the base of a triangle is four more than twice its height. if the area of the triangle is 45 square centimeter., find its base and height​

Answers

Answer 1

Answer:

Step-by-step explanation:

triangle area = (length*width)/2

height(length): x

base(width): 8x

area = 45

8x^2=45

solve for x


Related Questions

Simplify (6x ^ 2 + 11x - 3) + (2x ^ 2 - 17x - 4) . (1 point)
1 ) 8x ^ 2 + 6x - 1
2) 8x ^ 2 - 6x - 7
3 ) 8x ^ 2 + 6x + 1
4 ) 8x ^ 2 - 6x + 7

Answers

Answer:

2) 8x^2 -6x-7 hope this helps

Describe 3 types of maps

Answers

Answer:

population-amount of people per sq ft

climate- the average climate in that are

physical- elevation, landmarks,

Step-by-step explanation:

How do you simplify −7(2x−11)

Answers

Answer:

−7(2x−11)

use distributive property

-7(2x)-7(-11)

-14x+77

Answer:

-14x + 77

Step-by-step explanation:

-7(2x-11)

= -14x + 77

Ashley can run 12 miles in 2 hours. At this rate, how many minutes does it take Ashley to run 1 mile?

Answers

Answer:

10 minutes

Step-by-step explanation:

If you divide both sides by 2 you get 6 miles and 1 hour.

Divide it again by 2 and you get 3 miles and 30 minutes.

Divide that by 3 and you get 1 mile in 10 minutes.

It takes 10 minutes for Ashley to run 1 mile.
12 miles / 12 miles = 1 mile
2 hours equals 120 minutes
120 minutes / 12 miles = 10 minutes per mile

1. A local pizzeria sold 70 pizzas yesterday.

(a) The owner offers the employees a bonus if the number of pizzas sold increases by 30% today. How many pizzas must the pizzeria sell for employees to receive the bonus?



2. A certain TV can be purchased from the manufacturer for $150. A certain online retailer has a standard markup of 30%, and a certain superstore has a standard markup of 40%.

(a) What is the price of the TV when purchased online?

(b) What is the price of the TV when purchased at the superstore?



3. You have saved $140 for a new pair of skis. They have a regular price of $189. They have been reduced by 30%. There is a 13% tax as well.

a. What is the discount?

b. What is the new price?

c. What is the tax?

d. What was the total price of the shoes, after the discount and tax?

e. Do you have enough money? Please explain in a complete sentence

Answers

Answer:

1. 91 = 70*1.30

2a. 195= 150*1.30

2b. 210 = 150*1.40

3a.  56.70 = 156* .30

3b.  132.30 = 156-56.70

3c.  17.20 = 132.30 *0.13

3d.  149.50 = 132.30+17.20

3e. You do not have enough money, because you need $9.50 more.

Step-by-step explanation:

good luck

Question 1:

70 x 1.30 is 91 - 70 is equal to 21 pizzas, they would have to sell 91 total pizzas, which is 21 more than what was sold the previous day

Question 2:

Both parts are solved below:

Step-by-step explanation:

Given:

Purchase price = 150

Part A

As the online trailer marks up 30% so the price would be:

= 150 + 30% of 150

=150 + 0.3(150)

= 150 + 45

Price online= $195

° ♡ ₒ ♡ °

Part B

As the superstore marks up the price by 40% so the price would be:

= 150 + 40% of 150

=150 + 0.4(150)

= 150 + 60

Price at superstore = $210

° ♡ ₒ ♡ °

Difference

Difference = price at superstore - price online

Difference = 210 - 195

Difference = $15

Difference in markup = 40% - 30% = 10%

So a 10% difference leads to the difference of $15 in price.

Find the general solution of the given system. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the system

Answers

Answer:

hello your question is incomplete attached below is the complete question and solution

answer :  general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]

Step-by-step explanation:

attached below is the detailed solution to determine the general solution of the given system

general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]

Which represents a function? Edge 2020.

Answers

The data set {(-8,-2),(-4,1),(0,-2),(2,3),(4,-4)} represents a function because for every distinct input x has only one output y, whereas all the other data sets have at least one point of x in which has two or more outputs of y.

A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample mean?

Answers

Answer:

[tex]S.E = 2[/tex]

Step-by-step explanation:

Given

[tex]Mean = 40[/tex]

[tex]s^2 = 64[/tex] ----- variance

[tex]n = 16[/tex] ------------ sample

Required

Determine the S.E

The estimated standard error (S.E) for the sample mean is calculated using the following formula:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

Where

[tex]SD = Standard\ Deviation[/tex]

[tex]SD = \sqrt {s^2}[/tex]

[tex]SD = \sqrt {64}[/tex]

[tex]SD = 8[/tex]

So:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

[tex]S.E = \frac{8}{\sqrt{16}}[/tex]

[tex]S.E = \frac{8}{4}[/tex]

[tex]S.E = 2[/tex]

Hence: the estimated standard error for the sample mean is 2

can someone help me plsssss :( 20 ᴘᴏɪɴᴛs !

