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vagabundo [1.1K]
1 year ago
10

In ΔFGH, the measure of ∠H=90°, the measure of ∠G=64°, and HF = 72 feet. Find the length of FG to the nearest tenth of a foot.

Mathematics
1 answer:
a_sh-v [17]1 year ago
4 0

Answer:

<h3>ok line fg would be 80.107</h3>

Step-by-step explanation:

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An animal park has lions, tigers and zebras. 20% of the animals are lions and half of the animals are zebras. If there are 120 a
RoseWind [281]

Answer:

36\ tigers

Step-by-step explanation:

Let

x ----> the number of lions

y ----> the number f tigers

z ----> the number of zebras

we know that

x+y+z=120 ----> equation A

Remember that

20\%=20/100=0.20

50\%=50/100=0.50

To find out the number of lions, multiply the total animals by the percentage of lions

x=0.20(120)=24\ lions

To find out the number of zebras, multiply the total animals by the percentage of zebras

z=0.50(120)=60\ zebras

Substitute the value of x and the value of z in equation A and solve for y

24+y+60=120

y+84=120

y=36\ tigers

6 0
1 year ago
The percent of tom's budget he spends on different types of expenses is shown in the circle graph above.tom's total monthly budg
aleksandr82 [10.1K]

Answer:

Groceries is 625 a month

Step-by-step explanation:

25 percent of 2500 is 625. To get this answer take the percent and go back 2 decimal places this will turn 25% into 0.25 then multiply 2500 by 0.25 and the answer is 625. This also is the same with the other values. 0.30 0.15 etc.

3 0
1 year ago
Read 2 more answers
Can you please help me with #7&amp;8 thanks in advance
Ilya [14]
(3/5)(1/2)

Let B = fraction of the bulletin board
for Homeroom 101

B = (3/5)(1/2)

B = 3/10

3 0
1 year ago
A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on
Volgvan

Answer:

D. tan(30^\circ+45^\circ) is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

\angle DCB =45^\circ\\\angle ACB =75^\circ\\

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the \triangle ABC, we are given the base BC and the \angle ACB, and the perpendicular is to be find out.

We can use trigonometric identity:

tan\theta =\dfrac{Perpendicular}{Base}

tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft

Hence, D. tan(30^\circ+45^\circ) is the correct answer.

5 0
1 year ago
Which are samples that are appropriate to survey regarding how the city’s residents feel about building a new youth center? Sele
sasho [114]

Answer:

Its actually 100 residents who live near the proposed site for the youth center

50 children at each city's four elementary schools

100 parents of children at each of the city's four school


Step-by-step explanation:


7 0
1 year ago
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