A 100 m2hay shed is to be extended to give 475 m2of oor space in total, as shown. All angles are right angles. Find the value of x.

Answers

Answer 1

Answer:

[tex]x = 15.[/tex]

Step-by-step explanation:

Given

See attachment for floor space

Required

Find x

The floor can be partitioned into three space.

The dimension and the area of each space is:

Dimension: 10 by 10

[tex]A_1 = 10* 10 = 100[/tex]

Dimension: 10 by x

[tex]A_2 = 10* x = 10x[/tex]

Dimension: x by x

[tex]A_3 = x* x=x^2[/tex]

So, the total area is:

[tex]Area =100 +10x + x^2[/tex]

Given that:

[tex]Area = 475[/tex]

So, we have:

[tex]100+10x+x^2 =475[/tex]

Rewrite as:

[tex]x^2 +10x+100-475=0[/tex]

[tex]x^2 +10x-375=0[/tex]

Expand

[tex]x^2 + 25x -15x -375 = 0[/tex]

Factorize

[tex]x(x + 25) -15(x +25) = 0[/tex]

Factor out x + 25

[tex](x+25)(x-15)=0[/tex]

Solve:

[tex]x = -25\ or\ x = 15[/tex]

x cannot be negative; So:

[tex]x = 15.[/tex]

A 100 M2hay Shed Is To Be Extended To Give 475 M2of Oor Space In Total, As Shown. All Angles Are Right

Related Questions

What is the domain of the relation
graphed below?

Answers

Answer:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

wala muna akung ma explantion hahah sore

X
ſocm
Jicm
A) 2V5 cm
B) V13 cm
D) V19 cm
C) 1 cm
ASAP

Answers

Answer:

using pythagoras theorem

hyp 2=opp 2+adj 2

=( √6)(√6)+(√7)(√7)

hyp 2=13

hyp=√13

Given:

A right angle triangle with legs [tex]\sqrt{6}[/tex] cm and [tex]\sqrt{7}[/tex] cm. The length of the hypotenuse is x.

To find:

The value of x.

Solution:

Pythagoras theorem: In a right angle triangle,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

Using the Pythagoras theorem, we get

[tex]x^2=(\sqrt{7})^2+(\sqrt{6})^2[/tex]

[tex]x^2=7+6[/tex]

[tex]x^2=13[/tex]

Taking square root on both sides, we get

[tex]x=\sqrt{13}[/tex]                  [Because side length is always positive]

The measure of hypotenuse is [tex]\sqrt{13}[/tex] cm.

Therefore, the correct option is B.

help w this questionn ^^

Answers

Answer:

BC = 8 cm

Step-by-step explanation:

tan(x) = sin(x)/cos(x)

sin(x) is the opposite side of the angle x.

cos(x) is the side with a right angle to sin(x).

2 = 12/EC

EC = 12/2 = 6 cm

=>

CD = ED - EC = 10 - 6 = 4 cm

now, the same tan(x) relation had to be true for BCD.

tan(x) = BC/CD

2 = BC/4

BC = 8 cm

work out the m and c for the line: y=x-7

Answers

Answer:

Step-by-step explanation:

Compare the given y = x - 7 to the general slope-intercept formula

                                 y = mx + b

Here the slope is 1 and the y-intercept, b, is -7.

Answer:

Step-by-step explanation:

Slope - y intercept form : y = mx +c

y = x - 7

m = 1

c = -7

determinants and inverses

Answers

Answer:

qustion number 1 the last one .

qustion number 2 the first one .

A bicycle tire has a radius of 26 inches. How many revolutions will this tire make if the bicycle is pedaled 1 mile? (Use 3.14 for π and 1 mile = 5280 feet).

Answers

How far does a wheel move when it rotates once? The length of the outside of the tyre? Isn't that the same as the circumference?

Samantha places a mirror on the ground between herself and an apartment building and
stands so that when she looks into the mirror, she sees the top of the building. The center of
the mirror is 1.22 meters from her feet and 7.32 meters from the base of the building.
Samantha's eye is 1.82 meters above the ground. How tall is the building?

Answers

Answer:

The correct solution is "10.92 meters".

Step-by-step explanation:

The given values are:

Center of the mirror,

= 1.22 meters

Base,

= 7.32 meters

Samantha's eye,

= 1.82 meters

Let the height of the building will be "x".

