∆ABC is isosceles with legs AB and AC. If AC = 6 cm, and the perimeter is 15 cm, calculate m∠B.

Answers

Answer 1

Answer:

m∠B = 75.5°

Step-by-step explanation:

Since AC = 6, then AB = 6 and BC = 15-6-6 = 3

The altitude from A bisects side BC.  Let the point of intersection of the altitude and BC be point D.  Then BD = 1.5

Cos B = 1.5/6

m∠B = arcccos (1.5/6)

m∠B = 75.5°


Related Questions

what is the value of the negative zero of the function, f, defined by
f(x) = x^2 - 16

Answers

Answer:

x = -4

Step-by-step explanation:

f(x) = x² - 16

This is the difference of squares

which factors as

f(x) = (x - 4)(x + 4)

Therefor the negative zero is

x = -4

Which ordered pair is a solution to the following system of inequalities?
y< 2x+1
y 2 X-1

A. (-3,-11)
B. (0,6)
C. (5, 4)
D. (-8,0)

Answers

Answer: I think B

Step-by-step explanation:

In the process of milling grain, 3% of the original is lost because of spillage,
and another 5% of the originalis lost because of mildew. If the inill starts out
with 490 tons of grain, how much in tons) reinains to be sold after milling?

Answers

Answer:

450.8 tons of grain remain to be sold after milling.

Step-by-step explanation:

We know that in total 8% of the original grain is lost (3% spillage + 5% mildew). We can multiply the original 490 tons by 8% to find out how many tons are lost.

490 × 8% ----> 490 x 0.08= 39.2 tons.

We now know that 39.2 tons are lost. We subtract this from the original to see how much remains.

490 - 39.2= 450.8 tons.

We have 450.8 tons remaining.

On the SAT exam, a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator. A guidance counselor would like to know if the students in his school are prepared to complete this portion of the exam in the time allotted. To investigate, the counselor selects a random sample of 35 students and administers this portion of the test. The students are instructed to turn in their test as soon as they have completed the questions. The mean amount of time taken by the students is 23.5 minutes with a standard deviation of 4.8 minutes. The counselor would like to know if the data provide convincing evidence that the true mean amount of time needed for all students of this school to complete this portion of the test is less than 25 minutes. What are the appropriate hypotheses?

H0: μ = 23.5 versus Ha: μ < 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
H0: μ = 23.5 versus Ha: μ > 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
H0: μ = 25 versus Ha: μ < 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
H0: μ = 25 versus Ha: μ > 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam

Answers

Answer:

H0: μ = 23.5 versus Ha: μ < 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam

The hypothesis is H0: μ = 25 versus Ha: μ < 25, So option (C) is the correct answer.

What is mean and standard deviation?

Mean is the ratio of the sum of all the observations and the total number of observations in a data set. The standard deviation is a statistic that measures the dispersion of a data set relative to its mean and is calculated as the square root of the variance.

For the above suituation,

There are 20 math questions to be answered in 25 minutes.

After investigation with 35 students, the meantime needed for them is 23.5 and the standard deviation is 4.8.

From the above information, we can say that the hypothesis, H0: μ = 25 versus Ha: μ < 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam.

Hence we can conclude that the hypothesis (C) is the correct answer.

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31. Bethany bought e pieces of Halloween candy that she gave out to her 5 friends. If she
save each friend 3 pieces, write and solve an equation to find how many pieces of candy
Bethany started with

Answers

Answer: C=15 pieces of candy

Step-by-step explanation:

At age 20, William starts a career with a salary of $40,000 and a promise of a yearly raise of 2%. Approximately how much money will he make over 10 years?

Answers

Answer:

8759.78

Step-by-step explanation:

cause by the end of the 10 years he would have 48759.77 minus that by 40,000 you would get 8759.78

Approximately how much money will he make over 10 years is $8,759.78.

Using this formula

Amount=[Principal(1+rate)^t]- Principal

Where:

Principal=$40,000

Rate=2%

Time=10 years

Let plug in the formula

Amount=[$40,000×(1+0.02)^10]-$40,000

Amount=[$40,000×(1.02)^10]-$40,000

Amount=$48.759.776-$40,000

Amount=$8,759.776

Amount=$8,759.78 (Approximately)

Inconclusion approximately how much money will he make over 10 years is $8,759.78.

Learn more here:

https://brainly.com/question/7603664

You are buying decorations for a birthday party. Six rolls of crepe paper and 20 balloons cost $11.90. After you start decorating, you need more supplies. You buy 2 more rolls of crepe paper and 15 more balloons for $6.05.

