how to find the missing side of a triangle in trig for geometry

Answer:

given ,

[tex]\bold{ZH = (11x - 29)}[/tex]

Also ,

[tex]\bold{x = 19}[/tex]

substituting the value of x in the value of ZH , we get

[tex]\bold{ZH = 11(19) - 29 }\\\bold{ ZH = 209 - 29 }\\ \bold\blue{ZH = 180}[/tex]

hope helpful~

The measure of ∠H is 180 degrees, which is a straight angle.

An angle with a measure of exactly 180 degrees is called a straight angle. It is an angle with arms that point in opposing directions from the vertex and unites to make 180°.

The given measure of ∠H is (11x - 29).

To determine the measure of ∠H when x = 19, we can simply substitute x = 19 into the expression for the measure of ∠H:

∠H = 11x - 29

∠H = 11(19) - 29

∠H = 209 - 29

∠H = 180

Here, ∠H has a measure of 180 degrees, which is a straight angle.

Therefore, the measure of ∠H when x = 19 is 180 degrees.

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Answer:

36.66 minutes have gone by

Step-by-step explanation:

x/78 = 47/100 cross multiply

x times 100 = 78 times 47

x100 = 3666

/100    /100

x = 36.66

Answer:

36

Step-by-step explanation:

All you have to do is 6x6 then it's 36...

By finding the quotient between the volumes, we will see that 24 books can be fit on the container, and by weight, the container can hold 20 books.

Remember that the volume of a rectangular prism of length L, width W, and height H is given by:

V = L*W*H

Then the volume of each book is:

V = 6in*2in*8in = 96 in^3

And the volume of the container is:

V' = 16in*12in*12in = 2,304 in^3

The number of books that fit in the container is given by:

N = V'/V = 2,304 in^3/96 in^3 = 24

Each book weighs 2 pounds, and the container can hold 40 pounds, then we need to solve the linear equation:

2*x = 40

To get the maximum number of books that the container can hold:

x = 40/2 = 20

x = 20

The container can hold a maximum of 20 books.

If you want to learn more about volumes, you can read:

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Answer:

Using the formulas

A=6a2

V=a3

Solving for V

V=6A3/2

36=6·543/2

36≈27

Answer:

40 cm²

Step-by-step explanation:

Surface Area = 4 x Area of Triangle + Area of Square

= 4 x 1/2 x 4 x 3 + 4 x 4

= 24 + 16

= 40 cm²

I cannot tell what you did wrong unless provided with your calculations as well.

Answer:

i rly hate graph them but what ever heres the graph

(8,9)

Hope This Helps!!!

[tex]\\ \rm\longmapsto f(x)=40(0.6)^x[/tex]

Now

[tex]\\ \rm\longmapsto f(4)[/tex]

[tex]\\ \rm\longmapsto 40(0.6)^4[/tex]

[tex]\\ \rm\longmapsto 40(1.3)[/tex]

[tex]\\ \rm\longmapsto 5.2ft[/tex]

Option A

Answer:

5.2 ft (nearest tenth)

Step-by-step explanation:

Given function:  [tex]f(x)=40(0.6)^x[/tex]

where:

To determine the height of the 4th bounce, substitute [tex]x=4[/tex] into the function:

[tex]\implies f(4)=40(0.6)^4[/tex]

              [tex]=40 \cdot 0.1296[/tex]

              [tex]=5.184[/tex]

              [tex]=5.2 \textsf{ ft (nearest tenth)}[/tex]

Answer:

a) 33.4

b) About 3 students can fit at the end of each row. The triangle formed by the 60° angle has an opposite leg of that is about 7.5 feet longer than the opposite leg formed by the 50° angle. Because each students needs 2 feet of space, 3 more students can fit on each end with about 1.5 feet of space left over.

Step-by-step explanation:

A. I used the Tangent ratio which is opposite/adjacent

tan(50)=x/14

14*tan(50)=x

*Use you calculators here and you should get about 16.68, but this is only one of the right triangle, so multiply that by 2 and you should get about 33.36 which rounded should become 33.4

B. For the amount of students you can fit at the end of each row, you need to find how long the opposite leg of the 60° triangle is than the opposite leg of the 50° triangle. to do this use the tangent ratio

since the 60° triangle is a special triangle, the opposite side is 14√3

14√3 - (14 · tan(50) ≈ 7.56  ← the answer is 7.5 probably since they didn't round (in Big Ideas)

7.56/2 ≈ 3.78 ← 2 feet of space for each student

↑answer is just 3 since you cannot split living objects

The last answer is 1.5

the get the left over amount, we would have to take the length opposite leg of the 60° triangle and divide it by the length of the opposite leg of the 50° triangle

14√3 ÷ (14 · tan(50) ≈ 1.45 ← must use parentheses otherwise they will divide your answer by 14 and then multiply, which none of us wants.

Answer:

Step-by-step explanation:

Image result for Identify the vertex of the following parabola. y = x2 - 4x +1

To find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways) through the formula for the axis of symmetry. Then, you'll use that value to solve for y (or x if your parabola opens to the side) by using the quadratic equation. Those two coordinates are your parabola's vertex.

Answer:

Lol is that one 1/b^7

Step-by-step explanation:

if you need explanations dm here

Answer:

7:55 pm is the correct time

Answer:

7:55 is the answer of the problem

[tex]12+5a² \\ -(15-3a²) \\- - - - - \\ - 3 + 8 {a}^{2} \\ - - - - - [/tex]

Solution :-

[tex]12+5a²-(15-3a²)\\12+5a²-15+3a²\\12-15+a²(5+3)\\ -3+8a²[/tex]

Hey there!