Answers

a.) m = -1

b.) m = 0

c.) m = undefined

d.) m = 1/2

Answer (bolded part is slope):

a.) y = -x + 2 (slope = -1)

b.) y = -2 (slope = 0)

c.) x = 3 (slope = undefined)

d.) y = [tex]\frac{2}{3}[/tex]x + [tex]\frac{3}{2}[/tex] (slope = 2/3)

Find all solutions to the system:
5x-3y=2,
15x+6y=6

Answers

Answer:

2/5   0

Step-by-step explanation:

whats 2+2 brainliest

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Could you form a triangle either side lengths of 1 inch 2 inch and 3 inch

Answers

Answer:

no

Step-by-step explanation:

No, a triangle cannot be constructed with sides of 2 in., 3 in., and 6 in. For three line segments to be able to form any triangle you must be able to take any two sides, add their length and this sum be greater than the remaining side.

What are 25 times by the same number then divide it by sixty

Answers

25(25) = 625

625/60 ≈ 10.4166

Or when rounded to the nearest hundredth, 10.42

Turkey A: $10.35 for a 15lb

Turkey B: $11.80 for 20lb

Turkey C: $9.48 for 12lb

Determine which turkey would be best for you to buy. Find the unit price of each, then pick a turkey and explain why you choose that turkey. ​

Answers

light stand for knowledge in the poem

Answer:

light stand for knowledge in the poem

Step-by-step explanation:


Anyone???

Mathematics

Answers

The slope is rise over run
The rise is 1
The run is 2
So the slope would be 1/2

The price of one share of a stock fell 4 dollars each day for 8 days. How much value did one share of the stock lose after 8 days?

Answers

Answer:

After 8 days, the stock lost 32 dollars.

Step-by-step explanation:

If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.

Given: TriangleSTU with Line segment S T is parallel to line segment X Y Prove: StartFraction S X Over X U EndFraction = StartFraction T Y Over Y U EndFraction Triangle S T U is cut by line segment X Y. Line segment X Y goes from side U S to side U T. Angle U Y X is 1, angle Y X U is 3, angle U T S is 2, and angle T S U is 4. Complete the steps of the proof. ♣: ♦:

Answers

Answer:

1:C Triangle STU is similar to triangle XYU

2:B subtraction property

Step-by-step explanation:

i just did the test

Applying the AA similarity theorem, the missing parts of the proof are:

Triangle STU is similar to triangle XYUSubtraction property

What is the AA Similarity Theorem?

According to the AA similarity theorem, if two triangles have two corresponding congruent angles, then both triangles are similar.

In the proof given, triangles STU and XYU have two pairs of corresponding angles that are congruent, therefore, triangle STU is similar to triangle XYU by AA similarity theorem.

Also, subtraction property was applied in the proof. Thus, the missing parts of the proof are:

Triangle STU is similar to triangle XYUSubtraction property

Learn more about the AA similarity theorem on:

https://brainly.com/question/21247688

#SPJ9

mrs. wilkerson cut some oranges into 20 equal pieces to be shared by 6 friends how many pieces did each person get and how mant pieces were left over

Answers

Answer:

Each friend would get 3 slices and there would be 2 slices left over.

A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200) is 30% in children 2-6 years of age. If 12 children are analyzed.

Required:
a. What is the probability that at least 3 are hyperlipidemic?
b. What is the probability that exactly 3 are hyperlipidemic?
c. How many would be expected to meet the criteria for hyperlipidemia?

Answers

Answer:

(a) 0.7472

(b) 0.2397

(c) 3.6

Step-by-step explanation:

Let X denote the number of children who are hyperlipidemic.

The proportion of children who are hyperlipidemic is, p = 0.30.

A random sample of n = 12 children are analyzed.

Every child is independent of the others to be expected to meet the criteria for hyperlipidemia.

The random variable X follows a binomial distribution with parameters n = 12 and p = 0.30.

(a)

Compute the probability that at least 3 are hyperlipidemic as follows:

[tex]P(X\geq 3)=1-P(X<3)\\\\=1-\sum\limits^{2}_{0}{{12\choose x}(0.30)^{x}(0.70)^{12-x}}\\\\=1-0.25282\\\\=0.74718\\\\\approx 0.7472[/tex]

Thus, the probability that at least 3 are hyperlipidemic is 0.7472.

(b)

Compute the probability that exactly 3 are hyperlipidemic as follows:

[tex]P(X=3)={12\choose 3}(0.30)^{3}(0.70)^{12-3}\\\\=220\times 0.027\times 0.040353607\\\\=0.23970042558\\\\\approx 0.2397[/tex]

Thus, the probability that exactly 3 are hyperlipidemic is 0.2397.

(c)

Compute the expected number of children who would meet the criteria for hyperlipidemia as follows:

[tex]E(X)=np=12\times 0.30=3.6[/tex]

Thus, 3.6 children would be expected to meet the criteria for hyperlipidemia.