Answers

Answer: $1.15

Step-by-step explanation:

The question is How much did each roll of crepe paper cost?

Let the cost of crepe paper be x

Let the cost of balloons be y.

Six rolls of crepe paper and 20 balloons cost $11.90. This will be:

6x + 20y = 11.90 ......... i

2 more rolls of crepe paper and 15 more balloons for $6.05. This will be:

2x + 15y = 6.05 ......... ii

6x + 20y = 11.90 ......... i

2x + 15y = 6.05 ......... ii

Multiply equation i by 15

Multiply equation ii by 20

90x + 300y = 178.50 ........ iii

40x + 300y = 121 ........ iv

Subtract iv from iii

50x = 57.50

x = 57.50/50

x = 1.15

Therefore, a crepe paper cost $1.15

One thing you learned about slopes

Answers

Answer:

one thing that I learned about slope is the rise over run and y2-y1 over x2-x1

Step-by-step explanation:

Answer:

That if 2 coordinate points are given we can use the formula of; [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] to find the slope passing through those points

Hope this helps!

Palm Middle School is thinking about changing the flavor of ice cream sold in the cafeteria during lunch. The seventh grade student council members were asked to determine which flavor is the most popular. Of these four sampling methods, which will be most representative of the entire student population? Explain why each method below would or would not be a good choice. A) Ask only the students who currently buy ice cream during lunch. B) Ask only the seventh grade students. C) Ask every third student who walks into the school. D) Ask every student council member.

Answers

Answer: A&C is a good choice ,B and C would not be a good choice

Step-by-step explanation:A&C is a good choice because to determine the most popular, you will need to which flavour the students currently buying favours the most and how popular it really is among the students that even those who don't buy it have heard of the flavour and wish to buy

B and C would not be a good choice because the opinions will be biased and result not well concluded because not all students where considered and those whose opinion really count

5 blue, 3 white, 1 red, 7 green light bulbs in a bag. The probability to pull a blue or red is... ?

Answers

Answer:

2.6

Step-by-step explanation:

The math team at Felix's school includes students from the sophomores, juniors, and senior classes. Felix wants to create a display to show the percent of students on the math team from each class. Which type of graph best represents the data?

a: stem and leaf plot
b: circle graph
c: line graph

Answers

Answer:

B

Step-by-step explanation:

A circle graph also known as a pie chart is used to represent data graphically. the circle graph is made up of a circle that is divided into quadrants. Each quadrants represents different classifications of data and the proportion of each classification.

the sum of angles in a pie chart is 360 degrees while the total percentages is 100%.

If there are 25% of the students in a class each take maths, physics , biology and chemistry, the pie chart would be divided into 4 quadrants with each quadrant measuring 25%

1 and 2 are complementary angles. The measure of 1 is 54 . The measure of 2 is 6(x +1). Find the value of x.

Answers

Answer:

x = 5

Step-by-step explanation:

Complementary angles are two angles that add up to 90 degrees. 90 - 54= 36, so 6(x+1), or 6x+6 = 36. You subtract 6 from both sides to get 6x=30, then divide by 6 on both sides to get x=5. So the answer would be x=5.

Please help my test is this week ;/
The perimeters of a square and a rectangle are equal. One side of the rectangle is 11 cm and the area of the square is 4 cm2
more than the area of the rectangle. Find the side of the square.


The answer is X= 9 cm or X= 13 cm

Answers

Step-by-step explanation:

Let x=one side of the square; y=one side of the rectangle:

The perimeters are equal, so 4x=2y+22, or y=2x-11. The areas are given by x^2, and 11(2x-11). Since the square is 4 cm^2 larger than the rectangle, we get:

x^2-4=11(2x-11)

x^2-4=22x-121

x^2-22x+117=0

(x-13)(x-9)=0

x=13, or 9

Plugging 13 into our original equation, we get a square 13X13 or 169cm^2, and a rectangle (26-11)X 11, or 165cm^2, which satisfies our requirements!!!!!!

I have a two questions..

1. What is the expression for 5 increased by m?

2. Which of the following expressions represents three minus the product of five and p?

a. 5/p - 3
b. 3 - 5/p
c. 5p - 3
d. 3 - 5p

Please answer quickly!
Thank you ❤️

Answers

Answer:

5 + m

d. 3 - 5p

Step-by-step explanation:

What is the expression for 5 increased by m?

5 + m

Which of the following expressions represents three minus the product of five and p?

d. 3 - 5p

Question : Which of these stem and leaf plots would match the histogram data? Justify your answer. ​

Answers

Answer:

fidgety ushering txt scarecrow

HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1/10

hope this helps!!

