Mathematics College

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Answers

Answer 1

Answer:

A) 1 : 4

B) 1 : 2

C) Base of M = 10 units

Step-by-step explanation:

The ratio of the area of triangle M to triangle N

[tex] \frac {40}{160}= \frac{1}{4} = 1 : 4[/tex]

The ratio of the side lengths of triangle M to triangle N

[tex]\sqrt{ \frac {40}{160}} = \sqrt{\frac{1}{4}} \\\\={\frac{1}{2}} \\\\

=1 : 2[/tex]

C) Let the base of triangle M be b units.

[tex] \sqrt{ \frac {40}{160}} = \frac{b}{20}\\\\

\frac{1}{2}= \frac{b}{20}\\\\

2b = 20\\\\

b = \frac{20}{2} \\\\

b = 10[/tex]

Related Questions

in the figure, △ABC is similar to △DEF. what is m∠1

Answers

Answer:

C. 139°

Step-by-step explanation:

Given:

m<A = 62°

m<B = 77°

Required:

Find m<1

Solution:

Since ∆ABC is similar to ∆DEF, therefore:

<A ≅ <D, which means m<D = 62°

<B ≅ <E, which means m<E = 77°

<C ≅ <F

Therefore, based on exterior angle theorem:

m<1 = m<D + m<E

m<1 = 62° + 77° (substitution)

m<1 = 139°

Amy's penny bank is 1/4 full. After she adds 240 pennies, it is 5/8 full. How many pennies can Amy's bank hold?

Answers

The penny bank can hold 640 pennies

If you would like me to show how I got it I can

Will make you brainliest!!! If correct!!

Answers

Answer:

Step-by-step explanation:

y = - [tex]\frac{1}{4}[/tex] x + 3 ( equation of line t )

y - (- 2) = - [tex]\frac{1}{4}[/tex] [ x - (- 2)] ⇒ y = - [tex]\frac{1}{4}[/tex] x - [tex]\frac{5}{2}[/tex] ( equation of line u )

Solve the equation.
2(x + 5) = 2x – 3

Answers

Answer:

2(x+5)=2x-3

2x+10=2x-3

2x-2x= -3-10

0= -13

Step-by-step explanation:

The low temperature for 5 days was -5° -7° -29.29 and -3°. What was the average low temperature for those
days

Answers

about -4° i think, i apologize if i’m incorrect, i haven’t done this in a while

Drag the missing statements and reasons to the correct spot to complete the proof

Answers

Answer:

See attached

Step-by-step explanation:

Answer is attached

What is the formula for the area of a square?

Answers

Answer:

Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)

Answer:

lxwxtor you can up it in the calculator

si el dominio de la función f(x)= 3x-2 es el conjunto {1,2,3} y su contradominio es el conjunto {1,4,7,10}. ¿Cuál es el rango de la función?

Answers

Answer:

I don't speak Spanish sorry

What strategy can you use to solve rate problems?

Answers

Draw a diagram , wrote down given information and unknown find equation that relates various quantities of the problem and differ nitrate using the chain rule ( differentiate )

I need a lot of help

Answers

Answer:

Step-by-step explanation:

Point A is located at (0, 7). After it is transformed, point A' is located at (0, -7). How was the point transformed?
it was reflected in the x-axis
it was rotated 270°
it was reflected in the y-axis
it was rotated 90° around the origin

Answers

Answer:

it was reflected over the x axis

Step-by-step explanation:

.......

A vitamin C tablet contains 1/4
of a gram of vitamin C. You take 1 1/2
tablets every day. In simplest form, how many grams of vitamin C do you take every day?

Answers

Answer:

3/8 grams

Step-by-step explanation:

1 tablet ⇒ 1/4 grams

Multiply the amount of tablets by 1/4 to find the answer

1 1/2 tablet ⇒ 1 1/2 *1/4 = 3/2 * 1/4 = 3/8 grams

Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is 5.5% of the selling price. How much commission will the salesperson earn by selling a couch for $495?

a
$20, 5.5% of 495 is 20.
b
$19.08. 5.5% of 495 is 19.08.
c
$27.23, 5.5% of 495 is 27.225.

Answers

Answer:

Step-by-step explanation:

The answer is $27.23 for the commission

Work out problem:

495×5.5%=27.225

So you round that off to 27.23

When working with a problem with percentages, you always multiple to figure out how you got your and what is your answer.

Yoooo who’s smart I need help in this ASAP

Answers

3^3 That Check Mark 1/3 Was The Answer I Got , Sorry Of It’s Wrong

Answer:

3[tex]\sqrt[9]{Z}[/tex]²

Step-by-step explanation:

Expression -

(27[tex]\sqrt[3]{Z}[/tex]²) ^1/3

Transform the expression -

³[tex]\sqrt[3]{27}[/tex][tex]\sqrt[3]{Z}[/tex]²

Simplify - //Note: ignore the ' * '//

3[tex]\sqrt[3]{*}[/tex][tex]\sqrt[3]{z}[/tex]²

Simplify (Again) -

3[tex]\sqrt[9]{Z}[/tex]²

Triangle ABC is an isosceles right triangle. What is the measure of one base angle?
30°
45°
60°
90

Answers

Answer:

is B 45

Step-by-step explanation:

;)

hope this helps

The measure of base angle of the isosceles right angle triangle is 45°.

