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Maurinko [17]
3 years ago
6

In ΔDEF, the measure of ∠F=90°, the measure of ∠E=32°, and FD = 9.6 feet. Find the length of EF to the nearest tenth of a foot.

Mathematics
2 answers:
monitta3 years ago
8 0

Answer:

EF=15.4 ft

Step-by-step explanation:

I got it right on delta math so ig its right

NeX [460]3 years ago
6 0

Answer:

EF=15.4\ ft

Step-by-step explanation:

we know that

In the right triangle DEF

tan(E)=\frac{FD}{EF} ----> by TOA (opposite side divided by adjacent side)

substitute the given values

tan(32^o)=\frac{9.6}{EF}

solve for EF

EF=\frac{9.6}{tan(32^o)}=15.4\ ft

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Find the simple interest.
Mademuasel [1]
We need to compute the exact number of days of the loan.

Given:
Loan: 1,870
rate: 11%
term: Oct. 5 to Jan 16.

Oct 5-Oct 31: 26 days
Nov: 30 days
Dec: 31 days
Jan 16: 16 days.
total number of days: 103 days.

Interest = Principal * rate * term
Interest = 1870 * 0.11 * 103/365
Interest = 58.05

Given:
Promissory note $5,380
rate 6.2%
term: July 15 to Dec. 28

July 15 - 31 = 16 days
August: 31 days
September: 30 days
October: 31 days:
November: 30 days
December: 28 days
Total number of days is 166 days

Interest = Principal * rate * term
Interest = 5,380 * 0.062 * 166/365
Interest = 151.70
8 0
3 years ago
Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and
pochemuha

Answer:

y =  2*x^2 - 2*x - 24

Step-by-step explanation:

If we have a quadratic function with roots a and b, we can write the equation for that function as:

y = f(x) = A*(x - a)*(x - b)

Where A is the leading coefficient.

In this case, we know that the roots are: 4 and -3

Then the function will be something like:

f(x) = A*(x - 4)*(x - (-3) )

f(x) = A*(x - 4)*(x + 3)

Now we need to determine the value of A.

We also know that the graph of the function passes through the point (3, -12)

This means that:

f(3) = -12

Then:

-12 = A*(3 - 4)*(3 + 3)

-12 = A*(-1)*(6)

-12 = A*(-6)

-12/-6 = A

2 = A

Then the equation is:

y = f(x) = 2*(x - 4)*(x + 3)

Now we need to write this in standard form, so we just need to expand the equation:

y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)

y = f(x) = 2*(x^2 - x - 12)

y = f(x) = 2*x^2 - 2*x - 24

Then the relation is:

y =  2*x^2 - 2*x - 24

4 0
2 years ago
What is the equation of the line that passes through the point (4. -2) and has a<br> slope of 5/4?
KIM [24]

Answer:

y = 5/4 x - 7

Step-by-step explanation:

y - y1 = m(x - x1)

y + 2 = 5/4 (x - 4)

y + 2 = 5/4 x - 5

y = 5/4 x - 7

7 0
1 year ago
A sphere has a diameter of 10 in. What is the volume of the sphere?
givi [52]

The volume of sphere is \frac{500}{3}\pi inches cubed.

Step-by-step explanation:

Given,

Diameter of sphere = 10 inches

Radius of sphere = \frac{Diameter}{2}=\frac{10}{2}

Radius of sphere = 5 inches

Volume of sphere = \frac{4}{3}\pi r^3

V = \frac{4}{3}\pi (5)^3

V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi

The volume of sphere is \frac{500}{3}\pi inches cubed.

Keywords: volume, division

Learn more about division at:

  • brainly.com/question/11306893
  • brainly.com/question/11334714

#LearnwithBrainly

5 0
3 years ago
Read 2 more answers
The sunrise café gets tea bags of 1,000. If the café charges $1.75 for each cup of tea, and each cup of tea gets 1 tea bag, how
Setler [38]

Answer:

You would do $1.75 x 1,000. That would be 1$,750. Then, you would take away that $95 because they spent buying the box of tea bags, and their total would be $1,750 - $95 = $1,655.

5 0
2 years ago
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