Mathematics High School

pls help me find all missing sides and angles. ;-;

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

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

∠ BAC + 51° + 90° = 180°

∠ BAC + 141° = 180° ( subtract 141° from both sides )

∠ BAC = 39°

using the tangent ratio in the right triangle

tan51° = [tex]\frac{opposite}{adjacent }[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{12.8}[/tex] ( multiply both sides by 12.8 )

12.8 × tan51° = AC , then

AC ≈ 15.8 ( to 1 dec. place )

using the cosine ratio in the right triangle

cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12.8}{AB}[/tex] ( multiply both sides by AB )

AB × cos51° = 12.8 ( divide both sides by cos51° )

AB = [tex]\frac{12.8}{cos51}[/tex] ≈ 20.3 ( to 1 dec. place )

Related Questions

For his phone service, Omar pays a monthly fee of $26, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is
$108.74
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.
D
>
DO
20
х
5
?

Answers

Answer: m ≥ 1,379

Step-by-step explanation:

$26 monthly fee

$0.06/minute of use

$108.74 (least charged in a month)

m = number of minutes

26 + 0.06m ≥ 108.74

0.06m ≥ 108.74 - 26

0.06m ≥ 82.74

[tex]\frac{0.06m}{0.06}[/tex] ≥ [tex]\frac{82.74}{0.06}[/tex]

m ≥ 1,379

In general, 60 beats per minute (bpm) is a heart rate that is considered too slow for an adult when at rest and 100 bpm is considered too high. As one way of measuring the stress of Canadian air traffic controllers, heart rates of 173 randomly selected air traffic controllers were measured across Canada. Of this sample of air traffic controllers, 47 had a resting heart rate over 100 bpm. What is the true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm

Answers

The true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm is; 0.2717 or 27.17%

How to calculate true proportion?

We are given;

Sample size; n = 173

Number of people who had a resting heart rate over 100 bpm = 47

Now, formula for true proportion is;

p' = x/n

where;

x represents the number of successes

n represents the sample size.

p′ is the sample proportion which is the point estimate for the true population proportion.

Thus;

p' = 47/173

p' = 0.2717

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HELP PLEASE FAST TY!!!!!!!!!!

Answers

Answer:

what is tge problem its to blurry

use the dots for one and two. what is the difference between the ranges

a. 20 points
b. 5 points
c. 10 points
d. 35 points

Answers

Answer:

a. 20 points

Step-by-step explanation:

Range = Largest given value - Smallest given value.

Identifying the range of test 1

Looking at the dot plot the lowest test grade appears to be 50 while the highest is 90.

So range of test 1 = 90 - 50 = 40

Identifying the range of test 2

Looking at the plot the lowest test grade appears to be 40 while the highest appears to be 100

So range = 100 - 40 = 60

Identifying the differences between the ranges

Test 1 range : 40

Test 2 range : 60

Difference between the two : 60 - 40 = 20 points

Kelly plants 45 tulips in 30 minutes what is the unit rate?

Answers

Answer:

1.5 per minute

Step-by-step explanation:

unit rate is how many in 1 minute so 45 divided by 30 is 1.5 and if you want to check your answer do 1.5 x 30 which is 45

help me please i need help

Answers

Answer:

if you want to, I can explain it to you in more details

Help me find the angle P and FHR equals in the attachment. I am running out of time pls help quick

Answers

Vertically opposite angles are the same so 124= p-117 so p= 241
so angle FHR is 241-117= 124°

round 8.48 to the nearest tenth

Answers

Answer:

8.50

Step-by-step explanation:

it’s 8.50 this is because if you need to round it to the nearest tenth, you just think is 9 closer to 10? Yes and so you make 48 into 8.50

Find the missing angle. 60° 80° 90° 200

Answers

Answer:

Step-by-step explanation:

140-60

Answer: 160°

140 + 60 = 200

360 - 200 = 160

Please help!!!! Find the value of x.

Answers

Answer: 84

Step-by-step explanation:

a sheet of paper is 0.1mm thick

a) A ream of paper has 500 sheets. how thick would 1 ream of paper be?

Answers

Answer:

a) 50 mmb) 1 200 sheet of paper

Step-by-step explanation:

a) the thickness of one ream of paper :

= 0.1 × 500

= 50 mm

b) 12 cm = 12 × 10 = 120 mm

Then

the number of sheets that exist in a pile of papers that has a thickness of 12 cm :

= 120 ÷ 0.1

= 1 200 sheet of paper

I need help asap please

Answers

Answer:

12.36

Step-by-step explanation:

the standard deviation is 12.36123 or 12.36 rounded.

