Please help I don’t understand this

Please Help I Dont Understand This

Answers

Answer 1

Answer:

side: 17 inchesaltitude: 6 inches

Step-by-step explanation:

The formula for the area of a triangle gives a relationship between area, height, and base length. The problem statement gives the area, and it gives another relation between height and base length. Using these two relations, you can solve for the dimensions of the triangle.

__

setup

The side to which the altitude is measured is called the "base" in the area formula. The altitude is called the "height." The relation between them given by the area formula is ...

  A = 1/2bh

  51 = 1/2bh . . . . . . using the given value for area

The other relation given by the problem statement is that the base is 1 less than 3 times the height:

  b = 3h -1 . . . . . . . base is 1 less than 3 times altitude

__

solution

Using this second equation to substitute for 'b' in the first equation, we have ...

  51 = 1/2(3h -1)h

  102 = 3h² -h . . . . multiply by 2, eliminate parentheses

  3h² -h -102 = 0 . . . . . put in standard form

  3h² -18h +17h -102 = 0 . . . . . prepare to factor

  3h(h -6) +17(h -6) = 0 . . . . . factor pairs of terms

  (3h +17)(h -6) = 0 . . . . . . . . finish factoring

Solutions are the values of h that make these factors zero:

  3h +17 = 0   ⇒   h = -17/3

  h -6 = 0   ⇒   h = 6

We know that dimensions in a geometry problem must be positive, so the solution here is h = 6. Then b = 3h -1 = 3(6) -1 = 17. The dimensions are all in inches.

The length of the side is 17 inches; the altitude to that side is 6 inches.


Related Questions

Soccer is played on a rectangular field that is usually 120 yards long and 75 yards wide. Find the perimeter and the area of the soccer field. Perimeter: .yds. Area: yds\large ^2

Answers

Answer:

Perimeter: 120*2 + 75*2 = 240 + 150 = 390 yards


Area: 120*75 = 9000 [tex]yards^{2}[/tex]

What is the probability of landing on an odd number and then landing on a number greater than 7?

Answers

Answer:

72%

Step-by-step explanation:

If a marble is randomly chosen from a bag thay contains exactly 8 red marbles, 6 blue marbles, and 6 white marbles, what is the probability that the marble will not be white?

Answers

Answer: 7/10

Step-by-step explanation:

The probability of an event can be calculated as:

[tex]P(E)=\frac{n(F)}{n(T)}[/tex]

Where n(F) is favorable outcomes and n(T) is total possible outcomes.

The total number of marbles can be obtained as,

8 + 6 + 6 = 20

The probability of marble being white can be calculated as,

[tex]P(W)=\underline{\frac{6}{20}}[/tex]

Now, the probability of the marble not being white can be evaluated as,

[tex]\begin{aligned}P^{\prime}(W) &=1-\frac{6}{20} \\&=\frac{20-6}{20} \\&=\frac{14}{20} \\&=\frac{7}{10}\end{aligned}[/tex]

Therefore, the probability of the marble not being white is 7/10

one day a store sells 14 pairs of jeans . The 14 jeans represents 20% of total number of items sold that day. How many items did the store sell in one day

Answers

Answer:

items sold in 1 day = 140

Step-by-step explanation:

14 pairs of jeans = 28 jeans total

the 14 "pair of jeans" repesents 20% of the total = x

28 = 20x/100

2800/20 = x

x = 140

Ezekiel manages a clothing store. In May, sales were $129,800. In June, sales were $131,975. What was the rate of change?

Answers

The rate of change of the sles of the clothing store that Ezekiel manages from May to June is $2,175

What is the rate of change?

Subtraction is the mathematical operation that involves determining the difference between two or more numbers.

Rate of change = sales in June - sales in May

$131,975 -  $129,800 = $2,175

To learn more about subtraction, please check: https://brainly.com/question/854115

#SPJ1

Rewrite as a single logarithm: 3 log b x+4 log b y​

Answers

Answer:

log_b x^3y^4

Step-by-step explanation:

see image

23) A movie theatre has 900 seats of which 15% are in the balcony. How many seats are NOT in the balcony?
A.
765
B.
90
C.
785
D.
875

Answers

Answer:

A.765 seats are not in the balcony

Step-by-step explanation:

if 15% are in the balcony then 85% are not in the balcony so..

