an isosceles triangle is drawn with base angles 24 degrees and a base of 28 cm. Find the base angles of the isosceles triangle with the same base but with treble the area.

Answers

Answer 1

Answer:

Step-by-step explanation:

height = 14tan(24°)

area = 0.5(base)(height)

Find the angle that triples the height.

tanθ = 3×14tan(24°)

θ = arctan(3×14tan(24°)) ≅ 53.2°

Answer 2

The base angle will be 53.3 degrees when the area gets treble.

What is isosceles triangle?

A triangle with two sides of equal length is an isosceles triangle.

What are base angles?

The angles that have the base as one of their sides are called base angles.

Formula for area of triangle

[tex]Area = \frac{1}{2} bh[/tex]

Where,

b is the base of the triangle

h is the height of the triangle

According to the given question

We have,

Base angle of the isosceles triangle is 24 degrees.

Base of the isosceles triangle is 28 cm.

In triangle ABC

We have

BC = 28cm, BD = 14cm, AD = h and ∠ABD = 24 degrees

Now, in right angle triangle ABD

[tex]tan24 = \frac{h}{14}[/tex]

⇒ tan24 × 14 = h

Therefore,

Area of triangle ABC = [tex]\frac{1}{2}[/tex] × 28 × 14 × tan 24

Area of triangle ABC = 196tan24

Therefore, the base angles of an new  isosceles triangle when the area get treble is given but with the same base  by

Area of new isosceles  = 3× area of triangle ABC

⇒ [tex]\frac{1}{2}[/tex]× 28 × tanθ × 14 = 3×196tan24

⇒tanθ =  3 × 0.4452

⇒ tanθ = 1.3356

⇒ θ = [tex]tan^{-1}(1.34)[/tex]

⇒ θ = 53.3 degrees

Hence, the base angle will be 53.3 degrees when the area gets treble.

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An Isosceles Triangle Is Drawn With Base Angles 24 Degrees And A Base Of 28 Cm. Find The Base Angles

Related Questions

Camden invested $7,200 in an account paying an interest rate of 4.4% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,140?

Answers

The value of the account to reach $13,140 will take 14 years assuming no deposits or withdrawals are made .

What is compound interest?

Compound interest is an interest accumulated on the principal and interest together over a given time period. The interest accumulated on a principal over a period of time is also accounted under the principal.

Formula of compound interest :

[tex]A = P (1+ \frac{r}{100} )^{n}[/tex]

Where,

A = final Amount

P = initial principal

r = rate per annum

n = time in years

According to the question

Camden invested (P) = $7,200

Interest rate per month (r) = 4.4%

Amount  to reach =  $13,140

now , using Formula of compound interest

[tex]A = P (1+ \frac{r}{100} )^{n}[/tex] ere , n = n/12 (as concluding monthly wise )

Substituting the values

[tex]13140 = 7200 (1+ \frac{4.4}{100} )^{\frac{n}{12} }[/tex]

1.825  = [tex](1+ \frac{4.4}{100} )^{\frac{n}{12} }[/tex]

1.825  = [tex](1..044 )^{\frac{n}{12} }[/tex]

n ≈ 168 months (approx.)

n = 14 years (nearest year)

Hence, the value of the account to reach $13,140 will take 14 years assuming no deposits or withdrawals are made .

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Any one 100% kno these two answers

Answers

Answer:

The first question would likely be y=10.
The second question would likely be x=20.

ratios into their simplest form a)35:56​

Answers

Answer:

Reduced fraction: 58. Therefore, 35/56 simplified to lowest terms is 5/8

Answer:

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 35 and 56 is 7.

35 ÷ 756 ÷ 7.

Reduced fraction: 58. Therefore, 35/56 simplified to lowest terms is 5/8.

round 7.49 to the nearest tenth

Answers

Answer:

7.5

7.49 rounded to the nearest tenth is 7.5 because there is a 9 in the hundredths place.

After the Sutton family finished their meal at a local restaurant, the waiter brought them a check for $48.86. If Mrs. Sutton leaves a 20% tip, what amount of tip wages will the waiter receive?

What will the total meal cost?

How much should you tip a hairstylist, pizza delivery person, and taxi driver?