GIVING BRAINLIEST!!!!!

Answers

Answer:

D' : (2, 1)

E' : (2, 3)

A' : (5, 3)

Step-by-step explanation:

Answer:

D' = (2, -3)

E' = (2, -1)

A' = (5, -3)

Step-by-step explanation:

Coordinates are :

D = (-4, -4)E = (-4, -2)A = (-1, -4)

The transformation rule is :

(x , y) ⇒ (x + 6, y + 1)

Point D'

D' = (-4 + 6, -4 + 1)D' = (2, -3)

Point E'

E' = (-4 + 6, -2 + 1)E' = (2, -1)

Point A'

A' = (-1 + 6, -4 + 1)A' = (5, -3)

The radius of a semicircle is 9.1 centimeters. What is the semicircle's perimeter?

Answers

Answer:

28.6 cm

Step-by-step explanation:

Given radius of semicircle (r) = 9.1 cm

perimeter of a semicircle = πr

= 22/7 × 9

= 22 × 1.3

= 28.6

Marcus had to drive to a job training workshop in a city 225 miles away from his home. He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training. How much was he paid for attending this workshop?

Answers

Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.

How to calculate allowance?

According to this question, Marcus had to drive to a job training workshop in a city 225 miles away from his home.

He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training.

This means that Marcus was paid as follows:

$0.55 × 225 miles = $123.75$145 × 4 = $580

Therefore, Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.

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What is the total area of the following composite figure?

136.26 m 2
122.13 m 2
117.42 m 2
62.13 m 2

Answers

Step-by-step explanation:

there is a rectangle and an octagon within

area of rectangle = 8*9 = 72

there are 4 right angled triangles

area of one such triangle = .5 × 9 = 4.5

total area of triangles = 18

area of octagon = 72-18 = 54 m^2

Which measure of variability is the most appropriate for this set of values? OA range OB. interquartile range OC. mean absolute deviation OD. absolute deviation O E. either interquartile range or mean absolute deviation

Answers

The most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have data shown in the picture.

As we know, Quartiles or ranges are useful, but they are limited because they skip a lot of data in the group.

For a data set like the one in this question, where the items are close in difference, absolute deviation can help us gain a more representative notion of spread.

Thus, the most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.

Learn more about the standard deviation here:

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To the nearest square centimeter, how many square centimeters of the plate are covered by the napkin? 16 square centimeters 30 square centimeters 56 square centimeters 60 square centimeters

Answers

The area covered by the napkin is 56 square centimeters

How to determine the area covered by the napkin?

This is calculated using:

[tex]Area = \frac 12 ab\sin(C)[/tex]

Where:

a = 15, b = 5 and C = 30

So, we have:

[tex]Area = \frac 12 * 15 * 15 * \sin(30)[/tex]

Evaluate the product

Area = 56.25

Approximate

Area = 56

Hence, the area covered by the napkin is 56 square centimeters

Answers

Answer:

There is no answer as there is no question.

Step-by-step explanation:

Answer:

I added the answer to your newest problem :D

Step-by-step explanation:

Hope it helped!

Determine the period.

Acellus

Answers

Answer: 5

Explanation:

One root (aka x intercept) is at x = 0

The next root over isn't clear, but luckily we can skip over it and see the next root after that is x = 5

After this point, the curve repeats itself. This means the period is 5 units.

The graph repeats itself every 5 units, aka the cycle is 5 time units long.

Which graph represents the solution set of y = x2 − 4 and x + y + 2 = 0?

A.
graph A

B.
graph B

C.
graph C

D.
graph D

Answers

Graph b i think im not fully sure

Answer:

its C

Step-by-step explanation:

I used something else for it for it

#3
the price of a watch was decreased by 35% and
sold for $75.99. what was the original price of the
watch in dollars?
a. $26.60
c. $116.91
b. $49.39
d. $217.11

Answers

Step-by-step explanation:

it means

$75.99 = original price × 0.65 ((100-35)/100)

original price = $75.99/0.65 = $116.9076923... ≈

≈ $116.91

Based on the end behavior of the graph, which polynomial function is graphed here?

graph of f(x) = -3x^4 - 6x^3 - 2x^2 + x + 3

A.
f(x) = 3x4 − 6x3 − 2x2 + x + 3
B.
f(x) = -3x3 − 2x2 + x + 3
C.
f(x) = -3x4 − 6x3 − 2x2 + x + 3
D.
f(x) = 3x3 − 2x2 + x + 3

Answers

Answer:

C) [tex]f(x)=-3x^4-6x^3-2x^2+x+3[/tex]

Step-by-step explanation:

As the graph of the function has 3 turning points, then it cannot be options B or D because the function would've had 2 turning points at most.