What is a right angle triangle?

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.

Given that,

Triangle ABC is an isosceles right angle triangle.

In an isosceles triangle, two sides are equal and corresponding angles are equal.

Let the corresponding angles are α and α.

Since, one angle of right angle isosceles triangle is 90°.

Also, the sum of angles of triangle is 180°

Implies that,

α + α + 90 = 180

2α = 180 - 90

2α = 90

α = 45

The required value of angle α is 45°

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Vedant received two quotes for new carpet for his home. The quote from Company A is $0.15 less per square foot than the quote from Company B. If Vedant plans to buy 1,200 square feet of carpet, how do his total costs from the two companies compare?
Company A is cheaper by $180.

Company B is cheaper by $180.

Company A is cheaper by $8,000.

Company B is cheaper by $8,000.

Don’t make any funny jokes about this and don’t say idk or something like that or I’ll report you.

Answers

Answer:

Company B is cheaper by $180.

Step-by-step explanation:

just do 1,200 square feet x 0.15 = 180

Answer:

b as in big cat

Step-by-step explanation:

a corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56 anithert vendor was selling a bad of 12 for 4.32. which bag is the better deal?

Answers

you have to find out how much money each bag would be.
2.56/8 = 0.32
4.32/12 = 0.36
8 ears of corn is thebetter deal

which statements can be used to write an algebraic expression to represent the phrase? ( The product of number and eighteen )

check all that apply:
A. replace a number with a variable?
b. product represents addition
c. product represents multiplication?
d. the coefficient is 18.
e. the correct algebraic expression is 18t.
f. 18 is a veritable.
g. the correct algebraic expression is t/18.

Answers

Answer:

a e f and g I think this because it has to be then they say that then ya

Write a multiplication expression without exponents that is equivalent to 3^4

How many factors of 3 did you write?

Answers

Answer:

Answer: 3⁴ = 3×3×3×3

3⁴ means multiply four threes together.

Step-by-step explanation:

Answer:

Step-by-step explanation:

You just needed to Multiply maning the three, 4 times

Find the 10th term in a sequence whose general term is an = n2 – 8. Question 7 options: A) 92 B) 108 C) 12 D) 113

Answers

Answer:

Step-by-step explanation:

The 10th term in a sequence whose general term is [tex]a_n = n^2 - 8[/tex] will be 92. so option A is correct.

What is arithmetic sequence?

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a + 2d, ... , a + (n+1)d, ...

Its nth term is

T_n = a + (n-1)d

(for all positive integer values of n)

And thus, the common difference is

T_{n+1} - T_n

for all positive integer values of n

We need to find the 10th term in a sequence whose general term is

[tex]a_n = n^2 - 8[/tex].

So, the 10th term is (10)²- 8

= 100 - 8

= 92

Therefore, the 10th term in a sequence whose general term is

[tex]a_n = n^2 - 8[/tex] will be 92. so option A is correct.

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Besides 95 and 1, what is one factor of 95?

Answers

Answer:

Step-by-step explanation:

The altitude (i.e., height) of a triangle is increasing at a rate of 1.5 cm/minute while the area of the triangle is increasing at a rate of 3.5 square cm/minute. At what rate is the base of the triangle changing when the altitude is 10 centimeters and the area is 86 square centimeters? The base is changing at cm/min.

Answers

Answer:

-1.88cm/min

Step-by-step explanation:

Given

dh/dt = 1.5cm/min

dA/dt = 3.5cm²/min

Height h = 10cm

Area A = 86cm²

Required

db/dt

b is the base

h is the height.

Area of a triangle A = 1/2bh

dA/dt = dA/db•db/dt + dA/dh •dh/dt

dA/db = h/2 = 10/2 = 5cm

Get the base

86 = 1/2(10)b

5b = 86

b = 17.2cm

dA/ dh = 1/2b = 1/2(17.2)

dA/dh = 8.6cm

.substitute given values into the formula above;

dA/dt = dA/db•db/dt + dA/dh •dh/dt

3.5 = 5 db/dt + 8.6(1.5)

3.5 = 5 db/dt + 12.9

5 db/dt = 3.5-12.9

5 db/dt = -9.4

db/dt = -9.4/5

db/dt = -1.88cm/min

Hence the base is changing at -1.88cm/min

True or False 2 is a root of x^6-9x^4+24x^2-16=0 two times

Answers

Answer:

True

Step-by-step explanation:

No need for explanation

i’m really tired and don’t feel like doing these math expressions, giving brainliest to whoever answers correctly.

Answers

Answer:I believe the answer is the second one.

