10 1. Use the image below to answer the following questions: Solve for the measurement of A. b. Solve for y. a. C. Solve for x. X 48 Y A​

10 1. Use The Image Below To Answer The Following Questions: Solve For The Measurement Of A. B. Solve

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

(a)

the sum of the 3 angles in the triangle = 180° , then

∠ A = 180° - 90° - 48° = 180° - 138° = 42°

(b)

using the tangent ratio in the right triangle

tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{10}[/tex] ( multiply both sides by 10 )

10 × tan48° = y , then

y ≈ 11.1 units ( to the nearest tenth )

(c)

using the cosine ratio in the right triangle

cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )

x × cos48° = 10 ( divide both sides by cos48° )

x = [tex]\frac{10}{cos48}[/tex] ≈ 14.9 units ( to the nearest tenth )


Related Questions

Help with this inequality pleaze

Answers

Answer:

108 cm^2

Step-by-step explanation:

Trapezoid area = (a+b)/2 * h

= (6+12)/2 * 6 = 54 cm^2

Triangle area = b*h/2 = 12* (15-6) / 2 = 54 cm^2

Total area is 54+54 = 108 cm^2

Solve each equation for the given variable 2/3(x-6)=6

Answers

Answer:

2/3(x-6)=6

x-6=6(3/2)

x-6=9

x=9+6=15

How many inches around is the border if the diameter of the pizza is 8 inches?

Answers

Answer:

25.12

Step-by-step explanation:

Since it says around the pizza, we can assume it means circumference.

So, the formula to find circumference is C=2πr.

We have a diameter which is 8. We know that radius is half of the diameter. So, half of 8 is 4.

Now that we have the radius we can plug in the numbers for the formula C=2πr.

C=2πr

C=2*3.14*4

C=25.12

your answer is 25.12 inches.

Which choice belongs in space 5!!!

Answers

CPCTC belongs in space 5

which ordered pair could represent a y-intercept on a graph

Answers

Answer: (0,6)

Step-by-step explanation:

At a music academy, a randomly selected group of people were asked which type of musical instrument they are learning to play. The results are displayed, by age, in the two-way frequency table.

String Woodwind Piano Total
Ages 15-19 11 3 7 21
Ages 20-24 9 10 17 36
Ages 25-29 16 6 7 29
Total 36 19 31 86

Based on the data in the table, which statement is true?

A.
P(learning a string instrument) ≠ P(ages 20-24)
B.
P(playing piano|ages 25-29) = P(ages 15-19|learning piano)
C.
P(ages 15-19|learning piano) ≠ P(ages 15-19)
D.
P(learning piano|ages 20-24) = P(learning piano)

Answers

C P(ages 15-19)| learning piano)=/P(ages 15-19)

P(ages 15-19|learning piano) = P(playing piano|ages 25-29) so option (B) must be correct.

What is a frequency table?

A frequency table is a list of objects with the frequency of each item shown in the table.

The quantity of times that an event or value occurs is its frequency.

In other words, a frequency table is a table in which we have some data and their frequency.

Given the problem has been attached below,

It is clear that

Number of playing piano in the age of 25 - 29 = Number of playing piano in the age of 15 - 19

Hence it should be the correct answer.

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please help, i’ll give pointsssss :)

Answers

the slope of the line should be 2 because when using rise over run for the graph it is shown that the slope rises 2 and runs 1 meaning the fraction is 2/1 which when simplified is 2

Pleaseeeee helpppppp
Please help me evaluate this in terms of sin/cos/sec etc. (trigonometric form)

tan2θ-(1-tan2θ)=?

Answers

The evaluation is (2sin2∅-cos2∅)sec2∅.

What are trigonometric functions?

Trigonometric functions are functions used to relate the sides of a triangle with its angles.

Analysis:

2tan2∅ -(1- tan2∅)

2tan2∅ - 1 + tan2∅

3tan2∅ - 1

3([tex]\frac{sin2\alpha }{cos2\alpha }[/tex]) - 1

(3sin2∅/cos2∅) - 1

(3sin2∅ - cos2∅)/cos2∅

but 1/cos2∅ = sec2∅

(3sin2∅ - cos2∅)/sec2∅

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A triangle has a perimeter of 77 cm. One side of the triangle is double the base. The other side is quadruple the base. What are the 3 side lengths? Show your work

Answers

The three sides of the triangles are 11 cm, 22cm, and 44cm.

What is the perimeter of a triangle?

The perimeter of the triangle can be calculated by the sum of all the three sides of the triangle.

A triangle has a perimeter of 77 cm.

Let the side of the triangle be x, y, and the base z.

One side of the triangle is double the base.

x = 2z

The other side is quadruple the base.

y = 4z

The perimeter

X + y + z = 77

or

2z + 4z + z = 77

7z = 77

z = 11

So, the length of base z is 11 cm.