900 * 0.85 = 765

Answer:

765

Step-by-step explanation:

900*.15=135

900-135 = 765

Find the area of the triangle below.
Be sure to include the correct unit in your answer.

Answers

Answer:

  77 cm²

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

where b is the base length, and h is the altitude perpendicular to the base.

__

Here, you are shown b=22 cm and h=7 cm. The area is ...

A = 1/2(22 cm)(7 cm) = 77 cm²

will pay the first one that answers this question

Answers

Answer:

a. I

b. II

c. IV

3) Solve the equation for x.
10(4x + 4) = 400
A) 2
B) 4
C) 9
D) 18

Answers

Answer:

C) 9

Step-by-step explanation:

10(4x + 4) = 400

40x + 40 = 400

40x = 360

x = 9

Answer:

First factor out the expression

(10•4x)+(10•4)=400

40x+40=400

Then solve

40x+40=400

-40 = -40

40x=360

------ ------

40 40

x=9

C) 9

☆anvipatel77☆

•Expert•

Brainly Community Contributor

what is the product of mixed number 2 x 2 7/8?

Answers

Answer:

[tex]5\frac{3}{4}[/tex]

----------------------------------------------------------------------------------------------------------

Since we have to convert mixed numbers to fractions, [tex]2\frac{7}{8}[/tex] becomes [tex]\frac{23}{8}[/tex]

And for whole number, add a 1 as the denominator.

[tex]\frac{2}{1}[/tex]

Now, the equation becomes...

[tex]\frac{2~*~23}{1~*~8}[/tex]

[tex]2 * 23 = 46[/tex]

[tex]1 * 8 = 8[/tex]

Convert these two numbers to a fraction.

[tex]46~and~8~-- > ~\frac{46}{8}[/tex]

Simplify 46 over 8 and make it a mixed number.

[tex]\frac{46}{8} -- > 5\frac{3}{4}[/tex]

why is the denominator 4? we had to simplify 8 using its GCF along with 46

the GCF is 2, so simplify using 2. to simplify, divide the number by its GCF.

[tex]\frac{46}{2} = 23\\\\\frac{8}{2} = 4[/tex]

now you have [tex]\frac{23}{4}[/tex]

and that, in mixed number, translates to [tex]5\frac{3}{4}[/tex]

________________________________________________________

Questions?

Ask in comments.

50PTS Consider this equation .sin(0) = 4 If is an angle in quadrant II, what is the value of ? A. B. C. D.

Answers

Answer:

A.

[tex] - \frac{ \sqrt{377} }{29} [/tex]

Susan made $550 baby sitting during the summer. She made $256 helping her grandmother working on the farm She spent $175 on a new dress. Which number sentence could be used to find how much money Susan had left?

1. $550 - $256 + $75
2. $550 - $256 - $75
3. $550 + $256 + $75
4. $550 + $256 + $75

Answers

none of these. it would be $550 + $256 - $175 which would equal $631

Help me with this math problem please

Answers

Answer:

First Option (-4,-3)

Step-by-step explanation:

x+2y=-10

-y=3x+15

-4+2(-3)=-10
-10=-10

-3=3(-4)+15
-3=-3

. If you have a cube measuring 1 unit on
each side, how many of those cubes
would fit into a space 5 units by 5 units
by 5 units?

Answers

Answer:

cubes = (5)(5)(5)

number of cubes =125

to fit

PLS HELP ME I NEED AN A I GIVE 50 POINTS

Answers

Answer:

The one on the left shows a proportional relationship between x and y.

Step-by-step explanation:

equation your going to use = y ÷ x or y/x (both mean divide)

2÷4 = 0.5

5÷10 = 0.5

6÷12= 0.5

All have the same answers so that makes it a proportional relationship.

In the figure below, AD and EC intersect at point G, mAGB = 35°, and mAGE = 69°
What is mBGC?
A.
111°
B.
145°
C.
76°
D.
104°

Answers

mBGD = 69° because of the rule of vertical angles
Since we know AD is a line, which equals 180, add 180-69+35=76
The answer is C

Answer:

The correct answer is C.76.

Hope this helps you!!

Please Mark me Brainleast Czn!!!!!!!!

A standard number cube is tossed. Find P( greater than 3 or odd).

