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3 years ago

Name the mixed number and the equivalent improper fraction shaded on the ruler. (See the attached )

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

3 0

The mixed number is 2 7/8 and the equivalent improper fraction is 23/24

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The cost of Barbara’s dinner is $15.90 including tax. She leaves a tip that is 18% of the total cost of the dinner. What is the

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$3 is the answer estimated

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3 years ago

a professor must randomly select 4 students to participate in a mock debate. There are 20 students in his class. In how many dif

Feliz [49]

If the order doesn't matter the it's
$C(20,4)=\dfrac{20!}{4!16!}=\dfrac{17\cdot18\cdot19\cdot20}{2\cdot3\cdot4}=4845$

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3 years ago

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The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.

Goryan [66]

Given:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

Length of AD:

The length of AD is given by

$cos 60^{\circ}=\frac{FD}{8}$

$4=FD$

Length of AD = 8 cm

Slant height:

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

$sin \ 60^{\circ}=\frac{EF}{8}$

$sin \ 60^{\circ} \times 8=EF$

$\frac{\sqrt{3}}{2} \times 8=EF$

$4\sqrt{3}=EF$

Thus, the slant height EF is 4√3

Surface area of the square pyramid:

The surface area of the square pyramid can be determined using the formula,

$SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)$

Substituting the values, we have;

$SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})$

$SA=64+\frac{1}{2}(32)(4 \sqrt{3})$

$SA=64+(16)(4 \sqrt{3})$

$SA=64+64 \sqrt{3}$

The exact form of the area of the square pyramid is $64+64 \sqrt{3}$

Substituting √3 = 1.732 in the above expression, we have;

$SA = 64 + 110.848$

$SA = 174.848$

Rounding off to one decimal place, we get;

$SA = 174.8$

Thus, the area of the square pyramid is 174.8 cm²

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3 years ago

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3/4 Tones = __ lb???? HELP ASAP Thank you

Shtirlitz [24]

The answer is 1500 pound because 1 ton = 2,000 pounds. 1/4 of a ton = 500 pounds. So 3/4 tons = 500*3 =1500 pounds.

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3 years ago

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Mr.Chen left $45,000 to his aunt when he died. This was 5% of his total worth. a) how much was Mr.Chen worth when he died? Show

marysya [2.9K]

A) Mr Chen was worth:

45,000/5 = 9,000

9,000 x 100 = 900,000

The answer is 900,00

You can also write this as an equation.

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3 years ago