Step-by-step explanation:

Write the equation of a line that is parallel to x = -7 and
passes through (-1,8)

Answers

Answer:

y=-7x+1

Step-by-step explanation:

R=14 pie=3.14 round to the nearest hundreths

Answers

Answer:

Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The way you wrote it, it is already rounded.....

The value I remember for pi is 3.14159. This is rounded to the nearest 10-thousandth. Another way of saying the same thing is that it is "rounded to 5 decimal places".

pi--rounded off in decreasing precision:

3.14159

3.1416

3.142

3.14

3.1

Watch out for a trap in rounding:

Suppose I start with 5.49. To the nearest 10th, it would be 5.5. To the nearest whole digit, it is 5, not 6. If the original number were 5.51, then rounded to the nearest whole digit would be 6.

At the end of summer clearance sale Nathan sees a hat market at 65% off the original price was $12.98 after the discount what is the final price of the hat round your answer to the nearest cent

Answers

Answer:

$4.54

Step-by-step explanation:

Because if you take $12.98 and multiply that by 65% you will get 8.437 and when you subtract that by the original amount you will get $4.54.

The high temperature for the day is 28°F. The record low for the day was -12°F. What is the difference in temperature?

Answers

Answer:

Step-by-step explanation:

12 + 28

Answer:

40°

Step-by-step explanation:

So the highest is 28 and the lowest is -12. First, you get to zero so 28-28=0 then, to get to -12 you do 0-12= -12. Then I added 28+12 :D

What is 4 ÷
3
5
pls help me i am time

Answers

Answer: 1.25 and .8

Step-by-step explanation:

Answer:20 over 3

Step-by-step explanation:

there are 23 people attending a luncheon if a table can hold three people how many tables do they need

Answers

Answer:

Step-by-step explanation:

Answer:

8 tables

Step-by-step explanation:

23 isn't a multiple of three but 24 is

24/3 = 8

They need eight tables. One table will have only two people sitting at it instead of three

Other Questions

CAN SOMEONE PLEASE HELP WILL GIVE BRAINLIEST What is the meaning of the stem word chlor? what was the name given to the first computer (machine) language what is electorial college What reasons do people have for protecting the environment? hiiiiiiiii!!!!!!!! ______-_- Why did the population of China decline during the last two centuries of Han rule? Moses is solving the problem below.A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.Look at the table below. StepsMosess workStep 11 dollar and 60 cents (1.6) = 2 dollars and 56 centsStep 22 dollars and 56 cents (0.80) = 2 dollars and 5 centsStep 32 dollars and 5 cents (3) = 8 dollars and 20 centsStep 48 dollars and 20 cents (1.08) = 8 dollars and 86 centsIn which step did Moses first make a mistake in his work?Step 1Step 2Step 3Step 4 Saba and Hena saved up Rs. 81.75 and Rs 45.25 respectively to buy a gift forMothers Day. How much money in all have the sisters set aside for the gift? I dont know the answer Someone pls help What is the image point of (-1,1)(1,1) after a translation right 2 units and down 1 unit? Read the sentence. He spends a great deal of time studying and completing his homework. In this sentence, "he is a reflexive pronoun. reciprocal pronoun. subjective pronoun. possessive pronoun. Pleaseee helpppp! !!What is the mood of the following quote?The tyrant regarded her, for some moments, in evident wonder at her audacity. He seemed quite at a loss what to do or say-how most becomingly to express his indignation. At last, without uttering a syllable, he pushed her violently from him, and threw the contents of the brimming goblet in her face.Group of answer choicesFearful and scaryGloomy and upsettingLonging and forlornDetermined and willing TRUE OR FALSE QUESTIONS1) ___________________________ The physical properties of metals includedullness, malleability, ductility, and conductivity.2) ___________________________ Neutrons have a negative charge.3) ___________________________Mendeleev was known as the father of theperiodic table. Rachel's school play started at 9:20 AM.It lasted 2 hours and 10 minutes.What time did the play end? PLEASE HURRY!!In the time that it takes Car 1 to travel 93 km, Car 2 travels 111 km. If the average speed of Car 2 is 12 km/hour faster than the speed of Car 1, then what is the speed of Car 2? Write and solve a proportion What was the primary difference between the Iranian and Iraqi armies? Which form of energy does Theodore Roosevelt Lake have as the water collects in thereservoir behind the dam?A.heatB.mechanical kineticC.mechanical potentialD.solarExplain why SOMETHING I DONT UNDERSTAND! My sis told me she was on her perio d but then I told her there was this thing called subject and predicate and how she isnt supposed to have a period at the end of her statement because it wouldnt make any sense... and ya, it didnt go well cause' she put on a tantrum. But the weird thing is that Google said this "Tantrums are most common between the ages of one and four, then decrease when children start school." SO HOW COME I DIDN"T HABE A TANTRUM!! life makes no sense Which phrase has the most negative connotation? A brief response , a concise response , a terse response?

I WILL MARK BRAINIEST PLEASE HELP ASAP ITS DUE

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I WILL MARK BRAINIEST
PLEASE HELP ASAP ITS DUE