Answers

Answer:

58.23

Step-by-step explanation:

The amount of tip wages will the waiter receive will be $9.77. Then the total meal cost will be $58.63.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

After the Sutton family finished their meal at a local restaurant, the waiter brought them a check for $48.86. If Mrs. Sutton leaves a 20% tip. Then the amount of the tip will be

Tip = 20% of $48.86

Tip = 0.20 x $48.86

Tip = $9.772

Then the total meal cost will be

Total cost = $48.86 + $9.772

Total cost = $58.63

The amount of tip wages will the waiter receive will be $9.77. Then the total meal cost will be $58.63.

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HELP PLS DONT NEED TO DO THE PROVLEMS JUST HELP

Answers

Answer:

i have NO idea dud

Step-by-step explanation:

The school flagpole is 28 feet tall. How many yards is that?

Answers

i think the answer is 9.33 recurring :)

Answer: the answer is 9.33---

Which is equivalent to the ratio 4:5?
A. 95: 100
B. 80: 100
C. 60: 100
D. 40: 100
E. 20 : 100

Answers

Answer:

B) 80:100

Step-by-step explanation:

80:100

/20 /20

4:5

B is the correct one

Find the value of x with the equation

Answers

Answer:

x=4

Step-by-step explanation:

SU=TR

x+1=2x-3

-x.    -x

1=x-3

+3. +3

x=4

Find the distance between the points.
(7,9) and (-1,9)

Answers

Answer:

The distance is 8 between (7,9) and (-1,9)

Step-by-step explanation:

For:

(X1, Y1) = (7, 9)

(X2, Y2) = (-1, 9)

d=(−1−7)2+(9−9)2√

d=(−8)2+(0)2√

d=64+0√

d=6–√4

d=8

giving out 20 points for correct answer only answer if yk. thx hagd
The following table shows the number of hours some middle school students in two cities spend texting each week:

City A 9 27 17 24 21 12 25 25 18
City B 6 20 26 15 23 25 14 14 11

Part A: Create a five-number summary and calculate the interquartile range for the two sets of data.

Part B: Are the box plots symmetric? Justify your answer.

Answers

Answer:

the five number summary for city a is the following:

min- 9

q1- 17

median- 21

q3- 25

max- 27

Eighteen technicians in a cell phone repair shop are randomly selected to participate in a study comparing two screen repair techniques. They are randomly assigned one of the two techniques. The manager trains 9 technicians on one technique and trains the other 9 technicians on the second technique. He then records the number of screen repairs each technician does in one week. Which inferential statistical test would be most appropriate for this scenario?

A one-sample z-test
A paired t-test
A chi-square goodness-of-fit test
A one-sample t-test
A two-sample t-test

Answers

Answer:

a two sample t test

Step-by-step explanation:

The inferential statistical test that would be most appropriate for this scenario is a two-sample t-test option fifth is correct.

What is a t-test?

A t-test is a hypothesis-testing technique for analyzing the means of one or two populations. A t-test can be used to see if a single group differs from a known value, if two groups differ from each other (an independent two-sample t-test), or if paired measurements show a significant difference.

Based on the information provided, there are two techniques, each with nine technicians. The sample sizes are tiny, in other words. Furthermore, the two samples are unrelated to one another. As a result, a two-sample t-test is appropriate.

Thus, the inferential statistical test that would be most appropriate for this scenario is a two-sample t-test option fifth is correct.

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-4Runner -2r+5 what is the answer

Answers

The answer is. -2r+1.

A school gymnasium is being remodeled. The basketball court will be similar to an NCAA basketball court, which has a length of 94 feet and a width of 50 feet. The school plans to make the width of the new court 45 feet. Find the perimeters of an NCAA court and of the new court in the school.​

Answers

Answer:

Perimeter of NCAA court=288 feet

Perimeter of new court=259.2 feet

Step-by-step explanation:

We are given that

Length of NCAA court, l=94 feet

Width of NCAA court, b=50 feet

Width of new court, b'=45 feet

We have to find the perimeter of an NCAA court and new court in the school.

Perimeter of NCAA court=[tex]2(l+b)[/tex]

Perimeter of NCAA court=[tex]2(94+50)[/tex]feet

Perimeter of NCAA court=288 feet

When two rectangles are similar then  the ration of their   corresponding sides are equal.