The other sides as

x = 22

y = 44

Therefore,The three sides of the triangles are 11 cm, 22cm, and 44cm.

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The length of a rectangular dassroom floor is
19 feet less than twice its width. write an
expression to represent the area of the floor
in simplest form.

Answers

Answer:

W(2W-19)

Step-by-step explanation:

let length = L

length= L feet

let Width= W

from the question,

twice the width = 2W

then L = 2W-19

the area of the rectangle

Area= length × width

Area= 2W-19×W

Area= 2W^2-19W

Area= W(2W-19)

√34=

need some solution please​

Answers

Answer:

34 1/2

Step-by-step explanation:

Accuracy is a measure of how close an answer is to actual or expected value true or false

Answers

Answer:

True

Step-by-step explanation:

Hello there!

Accuracy refers to a measure of how close an answer (this can also be measurement) to actual or expected value. This is a clear definition which has also been postulated by International Standard of Units (ISO). And therefore the claim above is true.

I hope this helps you.

Have a nice studies.

Given the following function: y=x^2+10x+25 Using your knowledge of discriminants, how many solutions does this function have?

Answers

Answer:

One solution

Step-by-step explanation:

Given function:

y = x² + 10x + 25

This is a quadratic function.  

A quadratic equation has:

Two solutions if discriminant is positive;One solution if discriminant is zero;No solution if discriminant is negative

Find the discriminant of the given function:

D = b² - 4ac = 10² - 4*1*25 = 100 - 100 = 0

This function has one solution since its discriminant is zero.

Answer:

one real solution

Step-by-step explanation:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]

Given function:

[tex]y=x^2+10x+25[/tex]

Therefore:

[tex]a = 1[/tex][tex]b = 10[/tex][tex]c = 25[/tex]

Substitute the given values into the discriminant:

[tex]\implies 10^2-4(1)(25)=0[/tex]

As the discriminant equals zero, there is one real solution.

The circle is centered on point p. points j, k and l lie on the circumference. zjlk
measures 47. find the measure of zjpk.

Answers

Using the giving information, the measure of ∠JPK is 94°

Circle Geometry

From the question, we are to determine the measure of ∠JPK

From one of the circle theorems,

Angle at the center is twice the angle at the circumference


That is,

∠JPK = 2 × ∠JLK

From the given information,

∠JLK = 47°

∴ ∠JPK = 2 × 47°

∠JPK = 94°

Hence, the measure of ∠JPK is 94°

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Some of the following integers are prime. Compute the sum of the prime integers in the list. (a) 197 (b) 497 (c) 1111 (d) 2111 (e) 2643 (f) 3599

Answers

The sum of the prime integers in the list is 10158.

What are Prime Numbers ?

The numbers that are divisible by 1 or itself is called a Prime Number.

The sum of two prime numbers is not a prime number

The given prime numbers are

197 , 497, 1111 ,2111 , 2643 , 3599

=197+ 497+1111+2111+2643+3599

= 10158

The sum of the prime integers in the list is 10158.

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help solve these algebraic fractions please with explanation would be great <3​

Answers

Answer:

7/ Ans;

[tex] \frac{x + 2}{ x + 4} \div \frac{ {x }^{2} - 2x - 8}{ {x}^{2} + 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{(x - 2)(x + 4)}{(x - 4)(x + 2)} \\ \\ \\ =1 \times \frac{x - 2}{x - 4} \\ \\ \\ = \frac{x - 2}{x - 4} [/tex]

___o__o__

9/Ans;

[tex] \frac{ {x}^{2} - 9}{ {x}^{2} - 6x + 9} \div \frac{x + 4}{x - 3} \\ \\ \frac{ {x}^{2} - 9 }{ {x}^{2} - 6x + 9} \times \frac{x - 3}{x + 4} \\ \\ \\ \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)} \times \frac{x - 3}{x + 4} \\ \\ \\ = \frac{(x + 3)}{1} \times \frac{1}{(x + 4)} \\ \\ \\ = \frac{x + 3}{x + 4} [/tex]

__o__o__

In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .

Select the correct answer.
The Cohen family started their wheat farm in 1995. The equation models the number of bushels of wheat they produced each year, where tis
the number of years since 1995.
C(t)= 7,000+500 In(t + 1)
The Mason family also started their wheat farm in 1995. The graph models the number of bushels of wheat they produced each year, where t
is the number of years since 1995.
M(t)

Answers

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct statement is D.

What is a graph?

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

If we draw the graph of the Cohen family, then the graph will look as shown below. Therefore, if we observe the graph of the Cohen family and the graph of the Mason family. Then we will observe that the wheat production of both farms will approach a stable amount as the years pass.

Hence, the correct statement is D.

