. If the bricklayer
Tju [1.3M]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
1. Solve: 6x - 12 &lt; 6<br> 2. Solve: 2(3x-8) &gt;8
8090 [49]

Answer:

Step-by-step explanation:

1. here you go mate

step 1

6x - 12 < 6  equation

step 2

6x - 12 < 6  simplify

6x-12+12<6+12

step 3

6x<18  Divide both sides

\frac{6x}{6}

answer

x<3

2. Here you go mate

step 1

2(3x-8) >8  equation

step 2

2(3x-8) >8  simplify

6x-16+16>8+16

step 3

6x>24  divide both sides

\frac{6x}{6} >\frac{24}{6}

answer

x>4

4 0
3 years ago
You have a 10kg bag of sand. The mass of a grain of sand is about 10 to the -3 power gram. About how many grains of sand are in
schepotkina [342]
N = 10^3 / 10^-3 = 10^6 = 1 million
8 0
4 years ago
Olivia is making chocolate chip pancakes for breakfast. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. When she c
vlada-n [284]

Given:

The recipe calls for 0.5 quart of milk and 2.5 cups of flour.

She has \dfrac{3}{8} quart of milk and \dfrac{18}{8} cups of flour.

To find:

Whether she have the correct amount of milk and flour to make the pancakes from the recipe.

Solution:

Required Milk = 0.5 quart

Milk she has =  \dfrac{3}{8}=0.375 quarts

Clearly, 0.375 < 0.5.

Required Flour = 2.5 cups

Flour she has = \dfrac{18}{8}=2.25 cups

Clearly, 2.25 < 2.5

Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe

7 0
4 years ago
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