12 + 5a^2 - (15 - 3a^2)

DISTRIBUTE -1 WITHIN the PARENTHESES

= 12 + 5a^2 - 1(15) - 1(-3a^2)

= 12 + 5a^2 - 15 + 3a^2

COMBINE the LIKE TERMS

= (5a^2 - 3a^2) + (12 - 15)

= 5a^2 + 3a^2 + 12 - 15

= 8a^2 - 3

Therefore, your answer is: 8a^2 - 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The corresponding y-value where x = 2 is -2

From the given graph, we can see that we have a straight line almost passing through the origin.

There are several points on the line expressed as a coordinate (x, y). This means that for every x-value on the x-axis, there are corresponding y values

From the line, we can see that the corresponding y-value where x = 2 is -2

Step-by-step explanation:

Answer:

-2

Similarly construct a horizontal line which goes through the point of intersection. The value of the function here at x = 2 is -2. Therefore, the value of the function is -2.Step-by-step explanation:

Answer:

ok don't worry graphing is super easy.

remember this right is always positive and up is always positive. Left is always negative and down is always negative.

Therefore, point a = left 2 spaces up 1

b = stay right in the middle and move 3 up on the line

c = 1 right, 1 up

Have a great day! :)

pls mark brainliest

Answer:

*View attached graph for a visualization*

Step-by-step explanation:

Rule: (x, y) → (x + 3, y - 2)

A(-2, 1) → A'(-2 + 3, 1 - 2) → A'(1, -1)

B(0,3) → B'(0 + 3 - 2) → B'(3,1)

C(1,1) → C'(1 + 3, 1 - 2) → C'(4, -1)

PS: Vertice A is written incorrectly. It should have been A(-2, 1) like they stated in the beginning.

Hope this helps!

Answer:

d and b

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 8 , then

sum = 180° × 6 = 1080°

note there are 4 angles congruent to ∠ 1 and 1 angle congruent to ∠ 2

sum the interior angles and equate to 1080

5(10x + 15) + 2(14x) + 6x - 3 = 1080 ( distribute parenthesis on left side )

50x + 75 + 28x + 6x - 3 = 1080 ( simplify left side )

84x + 72 = 1080 ( subtract 72 from both sides )

84x = 1008 ( divide both sides by 84 )

x = 12 → option d

--------------------------------------------------------------------

∠ 1 = 10x + 15 = 10(12) + 15 = 120 + 15 = 135°

∠ 2 = 14x = 14 × 12 = 168°

∠ 3 = 6x - 3 = 6(12) - 3 = 72 - 3 = 69°

the largest interior angle is 168° → option b

Answer: 125 degrees and 55 degrees

Step-by-step explanation:

Answer:

42.60$

Step-by-step explanation:

35.50+(20/100×35.50)

35.50+(0.2×35.50)

35.50+7.10

42.60

Answer:

[tex]y=6x+-45[/tex]

Step-by-step explanation:

Given the following question:

Point A = (10, 15) = (x1, y1)
Point B = (8, 3) = (x2, y2)

To find the answer we first must find the slope which we will find by using the formula for slope or rise over run. Then we use the formula for slope intercept, substitute the values, and then solve for b.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{3-15}{8-10}[/tex]
[tex]3-15=-12[/tex]
[tex]8-10=-2[/tex]
[tex]=\frac{-12}{-2} =-12\div-2=6[/tex]
[tex]m=6[/tex]

Now we have the slope find the slope intercept:
[tex]y=mx+b[/tex]
[tex]y=15[/tex]
[tex]m=6[/tex]
[tex]x=10[/tex]
[tex]15=6(10)+b[/tex]
[tex]6\times10=60[/tex]
[tex]15=60+b[/tex]
[tex]60-60=0[/tex]
[tex]15-60=-45[/tex]
[tex]-45=b[/tex]
[tex]b=-45[/tex]
[tex]y=6x+-45[/tex]

Your answer is "y = 6x + -45."

Hope this helps.

Answer:

✓ Answer:c

.Step-by-step explanation: I dont have time to explain.

Answer:

4x-6

Step-by-step explanation:

x = a number

4 times x minus 6

James flipping the coin is an illustration of probability

James' claim is false

The sample space of a coin is:

S = {H,T}

So, the probability of obtaining a tail is:

P(T) = n(T)/n(S)

This gives

P(T) = 1/2

When the coin is flipped twice, the probability that he’ll get tails both times is

P(T and T) = 1/2 * 1/2

Evaluate the product

P(T and T) = 1/4

From the question, he says the probability that he’ll get tails both times is 1/2.

Hence, James' claim is false

Read more about probabilities at:

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Answer: a=21, b=42, c=117

Step-by-step explanation:

Answer:

226.8 rounded to the nearest whole number is 227

Step-by-step explanation:

226 is farther away than 227 on a number line, so it rounds to 227.

Answer:

Little more than 5 years

Step-by-step explanation:

Given the following question:

Original value of the car is $14,000
18% depreciated or diminish in value per year.

How many years would it take for the cars value to reach $1000?

To find the answer we must first find 18% of the 14,000 speaking how that's how much the car value diminishes in a year.

18% of 14000:
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{18\times14000}{100} =18\times14000=252000\div100=2520[/tex]
[tex]=2520[/tex]

18% of 14000 is 2520, which means each year the cars value depreciates $2520 dollars.

[tex]14000-2520=11480-2520=8960-2520-6440-2520=3920-2520=1400[/tex]
[tex]=1400[/tex]

Which means it will take a "little more than 5 years" for the cars value to reach $1000.

Hope this helps.

Answer:

SOLUTION: It would take about 4.7 hours if they worked together.

Step-by-step explanation:

Answer:

20.6%

Step-by-step explanation:

($8.25)/($40) = 0.206, or 20.6%

Answer:

20 greater than or equal to 4x + 7

Step-by-step explanation:

hope this helps!