Answers

Answer:

Step-by-step explanation:

P= probablity

P (>3  or odd)  

assuming this std.  number cube is 1 to 6, then,

greater than 3 is 50%

so  we've accounted for   1, 3, 4, 5, 6 on the dice what's left  2  :D

so P( >3 or odd) = 5/6  or  83.3333333333333%

Answergrater than 3

Step-by-step explanation:

What number to be added to each of the number 6,16,36 and 76 to be in proportion?​

Answers

Answer:

[tex] \pink{ \pmb{SOLUTION:-}}[/tex]

Here,

Let x must be added.

[tex]\displaystyle{ \frac{6 + x}{16 + x} = \frac{36 + x}{76 + x} }[/tex]

[tex](6 + x)(76 + x) = (36 + x)(16 + x)[/tex]

[tex]456 + 6x + 76x + {x}^{2} = 576 + 36x + 16x + {x}^{2} [/tex]

[tex]82x + 456 = 576 + 52x[/tex]

[tex]82x - 52x = 576 - 456[/tex]

[tex]30x = 120[/tex]

[tex]\displaystyle{x = \frac{120}{30} }[/tex]

[tex]{ \rightarrow{ \pmb{x = 4}}}[/tex]

An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an office in the building will have actual dimensions of 14 feet by 24 feet. What will the dimensions on the blueprint be?
A.
105 inches by 180 inches
B.
21.5 inches by 31.5 inches
C.
6.5 inches by 16.5 inches
D.
1.87 inches by 3.2 inches

Answers

Since we know the scale factor of 1 inch represents 7.5 feet, we can plug in the dimensions for the scale on which the architect drew.

For 14 feet, we can multiply 14 by 1 inch/7.5 feet to get a product of 1.87 inches. Then, we can do the exact same thing with the other width of the floor, which is 24. 24 × 1/7.5 = 3.2

The final dimensions of the blueprint will be D, 1.87 inches by 3.2 inches.


A tissue box shaped like a cube, has a volume of about 90 cubic inches. What is the approximate length of one side of the tissue box?

Answers

The approximate length of one side of the tissue box which has a volume of about 90 cubic inches is 4.5 inches.

What is of volume of cube?

Volume of cube is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the cube can be given as,

[tex]V=a^3[/tex]

Here, (a) is the side of the cube.

A tissue box, shaped like a cube, has a volume of about 90 cubic inches. Put the value of volume in above formula,

[tex]90=a^3\\a^3=90\\a=\sqrt[3]{90}\\a=4.48\\a\approx 4.5\rm\; in[/tex]

Thus, the approximate length of one side of the tissue box which has a volume of about 90 cubic inches is 4.5 inches.

Learn more about the volume of cube here;

https://brainly.com/question/3390425

#SPJ1

A person has a bag containing quarters and dimes. There are a total of 61 coins in the bag, and the total value of the coins is $10.45.

Answers

Answer:

Q+D = 65, multiply both sides by 2525Q + 25D = 162525Q + 10D = 950  subtract to get            15D = 675               D = 675/15 = 135/3 = 45 dimes               Q = 65-45 = 20 quarters25(20) + 10(45) = 500+450 = 950

Every time Liliana bakes a batch of brownies, she uses 3/4 cup of chocolate. If she has 128 cup(s) of chocolate remaining, how many batches of brownies can Liliana make

Answers

Answer:

2

Step-by-step explanation:

12/8 is equal to 6/4.

6 divided by 3 is 2.

Sophia invest money in an account paying simple interest. She invest 100$ and no money is added or removed from the investment. After one year, she has 108. What is the simple percent interest per year ?

Answers

Answer:

8%

Step-by-step explanation:

She earned 8 dollars on a 100 dollar investment

8/100 = 8%

The answer is  8%

What Is Simple Interest?

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.

Given here: Principal as $100 and return as $108 and t=1

Thus 8=100×1×r /100

r=8%

Hence, The rate of interest is 8%

Learn more about simple interest here:

https://brainly.com/question/25845758

#SPJ2

In the equation 4x4=16, 4 is a:

Answers

Answer:

4 is a factor

Step-by-step explanation:

thats what a number being multiplied is called

Efficiently solve

A. 30x70+37x70
B. 335x11-135x11
C. 223x87-123x87
D. 3.2x120+16.8x120
E. 555x0.08-545x0.08
F. 3.45x17-1.45x17
G. 0.7x0.7x85

Thanks so Much if you Help me!

