Mathematics College

the rectangle shown has an area of 105 square inches. the width is x+ 16 inches and the length is x. find the dimensions of the rectangle

Answers

Answer 1

Answer:

Length = 5

Width = 21

Step-by-step explanation:

(x)(x + 16) = 105

x^2 + 16x = 105

x^2 + 16x - 105 = 0

(x - 5) x ( x + 21) = 0

x - 10 = 0

x = 5

x + 21 = 0

x = -21

Now that we have the zeroes.

We have to find the most viable one to put in.

Using -21 would not make sense, so we will use 5.

Plug it in:

x = 5

(5) (5 + 16) = 105

5 ( 21) = 105

Related Questions

50 POINTS !!

PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

sqrt 4^2+3^2=5

c= /4^2 + 3^2
c= 16 + 9
c= 25
I think this is it

What value of c makes x2+6x+c a perfect square trimonial

Answers

Answer:

Step-by-step explanation:

To solve this just take b (in this case 6x) divide it by 2 and then square it

which means that c=9

this will factor to (x+3)²

What is the distance between the two points shown on the coordinate plane below?

Answers

Answer: 16

Step-by-step explanation:

Answer:

[tex]distance = \sqrt{ {(8 - ( - 8))}^{2} + {( - 6 - ( - 6))}^{2} } \\ = \sqrt{256} \\ = 16 \: units[/tex]

can someone help me please

Answers

Answer:

perimeter: 36

area: i dont know sorry

Step-by-step explanation:

3x + 1/4 y^2

What is the value of the expression above when x = 3 and y = 4? You must show all work and calculations to receive full credit. (4 points)

Answers

Answer:

Step-by-step explanation:

Given :

3x + 1/4 y^2

For x = 3 ; y = 4

3(3) + 1/4(4^2)

9 + 1/4(16)

9 + 4

= 13

X= root (y-1/y+1) ( make “y” as subject. ) number 19

Answers

Answer:

y = (x² + 1) / (1 – x²)

Step-by-step explanation:

x = √[(y – 1)/(y + 1)]

We can make y the subject of the expression as shown below:

x = √[(y – 1)/(y + 1)]

Take the square of both side

x² = (y – 1) /(y + 1)

Cross multiply

x²(y + 1) = (y – 1)

Clear bracket

x²y + x² = y – 1

Rearrange

x² + 1 = y – x²y

Factorise

x² + 1 = y(1 – x²)

Divide both side by (1 – x²)

y = (x² + 1) / (1 – x²)

What is the source of the energy for the circled movement of water?
I’ll mark brainliest

Answers

The water cycle maybe?

PLS HELP !! Find the length of the third side. If necessary, round to the nearest tenth.

Answers

32 I think because of 20+12=32?

Answer: 16

Step-by-step explanation:

Use the pythagorean theorem ([tex]a^2+b^2=c^2[/tex]). A and b are the 2 legs, and c is ALWAYS the hypotenuse.

Plug in the values and solve:

[tex]12^2+b^2=20^2\\144+b^2=400\\b^2=256\\b=16[/tex]

How do I solve this?

Answers

Answer:

find all numbers, stick together o make an uqaion and solve . simplifi if needed

Step-by-step explanation:

Find the median of the data in the dot plot below.
chocolate chips

look in the file for the question

Answers

Answer:

Step-by-step explanation:

The median is the central number of a data set. To the left of 6, there are 5 data points. To the right of 6, there are also 5 data points. This means that 6 is the median.

Answer:

khan approved, it right.

Lorena runs a landscape company. A customer wants her to plant 10 trees, but the trees have to be planted in rows with 4 trees in each row. What shape will the trees be planted in?

Answers

There are several shapes that fulfill these requirements. All involve to parallel rows of 4, then the other two trees forming a perpendicular for (using a tree from each of the other two rows).
E.g.

X X X X
X X X X
X
X

X X X X
X
X
X X X X

X X X X
X
X X X X
X

Find the probability of rolling an even number on a standard number cube.
A.certain
B.impossible
C.Ounlikely
D.as likely as not
E.likely

Answers

Answer:

D as likely as not.

Step-by-step explanation:

......

Answer:

D. as likely as not

Explanation:

P (even number) = 3/6 = 1/2

⇒ as likely as not

11. Eddie is baking cupcakes. He has 7.5 cups of sugar. Each batch of cupcakes requires 0.75 cup of sugar. How many full
batches of cupcakes can Eddie make

Answers

Answer:

Step-by-step explanation:

7.5/0.75=10

Answer:

Step-by-step explanation:

2 apples, 4 bananas, and 6 oranges. A fruit is randomly drawn from the bowl before another fruit is drawn, without replacement.

What is the probability that a banana and then an orange are selected?

Enter your answer as a fraction in simplest form in the box

Answers

Answer:

1/9

Step-by-step explanation:

1. aa

2. ab

3. ao

4. ba

5. bb

6. bo

7. oa

8. ob

9. oo

Answer:

anwser is 2/11

i took the quiz and picked 1/9 and it sayed that the anwser was 2/11

Maria goes on a shopping trip to get ready for her vacation. She loads her cart with a bathing suit for $15.00, a sun hat for $8.00, magazines for $8.00, and a beach towel for $7.00. When she gets to the register, she realizes she only has $20.00 in her pocket.
Use the passage to answer the question.
If Maria decides to purchase the sun hat and towel, what is the opportunity cost of her purchase? Select all that apply.
A. the sun hat
B. the towel
C. the magazines
D. the bathing suit

Answers

Answer:c
The cost with the sun hat and towel is 15 so add that with the magazines That will give u 23$ thats the best opportunity

125 ft to yd what is the answer

Answers

Answer:

your answer is 41.6667

Answer:

41 2/3 yards

Step-by-step explanation:

Divide by 3 because 3ft in one yard

125 / 3 = 41 2/3 yards

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the measure of the missing angle.