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Determine whether each set of side lengths could be the sides of a right triangle. drag and drop each set of side lengths to the correct box. right triangle not a right triangle

Answers

The set of side lengths that could be the sides of a right triangle must follow the Pythagoras theorem

How to determine the side lengths?

The rule of the side lengths of a right triangle is:

[tex]c^2 = a^2 + b^2[/tex]

Where c is the length of the longest side, and a and b represent the lengths of the triangle

This in other words mean that:

All right triangles obey the Pythagoras theorem

Note that I gave a general explanation because the question is incomplete

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Porter's coat has a diameter of 8 millimeters. What is the button's area

Answers

We can use the formula to solve for A, the area. The formula is:

A=1/4 · π · d^2.

So let’s use this to solve the diameter of the button.

1/4·π·8^2≈50.26548

We can then round to a final answer of 50.27.

Hope this helps!

how do i solve this pleasee

Answers

This data should be displayed as a Histogram as there are specified into different ranges.

Bar graphs should be chosen only when they are divided into various categories.

Plot the data's in Histogram format like this (range to range):

Question 5 and 6 I need answers to

Answers

Answer:

and also mark me the brainliest for the answer

Step-by-step explanation:

I need help on this please

Answers

Answer:

-22

Step-by-step explanation:

each mark decreases by three, two marks down from 16 would be 16+3+3; which equals 22, and it has to be negative

hope this helped!

I think it’s either 19


But I’m not 100% sure, but why I think this is because 10…..16
So between those 2 numbers is 13
That means that it adds by 3
Which maybe 16+3=19
sorry tho I’m not that sure but I think it is ?

Pls help to find intervals of increasing, decreasing, and range. Quadratic btw T-T

Answers

Answer:

left side:

Range: For all Y inside of Real, y>= -2

Increasing: (-2, inf) For all x inside of Real

Decreasing:(inf, -2)  For all x inside of Real

Right side:

Range: For all Y inside of Real, y<= 1

Increasing: (-1, inf) For all x inside of Real

Decreasing:(inf, 1)  For all x inside of Real


300% of 7 is what percent of 42?
A. 30%
B. 50%
C. 60%
D. 12.5%

Answers

Answer:

B. 50%

Step-by-step explanation:

Step by step by me I guess

The solution is , B) 50% of 42 is 300% of 7.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here. we have,

given that,

300% of 7

we have to that is what percent of 42.

now, we know,,

300% of 7 = 300 * 7 /100

[300% is the same as 3. So to find 300% of 7 , 3 times 7 and get 21.]

i.e. 300% of 7 = 3* 7

                       = 21

Now we need to find _% times 42 = 21.

let, it = x

now,

Divide 21/42 to get 0.5.

This is the same thing as 50%.

so, we get,

50% of 42 = 21

i.e. 300% of 7 = 50% of 42

Hence, The solution is , B) 50% of 42 is 300% of 7.

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Enter segments in the blanks provided that would result in a true equation.

Answers

Answer: [tex]\frac{ML}{MK}[/tex]

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so since OP corresponds to ML and NP corresponds to MK (since they are opposite the corresponding congruent angles), the answer is ML/MK.

Mr. Addison is building a sandbox shaped like a rectangular prism. The sandbox is 9ft long, 5ft wide, and 2.5 ft deep. How many cubic ft of sand will the sandbox hold?

Answers

Answer.= 112.5 cu ft

Volume is what you are looking for
Volume is L x W x H
9x5x2.5 = 112.5 cu ft

n = ut - ½gt2 Find h when u = 100
t=1% & g=6.4

Answers

Step-by-step explanation:

h = ut - ½gt²

h = 100 (0.01) – 1/2 × 6.4 × (1/100)²

h = 1 – 1/2 × 6.4 × 0.0001

h = 1 – 0.00032

h = 0.99968 ≈ 0.9

which set of measurements could be the side lengths of a triangle
13cm 7cm 4cm
7cm 10cm 8cm
9cm 4cm 4cm
2cm 8cm 12cm

Answers

Answer:

Hi,

Step-by-step explanation:

(13,7,4) may not be a triangle since 13 is not little than 7+4=11
(7,10,8,) may be a triangle (7 < 10+8 , 10 < 7+8,  8 < 10+7)

(9,4,4) no since 9 is not < 4+4

(2,8,12) no since 12 is not < 2+8

The only answer is (7,10,8)

What is the value of x.

Answers

Answer:

Step-by-step explanation:

x + x + 36 = 180

2x + 36 = 180

2x = 144

x = 72

Identify whether the change represent growth or decay and determine the percentage rate increase or decrease in y= 16(1.059)^z

Answers

Answer: Growth rate of 5.9%

Step-by-step explanation:

Since 1.059>1, it represents growth.

[tex]1+r=1.059 \\ \\ r=0.059=\boxed{5.9\%}[/tex]

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