I neeed help plz 30 points

Quadrilateral NATS has coordinates N(-4, -3), A(1, 2), T(8, 1), and S(3, -4). Prove that quadrilateral NATS is a rhombus. Give your statement with the equal distances. Remember to identify the sides.

Answers

Answer:

Step-by-step explanation:

NA = √[(- 4 - 1 )² + (- 3 - 2)²] = 5√2

AT = √[(8 - 1 )² + (1 - 2)²] = 5√2

TS = √[(3 - 8 )² + (- 4 - 1)²] = 5√2

NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2

NA = AT = TS = NS = 5√2

[tex]m_{NA}[/tex] = (- 3 - 2) / (- 4 - 1) = 1 ........ (1)

[tex]m_{TS}[/tex] = (- 4 - 1) / (3 - 8 ) = 1 ......... (2)

From (1) and (2) ⇒ NA║TS

[tex]m_{AT}[/tex] = ( 1 - 2) / ( 8 - 1) = - 1 / 7 .......... (3)

[tex]m_{NS}[/tex] = ( - 4 + 3) / ( 3 + 4) = - 1 / 7 .... (4)

From (3) and (4) ⇒ AT║NS

Thus, NATS is rhombus.

Michelle works in the mall and her hours increase during busy shopping times of the year. Michelle has a plan to
save $45 each week for 7 weeks, and then increase that amount by $30 for the next 8 weeks during the busy time,
then go back to $45 per week. If Michelle's plan is to save $1185, how many weeks total will she need to save?
Show your work
12
II

Answers

Answer:

The total number of weeks Michelle needs to save is 29.

Step-by-step explanation:

Michelle plans to save $1185 in a number of weeks to determine later.

In the first 7 weeks, she will save $45 each week for a total of

$45 * 7 = $315

In the next 8 weeks, she will save $30 each week for a total of:

$30 * 8 = $240

During these 15 weeks, she has saved

$315 + $240 = $555

She still has a remaining $1185 - $555 = $630 to save.

Those $630 will be saved in a number of weeks at $45 per week, thus the number of weeks is:

$630 / $45 = 14 weeks

Total weeks = 15 + 14 = 29

The total number of weeks Michelle needs to save is 29.

HELP PLS A carnival charges $2.50 per ride after an entrance fee.You paid a total of $22.50 after 6 rides.Find the total cost for 15 rides.

Answers

The cost of the entrance would be 7.5$, because 2.50$ x 6 equals 15.

Let’s multiply 6 x 2 to get twelve, and if six rides are 15$, that would be 30$ for twelve rides. But we still have three more.

2.50 x 3 would be 7.5$, and if we add that to 30$, we would get 37.5$.

With entry fee though, we would add 37.5$ to
7.5$, and so it would be 45$ on the dot.

Your answer would be 37.5$ without entry fee, and 45$ with entry fee.

If this helped.. please do me a favor and mark this as the Brainliest! :))

Which of the following equations could be used to solve the given equation?
9x + 26 + 7x - 17 = 2x + (-3x) + 5x
16x + 9 = 4x
16x + 11 = 4x
16x + 9 = 0

Answers

Answer:

16x + 9 = 4x

Step-by-step explanation:

9x+7x+26-17=2x-3x+5x
16x+9=4x

168 students enrolled in a freshman-level chemistry class. By the end of the semester, 5 times the number of students passed as failed. Find the number of students who passed.

Answers

Answer:

33.6

Step-by-step explanation:


Find the amount that results from investing $5000 at 3% compounded continuously for 5 years. Round your
answer to two decimal places.

Answers

Answer:

The amount that results from investing $5000 at 3% compounded continuously for 5 years is $5800

Step-by-step explanation:

We are given:

Principal Amount (P) = $5000

Years (t) = 5

Rate (r) = 3% or 0.03

We need to find New Amount (A)

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Since amount is compounded continuously so n=1

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.03}{1})^{1*5}\\A=5000(1+0.03)^5\\A=5000(1.03)^5\\A=5000(1.16)\\A=5800[/tex]

So, New Amount (A) = $5800

The amount that results from investing $5000 at 3% compounded continuously for 5 years is $5800

What is the base in the expression 4 superscript 5?
A)4 B)5 C)9 D)20

Answers

Answer:

A)4

Step-by-step explanation:

Expression 4 superscript pt 5=4^5

Answer:

A

Step-by-step explanation:

Factor by Grouping
2y2 + 7yz + 5z2

Answers

Here you go! Hope this helps



HELP PLEASE IM BEGGING YOU

Which equation is a point slope form equation for line AB?
Oy-3=2(x - 2)
Oy-6=2(x - 5)
Oy-5=2(x - 6)
Oy+2=2(x+3)

Answers

Answer:

y-6=2(x-5)

I hope this is good enough:

HELP PLZZZ i need it plz

Answers

Pretty messy but hope it helps

1. Solve 2x < 10. Explain how to find the solution set. I need help with this question.

Answers

x > 5

Explanation: When you divide/multiply an inequality, you ALWAYS flip the sign.
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