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zlopas [31]
3 years ago
7

Solve the given right triangle for its missing angle and side measures.

Mathematics
1 answer:
siniylev [52]3 years ago
5 0

Answer:

m∠D = 55°, DE ≈ 8.40 units, DF ≈ 14.65 units

Step-by-step explanation:

got it right on the test

You might be interested in
Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buy
Ivanshal [37]

Complete Question

Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink

Answer:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

Step-by-step explanation:

Let the cost of

1 donut = x

300ml carton of juice = y

Max buys six donuts and a 300ml carton of juice for $3.50

6x + y = 3.50.....Equation 1

y = 3.50 - 6x

Susie buys four donuts and two 300ml carton of juice for $3.00

4x + 2y = 3...... Equation 2

Ben buys eight donuts and one 300ml carton of juice for $6.50

8x + 5y = 6.50......Equation 3

We substitute 3.50 - 6x for y in Equation 2

4x + 2y = 3...... Equation 2

4x + 2(3.50 - 6x) = 3

4x + 7 - 12x = 3

Collect like terms

4x - 12x = 3 - 7

-8x = -4

x = -4/-8

x = $0.50

Solving for y

y = 3.50 - 6x

y = 3.50 - 6(0.50)

y = 3.50 - 3.00

y = $0.50

Therefore:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

3 0
3 years ago
How do you do this please help
fomenos

Answer: can u be more direct plz

Step-by-step explanation:

4 0
3 years ago
39 - 15x if x = 2<br> Evaluate <br><br> HELP PLEASE!!
algol [13]
The Answer Would Be 9

39 - 15x
15 x 2 = 30
39 - 30 = 9
4 0
3 years ago
A circle has a diameter of 14cm. what is the area of the circle, rounded to the rearest tenth?
natali 33 [55]
To find the area of a circle.

We first need the radius.

This is quite simple, the radius is half of the diameter
Knowing the diameter is 14
14 divided by 2 = 7.

Now for a circle here is the equation
A = Area

A = <span>π r ^2
</span>
So we have the radius being 7 but now it needs to be squared.

7 x 7 = 49.

So now our equation is.

A = <span>π 49 ^2         (Keep in mind ^2 is just squared)
</span>
Now this is the answer but we can get more technical by multiplying 49 times <span>π
</span>
Now <span>π equals roughly 3.14 
</span>
So we can do 49 x 3.14 cm
Which this equals 153.86

Which rounding to the nearest tenth gets you:

153.9 cm is your area 

I really do hope this helps!
Brainliest is always appreciated if you feel its deserved!

P.S. If you still struggle with this here is a link that helped me out a lot with this subject when i was learning it :))

https://www.khanacademy.org/math/basic-geo/basic-geo-area-and-perimeter/area-circumference-circle/v/...





 


8 0
3 years ago
Read 2 more answers
There are 30 students in a class.14 are boys and 16 girls .find the rato of girls to boys.
Otrada [13]

14:16

you said "14 boys, 16 girls." 14 boys for every 16 girls.

7 0
3 years ago
Read 2 more answers
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