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cupoosta [38]
3 years ago
15

8×(30+2)=(8×_)+(8×2)

Mathematics
2 answers:
irinina [24]3 years ago
6 0
Using the distributive property, a(b+ c) = ab + ac. In this case, b is 30, so the blank is 30.
ioda3 years ago
3 0
<span>8×(30+2)=(8×_)+(8×2)

8 </span>× (32) = (8×_) + (16)
256 = (8×_) + 16
240 = 8×_

30 = _
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Please help ASAP!!! I will mark the Brainliest!!
Svetlanka [38]
To answer this question, you need to know that a scale factor is the relationship between one dimension of the shape.  

Because the information given to us is a two-dimensional measurement, you will need to consider that when getting the answer.

The ratios of the areas of the  triangles is 3/5 x 3/5 or 9/25.

To determine the area of the larger triangle, you will solve the following equation using the information you know.  x is the area of the larger triangle.

9/25x = 576; solve for x by dividing both sides by 9/25
x = 1600 square inches

The area of the larger triangle is 1600 square inches.
6 0
3 years ago
Write the equation of the trigonometric graph.
prisoha [69]

Answer:

f(x)= \sin(6x)+3

Step-by-step explanation:

The parent function of this graph is:  y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

f(x) = \sf A \sin (B(x + C)) + D

  • A = amplitude (height from the mid-line to the peak)
  • 2π/B = period (horizontal distance between consecutive peaks)
  • C = phase shift (horizontal shift - positive is to the left)
  • D = vertical shift

The parent function y = sin(x) has the following:

  • Amplitude (A) = 1
  • Period = 2π
  • Phase shift (C) = 0
  • Vertical shift (D) = 0
  • Mid-line:  y = 0

From inspection of the given graph:

  • Amplitude (A) = 1
  • \sf Period=\dfrac{\pi}{12}-\dfrac{-\pi}{4}=\dfrac{\pi}{3}
  • Phase shift (C) = 0
  • Vertical shift (D) = +3  (as mid-line is y = 3)

\sf If\:Period=\dfrac{\pi}{3} \implies \dfrac{2 \pi}{B}=\dfrac{\pi}{3}\implies B=6

Substituting the values into the standard form:

\implies f(x) =1 \sin (6(x + 0)) + 3

\implies f(x) = \sin (6x) + 3

Therefore, the equation of the given trigonometric graph is:

f(x)= \sin(6x)+3

6 0
2 years ago
Which of the following points might be on the graph of f(x)
BaLLatris [955]
Where’s the equation
8 0
3 years ago
I WILL GIVE BRAINLIEST!
Illusion [34]

Answer:

24 ft cubed

Step-by-step explanation:

The volume of a rectangular prism is denoted by the formula: V=lwh , where l is the length, w is the width, and h is the height.

Looking at the diagram, we can see that the length is 2 ft (so l = 2), the width is 4 ft (so w = 4), and the height is 3 ft (so h = 3). Now, we can just plug in these values to find V, the volume:

V=lwh

V=2*4*3=24

Thus, the answer is 24 ft cubed.

Hope this helps!

7 0
3 years ago
Read 2 more answers
The value of which of these expressions is closest to e?
mars1129 [50]

Answer:

B.

Step-by-step explanation:

Given: expressions

To find: the expression whose value is closest to e

Solution:

Value of e is 2.718

\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656

Therefore, value 2.659 is closest to the value of e.

So, option B. is correct.

7 0
3 years ago
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