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Aloiza [94]
2 years ago
8

In ΔGHI, the measure of ∠I=90°, the measure of ∠G=62°, and GH = 96 feet. Find the length of IG to the nearest tenth of a foot.

Mathematics
2 answers:
Crank2 years ago
8 0

Answer: 45.1feet

Step-by-step explanation:

alexandr402 [8]2 years ago
6 0

Answer:

45.1feet

Step-by-step explanation:

Given the following

∠I=90°

∠G=62°, and

GH = 96 feet = Hypotenuse

Required

IG = Adjacent side

Using the SOH CAH TOA identity

Cos theta = Adj/hyp

Cos 62 =IG/96

IG = 96cos62

IG = 96(0.4695)

IG = 45.1feet

Hence the length of IG to the nearest tenth is 45.1feet

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In preperation for an easter egg hunt, 4 blue eggs are filled for every 7 green. How many green eggs will be filled if 100 blue
ivann1987 [24]

Answer:

1. Typed question: 175 green eggs

2. Attached: 22 tables

Step-by-step explanation:

For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.

4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.

Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}

Now let's solve for x:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}\\\\or\\\\\dfrac{4}{7}=\dfrac{100}{x}\\\\Cross-multiply\\\\4x = (7)(100)\\\\4x = 700\\\\Divide\;both\;sides\;by\;4\\\\\dfrac{4x}{4}=\dfrac{700}{4}\\\\x=175

For your attached problem:

You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.

175 ÷ 8 = 21.9 tables

Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)

21.9 ≅ 22 tables.

8 0
3 years ago
Pls answer soon we are timed ​
tamaranim1 [39]

Answer:

the blue model

20 birds in all

Step-by-step explanation:

8 0
3 years ago
Name a pair of corresponding angles
Gnoma [55]
<h3>Corresponding angles = angle 1 and angle 5</h3>

They are on the same side of the transversal cut (both to the left of the transversal) and they are both above the two black lines. It might help to make those two black lines to be parallel, though this is optional.

Other pairs of corresponding angles could be:

  • angle 2 and angle 6
  • angle 3 and angle 7
  • angle 4 and angle 8

=======================================================

<h3>Alternate interior angles = angle 3 and angle 5</h3>

They are between the black lines, so they are interior angles. They are on alternate sides of the blue transversal, making them alternate interior angles.

The other pair of alternate interior angles is angle 4 and angle 6.

=======================================================

<h3>Alternate exterior angles = angle 1 and angle 7</h3>

Similar to alternate interior angles, but now we're outside the black lines. The other pair of alternate exterior angles is angle 2 and angle 8

=======================================================

<h3>Same-side interior angles = angle 3 and angle 6</h3>

The other pair of same-side interior angles is angle 4 and angle 5. They are interior angles, and they are on the same side of the transversal.

6 0
2 years ago
What does the range and mean tell you about data?
Nady [450]
The approximate middle value
4 0
2 years ago
Read 2 more answers
A wire with a length of 100 cm is cut into three parts. The length of wire of the first and second parts are the same. The lengt
dsp73

The first two pieces are the same, let each of those equal x, so you have x + x = 2x

The 3rd piece is the sum of the first two + 4, so this would be 2x + 4

Now you have 2x + 2x + 4 = 100 cm

Combine like terms:

4x +4 = 100

Subtract 4 from both sides

4x = 96

Divide both sides by 4

X = 24

First piece is 24 cm

Second piece is 24 cm

Third piece is 52 cm

8 0
2 years ago
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