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3 years ago

9

In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3

m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this sculpture.

1 answer:

Tanzania [10]3 years ago

7 0

Answer:

47.65 ice

Step-by-step explanation:

Hope this helps :)

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On the road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. W

Oksana_A [137]

Equation

A = (b1 + b2)*h /2

Givens

b1 = 5 feet

b2 = 7 feet

h = 3 feet

Sub and solve

Area = (5 + 7)*3/2

Area = 12*3/2

Area = 36/2

Area = 18 Square feet.

7 0

3 years ago

write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0

2 years ago

What is the answer to y=2•2^x

KATRIN_1 [288]

Answer:

y=4^x

Step-by-step explanation:

7 0

3 years ago

-3х + 2y = 56<br> -5x- 2y = 24<br><br> X=<br> Y=

Ket [755]

Answer:

x = -10

y = 13

Step-by-step explanation:

-3x + 2y = 56

-5x - 2y = 24

__________ +

-8x____ = 80

x______= 80/-8

______x = -10

-3x + 2y = 56

-3(-10) + 2y = 56

30 + 2y = 56

2y = 56 - 30

2y = 26

y = 26/2

y = 13

5 0

4 years ago

What is the value of the expression below when z = 4?<br> 10z - 3

sergey [27]

Answer:

Your correct answer is 37

Step-by-step explanation:

Evaluate for z = 4

(10)(4)−3

(10)(4)−3

= 37

7 0

4 years ago