The base of a triangle is 7 inches more than its height. If the area of the triangle is 39 square inches, find the base and height of the triangle
The height of the triangle is

Answers

Answer 1

Answer:

the height of the triangle is 6 inches and the base is 7 inches greater, or the base is 13 in

Step-by-step explanation:

The general area-of-a-triangle formula is A = (1/2)(base)(height), or  = (1/2)bh.

Here b = h + 7.

Applying the area formula given above:  A = 39 in^2 = (1/2)(h + 7)(h), or

78 in^2 = h^2 + 7h,

Rewriting this, in standard quadratic form, we get h^2 + 7h - 78 = 0

                                                                             -7 ± (49 - 4[1][-78])

Applying the quadratic formula to find h:   h = ----------------------------

                                                                                          2

           -7 ± (49 + 312)        -7 ± 19

or h = ----------------------- = ------------- = {-13, 6}

                      2                       2

Discard the negative 13 root; the height must be a positive quantity.

Thus, the height of the triangle is 6 inches and the base is 7 inches greater, or the base is 13 in


Related Questions

Write the equation of the line that passes through (-2, 4) and is perpendicular to x = 3.

Answers

Check the picture below.


18 In the arithmetic sequence 4, 7, 10, 13, the ---BLANK--- is 3.

what is blank

Answers

Answer:

I don't understand

Step-by-step explanation:

Like How

Question
Given that the market basket for gardening was $\$131.17$ last year and $\$131.96$ this year, what was the inflation rate?
(Round your answer to the nearest hundredth of a percent.)

Answers

Answer:

0.006%

Step-by-step explanation:

minused old price from the new one and then divided the answer by the old price

PLEASE ANSWER THESE ASAP WITHIN THIS HOUR!
80 is what percent of 400?
a. Base
b. Rate
c. Percentage

16% of what number is 56?
a. Base
b. Rate
c. Percentage

16% of what number is 56?
a. Base
b. Rate
c. Percentage
Thank you for your help <33

Answers

Answer:

♦ 80 is what percent of 400?

a. Base

b. Rate

c. Percentage

Answer: b. Rate

Solution:-

80 = x% of 400x% × 400 = 80x/100 × 400 = 804x = 80x = 80/4x = 20

80 is 20% of 400 ( the rate is the percent)

♦ 16% of what number is 56?

a. Base

b. Rate

c. Percentage

Answer: a. Base

Solution:-

16% of x = 5616/100 × x = 5616x/100 = 5616x = 56 × 100x = 5600/16x = 350

16% of 350 is 56 (The base is the amount which you're taking a percent of)

the length of the house is 1,200 feet and 1,100 feet wide. what is the perimiter

Answers

Answer:

4,600

Step-by-step explanation:

1,200+1,200+1,100+1,100

Let’s say the house is a perfect rectangle. Then you would take all 4 sides and add them to find the perimeter. 1,200+1,100+1,200+1,100. Rectangles have 2 parallel sides, so the length and the width would be the same for both sides. The answer is 4,600 feet.

In a raffle 1000 tickets are being sold, at $1 each. The first prize is $100, and there are 3 second prizes of $50 each. How much does the price of the ticket exceed the expected value

Answers

Answer:

The price of of the ticket exceeds its value by $ .75

Pls sove brailest will be given

Answers

Answer:  6a3b3

Step-by-step explanation:

Reformatting the input:

Changes made to your input should not affect the solution:

(1): "0.6" was replaced by "(6/10)".

STEP 1:

Equation at the end of step 1

       6

 0-(((——•(a2))•b)•(0-(2•5ab2)))

      10

STEP 2:

           3

Simplify   —

           5

Equation at the end of step 2:

         3

 0 -  (((— • a2) • b) • ( -2•5ab2))

         5

STEP 3:

Equation at the end of step 3

        3a2

 0 -  ((——— • b) • ( -2•5ab2))

         5

STEP 4:

Multiplying exponential expressions :

4.1    a2 multiplied by a1 = a(2 + 1) = a3

Multiplying exponential expressions :

4.2    b1 multiplied by b2 = b(1 + 2) = b3

Canceling Out:

4.3      Canceling out  5  as it appears on both sides of the fraction line

Equation at the end of step 4:

 0 -  -6a3b3

STEP 5:

Final result :

 6a3b3

Evaluate the expression.
8P2

Answers

Answer:

8×100+P×10+2×1

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The evaluation would be 8•P•2 because when there are numbers and variables next to each other in a non-digit form, the operation is multiplication.

Can someone help plz

Answers

Problem 1

The price for one super skateboard is £75.00 which is found in cell C8. When it comes to excel spreadsheets, we always read across the top first before reading the left hand side. So the format is columnRow which may seem strange if you're used to reading the row first.

Right next to cell C8 is D8 and that's the number of super skateboards sold (26 of them). Multiply the unit price by the number of units sold to get the revenue for this particular type of item.