Also, since the graph of the function opens downward, the leading coefficient must be negative, so C must be the correct answer.

What is the measure of E

Answers

Step-by-step explanation:

Represent D and E as x because you don't know them

Now the sum of all these angles is 180

so,D+E+90(THE SIGN AT THE TOP)=180

D which is x the E which is also x

x+x+90=180

2x+90=180

2x=180-90

2x=90

[tex] \frac{2x}{2} = \frac{90}{2} [/tex]

cancel and you will get x as 45

therefore x is 45 degrees

HELPPPP THIS IS 7TH GRADE MATH AND IM CONFUSED (it’s the Jessica one btw)

Answers

Answer: $2.25
Explanation: First, subtract 11.50 - 4.75 = 6.75
Then 6.75 / 3 = 2.25

The top few hits from a search engine claim that approximately 10% of the population in the United States is left-handed. From a random sample of 20 students at your high school, you find 6 left-handed students, which gives you reason to believe that the true parameter is greater than 10%.

Use the drop-down menus to complete the statements.

Using a random number table, let digits
represent left-handed individuals and let digits
represent right-handed individuals.

Moving left to right across a row, select
numbers at a time and record the proportion of left-handed individuals.

Answers

Answer:

ok but question should be more clear though this is hard to understand

Answer:

0, 1-9, 20

Step-by-step explanation:

Pre-calc 2021

Mrs. thomas wants to put a table in the corner of a room. she considers the measurements of these tables. table 1 length: 1.5 feet width: 2.4 feet diagonal: 3.0 feet table 2 length: 3.2 feet width: 2.8 feet diagonal: 4.0 feet table 3 length: 2.4 feet width: 3.2 feet diagonal: 4.0 feet table 4 length: 2.6 feet width: 1.8 feet diagonal: 3.0 feet the walls forming the corner meet at a 90º angle. which table will fit snugly in the corner? table 1 table 2 table 3 table 4

Answers

Table 3 will fit snugly in the corner of the room.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

From the given data we will check the value of the diagonal by applying the Pythagorean theorem.

So by using the Pythagorean theorem:-

D ² = L² + W²

D² = ( 2.4 )² + ( 3.2 )²

D² = ( 5.76 + 10.24 ) = 16

D = √16 = 4 feet

Therefore table 3 will fit snugly in the corner of the room.

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Answer:

Table 3.

Step-by-step explanation:

Person above is correct, I'm takin the test!!

For the function f(x) = x3
Find f(2) =

Find f(-2) =

Answers

Answer:

[tex]f(2) = 6[/tex]

Step-by-step explanation:

Substitute x=2 into f(x) x times 3

[tex]f(2) = 2 \times 3[/tex]

Calculate it

[tex]f(2) = 6[/tex]

-10
Which system of inequalities is shown in the graph?
A)
x - 2y > 8 or x - 2y ≤ -6
x - 2y < 8 or x - 2y 2-6
x - 2y > -8 or x - 2y ≤ 6
x - 2y <-8 or x - 2y ≥ 6
B)
G
D)
-5
10-
0
-10+
5
10

Answers

Answer:

x - 2y > 8 or x - 2y ≤ -6

Step-by-step explanation:

I used desmos

I hope this helps!!!

The chance of winning based on the type of lottery tickets we purchase is 0.05, or 1 in 20. We will play each saturday until we win. What is the probability of winning on the fourth ticket?

a .05
b .0407
c .0475
d .04287

Answers

Answer:

Given that the probability of winning is = 0.05

So the probability of losing is = 1 - 0.05 = 0.95.

We are told we have a 1 in 20 chance

Success: 0.05

Failure: 0.95

P(X=4)= 0.95*0.95*0.95*0.05

So the chance is 0.04286 or Option D

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