Answers

give me a sec so i can answer

Answer:

68 degrees

Step-by-step explanation:

That angle counts as 90 degrees, so all you need to do is subtract 90 from 22 because 90 degrees is the full angle.

90-22=68

What is the length of the dotted line in the diagram below? Round to the nearest
tenth

Answers

Answer:

[tex]Hypotenuse^2 = 5^2 + 2^2 = 25 + 4 = 29\\\\Hypotenuse= \sqrt{29}\\\\diagonal^2 = (\sqrt{29})^2 + 2^2\\\\diagonal^2 = 29 + 4 = 33\\\\diagonal = \sqrt{33} = 5.7445 = 5.8[/tex]

What is the length of the hypotenuse?
O 6 cm
O 62 cm
O 12 cm
O 122 cm

Answers

Is there a picture of the triangle or any measurements other than multiple choice

Jessica and Emily went shopping at a local boutique. Jessica purchased 4 bracelets and a new.pair of earrings for $9.50. Emily purchased 3 new bracelets and 2 new pair of earrings for $10.25.

Answers

What’s the complete question

A piece of wire is 72cm long. Is used to form 2 identical squares. What is the length of each each side of squares?

Answers

Answer:

the length of each side of the square are 6 cm

72/8= 9 cm
Because each square has 4 sides
So (4*9)+(4*9)=72
So the answer is 9

Find the median of the following set of data.
23, 50, 49, 48, 49, 32, 37, 40, 41, 42, 41, 41, 43

Answers

Answer:

Step-by-step explanation:

Find the value of x

Answers

Answer:

x=-0.5 or x=-1/2

Step-by-step explanation:

The one above answered it !

The product of two numbers is 41. One of the numbers
is the complex number 5+4i. What is the other
number?

A. 5-4i
B. 5+4i
C. -5-4i
D. -5+4i
E. 41/5-4i

Answers

Answer: 5 - 4i (choice A)

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

Work Shown:

x = the other number

(5+4i)*x = 41

x = 41/(5+4i)

x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below

x = 41*(5-4i)/( 41 )

x = (41/41)*(5-4i)

x = 5 - 4i

As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41

The rule used is (a-bi)(a+bi) = a^2 + b^2

-----------

Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.

Pleaseeeeee hellopppppppp!!

Answers

Answer:

A. 29

B. 11

C. 10

D. 12

Step-by-step explanation:

A. 180 - 122 = 58

58 divided by 2 = 29

B. 180 - 37 = 143

x = 11

5 x 11 = 55

8 x 11 = 88

55 + 88 = 143 + 37 - 180

C. the small box in a triangle means right angle = 90

90 - 68 = 22

(2x - 2) we subtract before finding out what x is

22 - 2 = 20

2x = 20 divide by 2 = 10

x is equal to 10

D. to find the total, you must figure out what each equation is to add them up to make 180.

(8x + 3) + (2x + 9) + 4x = 180

add up the numbers with x and the numbers without them

14x + 12 = 180

subtract 180 - 12 = 168

168 divided by 14 = 12

x = 12

Hope this helped !!

please help!
i will reward brainliest

Answers

Answer:

37.9 degrees

Step-by-step explanation:

Using the law of sines, [tex]\frac{\sin(m\angle C)}{21}=\frac{\sin(47^\text{o})}{25}[/tex]. It follows that [tex]\sin (m\angle C) = \frac{21\sin(47^\text{o})}{25} \approx 0.6143371[/tex]. Therefore, [tex]m\angle C = \sin^{-1}(0.6143371)=37.9^\text{o}[/tex].

The answer 39.7. I not all the way sure

Tyler’s family spent 90 minutes on the trolley sightseeing tour. If they spent 36 minutes riding the trolley and about 9 minutes stopped at each sight, how many sights did they stop at?

Answers

Removing the time spent on riding the trolley:
90-36=54
And the rest of the time on the sights
Then 54/9= 6
They stopped at 6 sights

How many faces does this shape have?

Answers

DO NOT LISTEN TO THE OTHER PERSON, you can CLEARLY see thats not the right answer. She/He is bluffing.

The true answer:
The shape has 4 faces. Faces means the sides of a 3d figure/the sides are the 2d shapes that form together to form one 3d figure. Btw that figure is a triangular pyramid.
Com.ment me if u have any questions

Have a nice day!

Which of the expressions below is a binomial factor of the polynomial shown?
w² +8w+16
A.(w+8)
B.(w+4)
C.(W+16)
D.(w+2)

Answers

Answer:

D. (w+4)

Here is ur answer mate

Answer:

i guess it is B after mid term break formula

What is the value of x3 . Y1 when x= 5 and y = 10

Answers

Answer:

x³ = 125

y¹ = 10

Step-by-step explanation:

x³

5³ = 125

y¹

10¹ = 10

Answer:

150

Step-by-step explanation:

(5*3) . (10*1) = 150

Hope this helps, good luck!

Other Questions

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