75*26 = 1950

Now the question is: what if the company sells more than 26 skateboards? Let's say there was an error and 30 boards were sold. To quickly recompute the correct answer, we can rely on references rather than hardcoded values.

Typing out [tex]=C8*D8[/tex] will compute the multiplication of items C8 and D8. The equal sign out front is very important. It tells the spreadsheet program that you want to do this type of operation (rather than just write out plain text). If you were to simply type in C8*D8 without the equal sign, then the result is exactly C8*D8 without filling in the variables.

Answer is     =C8*D8

Don't forget about the equal sign out front

===========================================================

Problem 2

Like before, we'll have an equal sign as the first thing we type in. Then we'll type in Sum(E5:E14) to sum of the values from E5 to E14. You could type in Sum(E5,E6,E7,E8,E9,E10,E11,E12,E13,E14) or you could type in E5+E6+E7+E8+E9+E10+E11+E12+E13+E14; however, that would be a tedious approach prone to error. The spreadsheet program interprets the colon as a way to fill in the gap from start to end. We start at E5 and end at E14, and add up everything in between.

Note that all the cells referenced are the various revenues for each type of item. Each of these cells is computed by multiplying the C and D column items.

Answer is    =Sum(E5:E14)

Don't forget about the equal sign out front

===========================================================

Problem 3

There are a few other alternatives, but your teacher might be talking about adding each item one at a time. Refer to problem 2 for more info.

Answer is    =Sum(E5,E6,E7,E8,E9,E10,E11,E12,E13,E14)

Or

Answer is   =E5+E6+E7+E8+E9+E10+E11+E12+E13+E14

Don't forget about the equal sign out front

===========================================================

Problem 4

Answer:  96 pounds

Explanation: Simply pick out the smallest item. The excel command is "min" and you provide it a list of values to pick from. In this case, that list being E5:E14 to represent E5,E6,...,E13,E14. So you'll type in =Min(E5:E14) similar to what you did for the "sum" command.

===========================================================

Problem 5

Answer:  1950 pounds

Explanation: As you can probably guess, the "max" function is used here. It picks out the largest value of a list. The command is =Max(E5:E14)

===========================================================

Below I've attached two images. Figure 1 shows the commands to type in, while figure 2 shows the result of each command. In other words, it's the before and after. I used LibreOffice spreadsheet, but this applies to any spreadsheet program as they all tend to follow the same idea.

Use the drop-down menus to complete each statement to show why 5sqrt(7) is between 10 and 15.

Answers

Answer:

First drop down: √4 and √9

Second drop down: 2 and 3

Third drop down: 10 and 15

Step-by-step explanation:

the root of four is 2

the root of nine is 3

thus √ 7 is between 2 and 3

5√7 is between 10 and 15 because 2x5 is 10 and 3x5 is 15.

Classify the quadrilateral, Explain your reasoning. Thank you!!

Answers

Answer: y=7, x=2

Step-by-step explanation:

∠Q+∠P=180° (∠s between 2 // lines)

97°+(12y-1)°=180°

12y-1=83°

12y=84

y=7

5x+6=8x (Iso triangle)

x=2

Which graph represents a proportional relationship?

Answers

Answer:

The one shown in the photo

Step-by-step explanation:

A proportional relationship is one in which the relationship increases steadily, which looks like a straight line when graphed. Also, the line should pass through the origin, which is the point (0, 0) on a graph.

The graph shown increases steadily (it's a straight line), and passes through the origin (point 0,0) as well. So, it's proportional. Hopefully that's helpful! :)

plz help i only need this question who ever get its right will get 77 point

Answers

Answer:

Ok, so I think it's x= 2.5 and y= 306.1 plz forgive me if I'm wrong.

Help help help help help

Answers

Answer:

1,3

Step-by-step explanation:

1 belongs in the green box because on a graph, you start from the x axis which is the horizontal line. The dot is on top of the 1, so the green box would be 1. On the vertical line, the dot is next to the 3, so 3 would go in the grey box.

Alfred has made 8 cookies to give to his friends. Since he has 15 friends that he wants to give cookies to, how many more cookies does he need to make? Define a variable, write an equation, and solve your equation algebraically. Check your solution.

Answers

I wrote notes on this question a while ago

C=cookies to make

C+8=15

C+8-8+15-8

C+0=7

C=7

Check:7+8=15

15=15

hallar una ecuacion de la parabola cuyo foco es (-2,2) y cuya directriz es = -8

Answers

The equation of the parabola whose focus is (-2,2) and whose directrix is x​= -8 is [tex](y+2)^2=-20(x+5)[/tex]

The standard formula for finding an equation of a parabola is expressed as [tex]y^2=4ax[/tex]

If the curve is shifted to the left and down, the equation becomes [tex](y-k)^2=4a(x-h)[/tex] where:

(h, k) is the vertex of the parabola

If the focus is at (-2, 2) and the directrix is at x = -8, the equivalent vertex of the parabola will be at (-5, -2) and the midpoint between the vertex and directrix is at a = -5

Substitute these values into the formula of the parabola.