Answers

Answer:

Step-by-step explanation:

A. 2100+2590= 4,690

B. 3685-1485=2,200

C. 19,401-10,701= 8,700

D. 384+2,016=2,400

E. 44.4-43.6=0.8

F. 58.65-24.65=34

G. 41.65

A. 2100+2590=4,690
B. 3685-1485=2,200
C. 19,401-10,701=8,700
D.384+2,016=2,400
E.44.4-43.6=0.8
F.58.65-24.65=34
G.41.65

Line /has a what slope.
1.negative
2.0
3.positive
4.undefined

Answers

positive because it’s going upwards towards the right.

help me please i need help please​

Answers

Answer:

Step-by-step explanation:

your dad said he will help you

a
It takes 15 minutes to drain a pool containing
45 gallons of water. If a similar pool takes 35
minutes to drain at the same rate, how many
gallons of water are in the similar pool?

Answers

Answer:

there is 92.25

Step-by-step explanation:

15x2=30

then you have to find out 5% out of 45 because you need to get 35 not 30.

rewrite each equation in exponential form. log 100=2

Answers

Answer:

10x^{2} = 100

Step-by-step explanation:

Use the definition of a logarithm, logb(x)=y ⟹ by=x, to convert from the logarithmic form to the exponential form.

Hopefully this helps you

- Matthew

Other Questions
Tyesha found that the z-statistic was 2.1 and that the critical z-values were -1.96 and 1.96. Which of the following is a valid conclusion based on these results?A.One can reject the null hypothesis. B.One can reject the alternate hypothesis.C.One can accept the null hypothesis. D.One cannot accept or reject the null hypothesis. 50 points each question. Please help. How do I solve? Why does a curve on a distance-time graph indicate acceleration?An increasing amount of time passes for each unit of distance.A decreasing distance is traveled during each unit of time.A decreasing amount of time indicates a decreasing number of distance units.An increasing distance is traveled during each unit of time. How do you handle stress at work? Why do scientists focus on an animal's cognitive abilities rather than its "intelligence" when studying animal behavior? Which of the following takes place during fertilization in animals and most flowering plants?A. production of sperm and eggB. Joining of sperm and eggC. Division of egg Money is borrowed at %18 simple interest. After one year, $981.76 pays off the loan. How much was originally borrowed? . In triangle DEF, the measure of angle D is 122. Angle E is acute, and angle F is 19. What is the measure of angle F in degrees? From this information, Jasmine concludes that "fertilizer b" is the best at increasing crop yields. Is Jasmine's conclusion scientifically valid? A. Yes, because "fertilizer b" increased her crop yield. B. No, because the different sections of her land were not equal in area. C. No, because the different sections of her land have different characteristics. D. No, because the crop yields were all equal. Im marking brainliest!What are the causes of Lebanon and Sri Lankas bankruptcy? (I am marking brainliest) An important aspect of political socialization that develops in children even before they start to attend school is HELP ASAP!!!!Drag the tiles to the boxes to form correct pairs.Match each hypothesis for how the Moon formed with the statement that best describes it. Choose the best spanish word to complete the sentence. marisol y daniela __________________en la escuela. estoy estudiando est estudiando estn estudiando es estudiando What is the area of the semicircle (use 3.14 for p)?Please help! Will mark brainlyest. In a video, a man punches another man and then evades a female flight attendant before leaving the plane and punching the gate attendant. The videographer commented that the airline staff did the best they could to defuse the situation. Given findings from a meta-analysis on cultural differences in aggression, you can guess that the physically aggressive passenger was _________. Change the following sentences from the active voice to the passive voice: my father will write a letter How much is Pete's 12%commissionon $50,000 in sales I NEED THIS IM FAILING MATH PLSSSS what distance is travelled by a bus that travels at 105kph in 5 hours HELP PLS ILL GIVE BRAINLIESTWhich expression is equivalent to v4? Select all that apply.Group of answer choicesv + v + v + vv ^3 vv^2 + v^24v2v ^2(v) (v) (v) (v) Joe wants to make a epecial cleaning mixturefor his hardwood floors. He needs 3/4 cup of vinegar,2/4cup of clorox and 1/4 cups of water. How much cleaner does Joe have when he is finished makeing the mixture?