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Kazeer [188]
4 years ago
5

Help me with the question in the pic please and thank u!

Mathematics
1 answer:
Zepler [3.9K]4 years ago
7 0

Answer:

1.98

Step-by-step explanation:

In this problem, we are:

Given: ∠D = 26°, Hypotenuse (DF) = 4.5

To solve: EF

Now through the given, we are to focus on point D to solve for EF.

We need to find the relationship of point D to DF and EF.

The relationship here is sine.

Reason: \frac{opposite}{hypotenuse}

Through point D, DF is the hypotenuse and EF is the opposite side.

So let's solve this simply through algebra,

sin = \frac{opposite}{hypotenuse}

sin(26°) = \frac{EF}{4.5}

0.44 = \frac{EF}{4.5}

0.44 × 4.5 = EF

1.98 = EF

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astraxan [27]
Your average rate of change for the interval is 3/2 or 1.5, so that should be your answer.
6 0
3 years ago
A line has a slope of 10 and includes the points (3, n) and (4,0). What is the value of n?<br> n =
ExtremeBDS [4]

Answer:

The value of n = -10  

Step-by-step explanation:

Given the points

  • (3, n)
  • (4,0)

Finding the slope between (3, n) and (4,0)

\left(x_1,\:y_1\right)=\left(3,\:n\right),\:\left(x_2,\:y_2\right)=\left(4,\:0\right)

As slope = 10

using the formula

Slope  =  [y₂ - y₁] /  [x₂ - x₁]

so substituting the values

      10   =  [0 - n] / [4 - 3]

      10   = -n / 1

     10 = -n

     n = -10    

Therefore, the value of n = -10  

8 0
3 years ago
If f(3) = 3(x+5+2, what is f(a+ 2)?
Mamont248 [21]

Solution:

f(3) = 3(x + 5 + 2)

f(3) = 3(3 + 5 + 2)

f(3) = 3(10)

f(3) = 30

Substitute 30 for a:

f(30 + 2)

f(32)

Best of Luck!

8 0
4 years ago
How to add and subtract scientific notation
ch4aika [34]
Once the numbers have the same base and exponents, we can add or subtract their coefficients.Here are the steps to adding or subtracting numbers in scientific notation:Determine the number by which to increase the smaller exponent by so it is to the equal larger exponent
3 0
4 years ago
You accept a new job with a starting salary of $47,000. You receive a 4% raise at the start of your second year, a 5.6% raise at
Sunny_sXe [5.5K]

Answer:

1yr  47,000, 2nd yr  48,880, 3rd yr   51,617.28, 4th yr  57,346.7981 or 57,346.80

Step-by-step explanation:

1yr        47,000

2nd yr  47,000 x 4% = 48,880

3rd yr   48,880 x 5.6% = 51,617.28

4th yr   51,617.28 x 11.1% = 57,346.7981 or 57,346.80

4 0
3 years ago
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