Using the  property

[tex]\frac{Perimeter\;of\;NCAA\;court}{Perimeter\;of\;new\;court}=\frac{Width\;of\;NCAA\;court}{Width\;of\;new\;court}[/tex]

[tex]\frac{288}{Perimeter\;of\;new\;court}=\frac{50}{45}[/tex]

Perimeter of new court=[tex]\frac{288\times 45}{50}[/tex] feet

Perimeter of new court=259.2 feet

The perimeter of the NCAA basketball ground is 288 feet, while the school basketball ground is 259.2 feet.

Given to us,

For NCAA basketball court,

Length, [tex]\bold {L_{NB}}[/tex] = 94 feet,

Width, [tex]\bold {W_{NB}}[/tex] = 50 feet,

For School basketball court,

Width, [tex]\bold {w_{school}}[/tex] = 45 feet,

As discussed in the question, school basketball court will be similar to an NCAA basketball court. Thus, they will be in ratio,

[tex]\bold {\dfrac{L_{NB}}{W_{NB}} = \dfrac{l_{school}}{w_{school}}}[/tex]

Substituting the value,

[tex]\bold {\dfrac{94}{50} = \dfrac{l_{school}}{45}}[/tex]

[tex]\bold{ l_{school} = \dfrac{94\times 45}{50}}[/tex]

[tex]\bold{ l_{school} = 84.6 }[/tex]

We know that, perimeter of rectangular = 2(length+width),

[tex]\begin{aligned}Perimeter_{NB}&= 2(length+width)\\&= 2(94+50)\\&= 288 \end{aligned}[/tex]

[tex]\bold{\begin{aligned}Perimeter_{school}&= 2(length+width)\\&= 2(84.6+45)\\&= 259.2\end{aligned}}[/tex]

Hence, the perimeter of the NCAA basketball ground is 288 feet, while the school basketball ground is 259.2 feet.

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Use the functionſ to answer the question. f () = 3x2 - 7x - 32 What is the value of f (-4)? A. -52 B. -12 O c. 44 D. 140 +
[tex]f{x} = 3x2 - 7 x - 32 = [/tex]

Answers

Step-by-step explanation:

step 1. please write it f(x) = 3x^2 - 7x -32

step 2. f(-4) = 3(-4)^2 -7(-4) - 32

step 3. f(-4) = 48 + 28 - 32

step 4. f(-4) = 44.


Checkpoint
Which ratios are equivalent to the given ratio?
9:36
Select each correct answer.
1:4
2 to 8
4/1
12 to 3
18/72

Answers

1:4✔

2 to 8✖

41 ✖

12 to 3 ✖

1872 ✖

✖ = not correct

✔ = correct

▶So, step 1: We have to divide by the number 9 to find the result of the equivalent ratio.

▶This is what I am saying in other words ⬇

9 ÷ 9 ➡1
36 ÷ 9 ➡4

Anyhow, the answer for the question would have to be option A. 1:4

Good luck!

in the diagram, what is the measure of

Answers

Answer:

your question is incomplete

Step-by-step explanation:

ehem

Answer: I need a question to answer

Step-by-step explanation:

Pls help ASAP if you can

Does coordinate a or coordinate b represent a greater number?
(0,4)
(6, b)
(0,0)
(a,0)


Answers

Answer:

A is correct.

Step-by-step explanation:

Answer:

BTS YA"LL

Step-by-step explanation:

BTS BTS BST BST SBTS BTS IS THE CURE

Match each equation to the line of best fit that it models.

Answers

Where are the the equations?

i do not know where the picture or question is

A road is
4/5
of a mile long. A crew needs to repave 2/5
of the road. How long is the section that needs to be repaved?
Write your answer in simplest form.

Answers

Answer: 20/10

Step-by-step explanation:

Take (calculate) 4/5 of 2/5 mile:

4x5= 20

---- * ---- = 20/10

2x5= 10

The section that needs to be repaved is 1/2 of a mile.

What is a fraction?

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Length of road = 4/5 of a mile

Road needs to repave = 2/5 of the road

Thus, road needs to repave = 2/5 of 4/5

⇒ road needs to repave = (2*4)/(5*5)

⇒ road needs to repave = 10/20

or, road needs to repave = 1/2

Thus, the section that needs to be repaved is 1/2 of a mile.