The scatter plot shows the total number of cookie boxes Julie sold each day as it relates to the number of hours she worked each day. A line of best
fit with the equation y = 5x has been drawn on the scatter plot.

Answers

Answer:

the asnwer is D

Step-by-step explanation:

sheeeeeesh

What does That symbol mean

Answers

Answer:

That symbol is a square root.

Step-by-step explanation:

square root symbol, it means the opposite of squaring something. if i were to square 6 it would be 6x6=36 so it’s asking yxy=24

Find the diameter of the object.

diameter: ___ ft

Answers

Answer:

1.6

Step-by-step explanation: the diameter of an object is half of the radius.

HELP IM GOING TO CRYY!!! Find the total area of the figure below. Round your answer to the nearest tenth.

Answers

Answer:

349.94

Step-by-step explanation:

First u add all the square sides because they all are the same which gives u 196 then u can see there is two half circles which if they add up will be a circle and the diameter is the same as the square sides then if the diameter is 14 then the radius will be 7 becaue 14/2 therefore u use the area of the circle which is

[tex]\pi \times {7}^{2} [/tex]

then u add all the numbers.

help asap need to pass the this

Answers

Answer:

57.5% of the students polled prefer pizza

The second one is the and

A teacher is making gift bags. Each bag is to be filled with pencils and stickers. The teacher has 24 pencils and 36 stickers to use. Each bag will have the same number of each item, with no items left over.

For example, she could make 2 bags with 12 pencils and 18 stickers each.

Answers

Answer:

6 bags with 4 pencils and 6 stickers each.

A painting is 103 centimeters long.

How long would the painting measure in meters?

Enter your answer in the box.

m

Answers

Answer:

Your Ans

1.03

Hope this Helpful

What does the abbreviation CD stand for?

Answers

The abbreviation CD stands for "Compact Disc."

A compact disc is a small, portable, round disc that is used for storing and playing back digital audio, video, and other types of data. It was introduced in the early 1980s as a replacement for vinyl records and cassette tapes.

A CD is made up of a polycarbonate plastic layer that is coated with a reflective metal layer and protected by a clear plastic layer. Information is stored on the disc in the form of tiny pits and lands that are read by a laser beam in a CD player or computer CD-ROM drive.

CDs have a storage capacity of up to 700 MB, which allows for around 80 minutes of audio or several hours of compressed video. They are commonly used for storing music albums, software programs, and other types of multimedia content.

In addition to audio CDs, there are also CD-ROMs (read-only memory), CD-Rs (recordable), and CD-RWs (rewritable). CD-ROMs are pre-recorded discs that cannot be modified, while CD-Rs and CD-RWs can be burned or written with data by the user. CD-Rs can only be written once, while CD-RWs can be erased and re-written multiple times.

Overall, the abbreviation CD refers to the Compact Disc, a versatile medium for storing and playing back digital data.

For more Questions on Compact Disc

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this is solid figure has six equal faces 12 edges and 8 vertices

A.rectangular prism
B.cube
C.cone
D.cylinder​

Answers

Answer:

cube because it has six equal facwes


8 yd
2 yd
What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answers

c=8.2 because of Pythagorean theorem

15 points!!! Find the volumes of these three figures

Answers

Answer:

Its only 6 points...

Step-by-step explanation:

Kaylee obtains a loan with simple interest to buy a car that costs $8,500. If Kaylee pays $1,020 in interest during the four-year term of the loan, what was the rate of simple interest?

Answers

Answer:

The rate is 3 percentage

Harper has $14 in her piggy bank. Her mom pays her $12 for chores. How much does Harper now have in the piggy bank?

Answers

Answer:

26

Step-by-step explanation:

14+12=26

1+1=2

4+2=6

Answer:

$26

Step-by-step explanation:

Here is the explanation for this problem.

Harper Starts off with 14 in her piggy bank, then gets payed for chores ($12)

14+12 =26

(Simplfying It down)

10 + 10 = 20

4 + 2 = 6

20 + 6 = 26

Her total amount of money is $26

(Hope this helps luv)

-TheAnimeCatUwU

PLEASE HELP ME WITH THIS I DONT PAY ATTENTION LOL BUT HELPPP

Answers

Answer:

down ⬇⬇⬇

Step-by-step explanation:

5. its all of them so just write A, B, C, D, E, F, G

6. (equilateral) triangle, right triangle, diamond (?), parallelogram

7. C and E; A and B

8. not so sure about this one but i think its regular

9. its not a polygon because polygons have straight sides, and this figure does not.

10. the only polygon is C

pay attention in school, it'll help in the long run. even if it sounds boring, it will come in handy one day!!

hope this helped <33333

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