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alexgriva [62]
4 years ago
13

What is the simplest form of the expression?

Mathematics
1 answer:
Rina8888 [55]4 years ago
3 0
^ 3 sqrt 750 + ^ 3 sqrt 2058 - ^ 3 sqrt 48
 Rewriting the expression we have
 ^ 3 sqrt (6 * x ^ 3) + ^ 3 sqrt (6 * y ^ 3) - ^ 3 sqrt (6 * z ^ 3)
 That is, we have the following equations:
 6 * x ^ 3 = 750
 6 * y ^ 3 = 2058
 6 * z ^ 3 = 48
 Clearing x, y and z we have:
 x = 5
 y = 7
 z = 2
 Then, rewriting the expression
 x (^ 3 sqrt (6)) + y (^ 3 sqrt (6)) - z (^ 3 sqrt (6))
 Substituting the values
 5 (^ 3 sqrt (6)) + 7 (^ 3 sqrt (6 *)) - 2 (^ 3 sqrt (6))
 10 (^ 3 sqrt (6))
 answer
 the simple form of the expression is
 D) 10 ^ 3 sqrt 6
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Find the Value of the letter in the following questions. Give your answers to 3 s.f.
Elis [28]

Answer:

i = 75.7°

h = 48.2°

Step-by-step explanation:

==>To find i, use the sine rule for finding angles: sin(A)/a = sin(B)/b

Where,

a = 7.2cm

sin(A) = i

b = 6.5cm

sin(B) = sin(61) = 0.8746

Thus:

sin(A)/7.2 = 0.8746/6.5

Multiply both sides by 7.2

sin(A) = (0.8746*7.2)/6.5

sin(A) = 0.969 (3 s.f)

A = i° = sin^-1(0.969) = 75.7 (3 s.f)

==>To find h, use the Cosine rule for angles:

Cos(C) = (a²+b²-c²)/2ab

cos(C) = h°, a = 4, b = 4.5, c = 3.5

a² = 16

b² = 20.25

c² = 12.25

cos(C) = (16+20.25-12.25)/(2*4*4.5)

cos(C) = 24/36

cos(C) = 0.667 (3 s.f)

C = h° = cos^-1(0.667) = 48.2° (3 s.f)

4 0
3 years ago
Andres went out to a restaurant for dinner. His total bill before tax and tip was $27.30. He was charged an additional 9% tax an
Fofino [41]

Answer:

$25.66

Step-by-step explanation:

Given data

Total Bill before tax and tip= $27.30

Tax= 9%

Tip= 15%

Let us find the tax

=9/100*27.30

=0.09*27.30

=$2.457

Let us find the tip

=15/100*27.30

=0.15*27.30

=$4.095

Therefore his bill after tax and tip is

=27.30+2.457-4.095

=$25.66

4 0
3 years ago
Mrs. Cashmore bought a large melon. She cut a piece that weighed 1 1/8 pounds and gave it to her neighbor. The remaining piece o
lina2011 [118]

Answer: 1⁷/₈ pounds

Step-by-step explanation:

The weight of the whole melon is the sum of the 1¹/₈ pounds given to the neighbor and the 6/8 pounds remaining.

Convert improper to proper:

1¹/₈  = 9/8

= 9/8 + 6/8

= 15/8

= 1⁷/₈ pounds

7 0
3 years ago
Determine whether each function represents exponential growth or decay. Select the correct option for each function. PLEASE HELP
Varvara68 [4.7K]

Answer: f(x)= (3/4)^x/2 —> Decay

f(x)=(4/3)^x —> Growth

f(x)=(5/6)^3x —> Decay

f(x)=(8/3)^x/3 —> Growth

f(x)=(3/2)^2x —> Growth

Step-by-step explanation: When you graph them one by one, for example, the first equation (f(x)= (3/4)^x/2), the graph would have an asymptote on the right side, meaning that it’s decaying.

Straight up explanation: if the asymptote on the graph is on the left then it is growing, but if the asymptote is on the right then it’s decaying.

Asymptote is the “line” that almost touches the x axis.

6 0
3 years ago
Oak street and elm street run parallel to each other. when main street intersects them, it forms interior < 4, measuring 50.
Nezavi [6.7K]

Answer:

D

Step-by-step explanation:

They are corresponding angles hence making them the same. Sorry if I'm wrong.

6 0
3 years ago
Read 2 more answers
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