[tex](y-k)^2=4a(x-h)\\(y-(-2))^2=4(-5)(x-(-5))\\(y+2)^2=-20(x+5)\\[/tex]

Hence the equation of the parabola whose focus is (-2,2) and whose directrix is x ​​= -8 is [tex](y+2)^2=-20(x+5)[/tex]

Learn more here: https://brainly.com/question/7243813

PLEASE HELP URGENT

use the graph to solve the equation. the topic is quadratic equations

pic attached with graph & equation

Answers

Answer:

3 and-2

Step-by-step explanation:

The point of intersection

Answer:

x=-2, x=3

Step-by-step explanation:

x²-x-6=0

x²-3x+2x-6=0

x(x-3)+2(x-3)=0

(x+2)(x-3)=0

Find the missing number.Write your answer on your answer sheet.
3/5÷2/6= 3/5÷6/2=

Answers

Answer :

[tex] \huge \bf \color{gold} \frac{3}{5} \div \frac{2}{6} = [/tex]

[tex] \tt \frac{3}{5} \times \frac{6}{2} = [/tex]

[tex] \tt \frac{18 \div 2}{10 \div 2} = [/tex]

[tex] \tt \frac{9}{5} = [/tex]

[tex] \boxed {\color{blue}{ 1 \frac{4}{5}}}[/tex]

THE RESULT IS 1 4/5

Answer:

The solution is 9/5 and 1/5

Step-by-step explanation:

3/5÷2/6

= 3/5×6/2

= 3/5×3

= 9/5

3/5÷6/2

= 3/5×2/6

= 3/5×1/3

= 1/5

Find the missing term 81:18=?:8

Answers

Answer:

81/10 or 10

Step-by-step explanation:

81:18 - 8 = 81/10 simplified

sorry if am wrong i tried :L

As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation.

Answers

If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is Negative correlation.

There are several types of correlation:

Positive correlation - An increase in one variable leads to an increase in another variable and vice versa Negative correlation - An increase in one variable leads to a decrease in another variable and vice versa Zero correlation - Variables don't change in relation to one another

In this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.

In conclusion, what was observed is negative correlation.

Find out more at https://brainly.com/question/10099551.

Find the value of a when b = 7 and c = 6 in the formula a=(b+c) - 2. ​

Answers

Answer:

a = 11

Step-by-step explanation:

a = (7+6) - 2

a = 13 - 2

a = 11

15 POINTS!!!! Can someone simplify this as much as possible? ty!

245 = 50 + 1s

Answers

Step-by-step explanation:

245=50+1s. /-50

195=1s

s=195

i'll be asking a lot of questions because this assignment has like 50 questions
PLEASE ANSWER WITHIN THIS HOUR!
You and your friend decide to have a road trip. If a car travel 280 miles in 7 hours. How far will it travel in 12 hours?
Thank you for your help!!

Answers

Answer:

480 miles

Step-by-step explanation:

Well, firstly - no idea, as cars can go slower or faster and there is no indication that this particular car would maintain the exact same avg. speed over 12 hours.

There is no way to solve this otherwise though, so we'll assume the car's speed is constant.

280mi / 7h = 40mph

40mph * 12h = 480mi


help plsss TT ill givee brainly

Answers

Answer:

Find the Circumference!

Step-by-step explanation:

Finding the circumferenfe is pretty simple!

On this question, it looks like the diameter is 14!

take the circumference and divide it by 2

14/2

Take the answer and multiply it by PI (3.14).

7 * 3.14 = 21.98

Can someone help me please I will mark u brilliant

Answers

Answer:

6.333... is greater

Step-by-step explanation:

6.3 is larger than 6.2

Answer:

6.33333

Step-by-step explanation:

6.29

6.33333

The 3 is greater than the 2.

Hope this helps :)


Steve drives at a constant speed of 59.3 mph. How far should he expect to drive in 7/8 hr?

Answers

Answer:

51.9 miles

Step-by-step explanation:

distance  = speed * time

d = 59.3 * 7/8

d = 51.8875 miles

rounded

51.9 miles

plz help asap plzz plllzzzzz

Answers

67/20 then 3 2/5 then 3.463 then 3.49

1/8 of a pumpkin pie has 379 calories. How many calories
are in the whole pie?

Answers

Answer:

379*8

Step-by-step explanation:

1. 300*8=2400

2.70*8 = 560

3. 9*8=72

3032

Elijan un lugar de su escuela o de su localidad y elaboren un croquis a escala.
Muestren su trabajo a la clase e indiquen qué escala utilizaron.

Answers

Answer:

Falta informacion para poderlo realizar (   :

Step-by-step explanation:

65 trees in town park..38 are apple. How many oak

Answers

Answer:

27 oak trees

Step-by-step explanation:

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