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Marta_Voda [28]
3 years ago
7

9. 2 1/8 + 1 5/12

Mathematics
1 answer:
MrMuchimi3 years ago
4 0

Answer:

9) Exact Form:  85 /24     Decimal Form:  3.541 6    Mixed Number Form:  3  13 /24

10) Exact Form:  17 /18     Decimal Form:  0.9  4

11) Exact Form: 3 /5          Decimal Form:  0.6

Step-by-step explanation:

9) Convert the mixed numbers to improper fractions, then find the LCD and combine.

10) Simplify the expression.

11) To subtract fractions, find the LCD and then combine.

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David is standing on the deck of his treehouse which is 60 feet high in the tree and looking down at a 59degree angle. In the di
lidiya [134]

Answer:

22 degrees.

Step-by-step explanation:

Please find the attachment.

We have been given that a man is in a tree-house 10 feet above the ground. He is looking at the top of another tree that is 22 feet tall.The bases of the trees are 30 feet apart.

To find the angle of elevation from the man's feet to the top of the tree, we will use tangent because we know adjacent side and opposite side to angle x.

Now, we will use arctan or inverse tan to solve for x as:

Upon rounding to nearest degree, we will get:

Therefore, the angle of elevation from the man's feet to the top of the tree is approximately 22 degrees.

5 0
3 years ago
two towers labeled Tower A and Tower B some distance apart and a fire image at a certain distance from both towers Towers A and
astra-53 [7]

Answer:

7.0 mi

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

substitute the given values

42^o+64^o+C=180^o\\C=180^o-106^o=74^o

step 2

Find the measure of a

Applying the law of sines

\frac{c}{sin(C)}=\frac{a}{sin(A)}

substitute the given values

\frac{10}{sin(74^o)}=\frac{a}{sin(42^o)}

solve for a

a=\frac{10}{sin(74^o)}sin(42^o)\\a=7.0\ mi

8 0
3 years ago
Read 2 more answers
Find the surface area of the triangular prism below. The bases each have an
Ghella [55]

Answer:

60cm²

Step-by-step explanation:

Surface area of a triangular prism = 2B+ph

B is the base area = 6cm²

perimeter p = 12cm

altitude h = 4cm

Substitute

Surface area = 2(6) + 12(4)

Surface area = 12 + 48

Surface area = 60cm²

8 0
3 years ago
Blank—20.8=41.06 what is it help
ikadub [295]
Sorry i need to ask a question
5 0
3 years ago
In triangle ABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, inches?
shusha [124]

Answer:

-2 < AC < 8

Step-by-step explanation:

The last side has to be less than the sum of the other 2 sides, or less than 8. The only answer choice with this is the 3rd one.

8 0
3 years ago
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