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2 kilometers to 72 meters write each ratio in simplest form

Answers

Hi there!

1:36

1.Find common denominator:

[tex]2*2/72*2[/tex]

Commonest denominator: 2

2.Divide the two terms:

[tex]2*2=1/72*2=36[/tex]

3.Convert into rate form:

[tex]1,36=1:36[/tex]

This means, 2 kilometers to 72 meters simplest form is 1:36.

If a man were to sell his T.V set for 7200, he would have lost 25%. For what price must he sell it to​

Answers

Answer:

Step-by-step explanation

S.P of a t.v = rs 7200

Loss % = 25%

Therefore, C.P = S.P (100/100-loss)

=7200(100/100-25)

=7200 x 100/75

=9600

So,now C.P = 9600

Profit% = 25%

Therefore, S.P = C.P (100+profit/100)

=9600(100+25/100)

=9600 x 125/100

=12000

So,the price he should sell to gain 25%

=12000

Hope it helps...!!!

Find the value of x. Round to the nearest tenth.

Answers

Answer:

rounded to nearest 10th is 30

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!​

Answers

Answer:

9

Step-by-step explanation:

9x9=81

The answer is 9

Step by step
........

Date:
.
'. Due to coxid-19 pandimec, the Jacinto
Family donated 180 pos Face Shield
and the aguinaldo family also don
213 pcs of pace shield to the front
liner, If a face shield cost 8m pesos
How much
the total cost of
donation.
tone soola​

Answers

Answer:

It's 3,114: )

Step-by-step explanation:

Because if you multiply the 8m to 180 it will remain to 1,440 plus additional 1,704 so it will be 3,114, the main answer

Solve the inequality.
|5 - 2x|> 14

Answers

Answer:

x < −9/2

or

x > 19/2

I hope this helps <333

I need help I don't understand this

Answers

Answer:

Proportional

Step-by-step explanation:

The Bags of Screws (input) is multiplied by 5 to get the Price (output) each time, so the situation is proportional. If one or two numbers were not multiplied by 5 to get the Price (output), the situation would not be proportional.

Hope it helps!

The anticoagulant warfarin is often used as a pesticide against house mice, Mus musculus. Some populations of the house mouse have acquired a mutation in the vkorc1 gene from hybridizing with the Algerian mouse, M. spretus (Song et al. 2011). In the Algerian mice, this gene confers resistance to warfarin. In a hypothetical follow-up study, researchers collected a sample of house mice to determine whether presence of the vkorc1 mutation is associated with warfarin resistance in house mice as well. They fed warfarin to all the mice in a sample and compared survival between the individuals possessing the mutation.
a. Identifiy the two variables measured in the study and indicate which is the explanatory and which is the response variable.
i. Explanatory:
ii. Response:
b.Identify the scales on which each of the two variables is quantified (nominal, ordinal, inteval, ratio).
c. What do you think was the intended target population for the study? Why?
d. Do you consider the follow up study to be a manipulative experiment or an observational experiment? Explain.
e. Do you think the researchers used a random sample? Explain.

Answers

Solution :

Response variable is the variable whose value is to be predicted or the value  is influenced. It is also known as the dependent variable. While the variable which affects the values and is used for the prediction is known as the explanatory variable or the independent variable.

i. The explanatory variable in the study is the Vkorc I mutation.

ii. The response variable in the study is the Warfarin resistance.

b). The explanatory variable which comes under the nominal scale in this study is the Vkorc I mutation.

While the response variable or the independent variable that comes under the interval scale in the study is the Warfarin resistance.

c). The group of the individuals in this study is called as  population. The target population in the study is the house mouse which is required as the mutation in Vkorc 1 gene from the hybridizing with Algerian mouse.

d). The study is a manipulative experiment as the changes that have already introduced in house mice and the treatments are under control.

e). No in this study the researcher did not use any random sample.

Given the function h(x) = x^2+2x -2 determine the average rate of change of the
function over the interval —7≤x≤2

Answers

Answer: Good luck my friend I have no idea

Step-by-step explanation:

how many different three digit numbers can be formed using the digits 9 3 4 7 and 6 assume the number can be used more than once?​

Answers

Answer:

60

Step-by-step explanation:

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