Now,

The height of the building will be:

⇒ [tex]\frac{1.82}{x} =\frac{1.22}{7.32}[/tex]

By applying cross-multiplication, we get

⇒    [tex]x=\frac{1.82\times 7.32}{1.22}[/tex]

⇒       [tex]=\frac{13.322}{1.22}[/tex]

⇒       [tex]=10.92 \ meters[/tex]

Which expression has the largest value? Each has as a factor. A 92 × 38\ \ \frac{9}{2}\ \times\ \frac{3}{8} 2 9 ​ × 8 3 ​ B 1089 × 38\frac{10}{89}\ \times\ \frac{3}{8} 89 10 ​ × 8 3 ​ C 123 × 381\frac{2}{3}\ \times\ \frac{3}{8}1 3 2 ​ × 8 3 ​ D 278 × 382\frac{7}{8}\ \times\ \frac{3}{8}2 8 7 ​ × 8 3 ​

Answers

Answer:

if your in high school why you need the answer

Step-by-step explanation:

t f

hi i am a boy that does math at school

!!!!!!!!!PLEASE HELP!!!!!!!!

Answers

Answer:  D

Step-by-step explanation:

We're given a point (a,b) that happens to be on the unit circle, a²+b²=1, so a is the cosine of the angle θ and b is its sine.

Answer:

option 4

Step-by-step explanation:

I really need help with this problem

Answers

Answer:

Measure of angle K is 52.5 degrees

Step-by-step explanation:

Here, we have a case of two sides being congruent

mathematically when two sides are congruent, then we have an isosceles triangle

For an isosceles triangle, the base angles are equal

LM faces K , while M faces KL

What this mean is that L faces KM

From above, we can see that K = M = ?

Let us call this x

Mathematically, the sum of angles in a triangle is 180 degrees

75 + x + x = 180

2x = 180-75

2x = 105

x = 105/2

x = 52.5

8. Ethan has $63 in his bank account at the
end of June. During the month of June, he
deposited $285 and wrote cheques for $85,
$41, and $9. As well, he withdrew $75
from a bank machine.
a) Write an integer to represent the
value of Ethan's bank account at
the beginning of June.

Answers

Answer:

-$12

Step-by-step explanation:

Working backwards from the $63, you need to add back what was withdrawn and subtract what was deposited.

63+75+9+41+85-285= -$12

Please help me solve my problem!!!

Answers

Answer:

180(n-2) or B

Step-by-step explanation:

will give brainliest to correct answer​

Answers

Answer:

A = 5

B = -13

C = 7

Step-by-step explanation:

The general formula of quadratic equation is ax^2+bx+c.

Nigel has 2 dogs. One eats 2 1/2 pounds of food each week. The other eats 1 3/8 pounds each week. Together how much food do the dogs eat in a week

Answers

Answer:  3 & 7/8  pounds

whole part = 3

fractional part = 7/8

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

Explanation:

1/2 = 4/8

So the mixed number 2 & 1/2 is the same as 2 & 4/8

Adding on 1 & 3/8 will mean the fractional portions add to 4/8+3/8 = 7/8 and the whole number portions add to 2+1 = 3

Overall, the total amount eaten is 3 & 7/8 pounds

Answer:

27 1/8 pounds

Step-by-step explanation:

2.5 multiplied by 7 would be 17.5 and 1 and 3/8's by 7 would be 7 multiplied by 3 = 21/8 which would be 9 and 5/8's added up with the first 7 pounds

There were 60 7th grade students last year in CHAMPS. This year, there are 48 7th grade students. What is the percent decrease from last year to this year?

Answers

20%

Hope this helps! :)

______________

65 70 75 80 85
Brand A
HIH
15
50
60
70
85
Brand B
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Price ($)
Which statement is the most appropriate comparison of the spreads?
O A. The interquartile range (IQR) for brand A, $20, is less than the IQR
for brand B. $70.
O B. The median for brand A, $75, is greater than the median for brand
B, $60.
O C. The interquartile range (IQR) for brand A, $10, is less than the IQR
brand B. $20.
O D. The interquartile ranges (IQRs) for brands A and B are both $20.

Answers

Given:

Two box plots for Brand A and Brand B.

To find:

The correct statement for the given box plots.

Solution:

In a box plot, the left end of the box represents the first quartile [tex](Q_1)[/tex], right end of the box represents the third quartile [tex]Q_3[/tex] and the line inside the box represents the median.

The interquartile range of a data set is:

[tex]IQR=Q_3-Q_1[/tex]

From the box plot of Brand A, it is clear that

[tex]Q_1=70[/tex]

[tex]Median=75[/tex]

[tex]Q_3=80[/tex]

So, the interquartile range (IQR) for brand A is:

[tex]IQR=80-70[/tex]

[tex]IQR=10[/tex]

From the box plot of Brand B, it is clear that

[tex]Q_1=50[/tex]

[tex]Median=60[/tex]

[tex]Q_3=70[/tex]

So, the interquartile range (IQR) for brand B is:

[tex]IQR=70-50[/tex]

[tex]IQR=20[/tex]

The median for brand A, $75, is greater than the median for brand B, $60.

The interquartile range (IQR) for brand A, $10, is less than the IQR

brand B. $20.

Therefore, the correct options are B and C.

please help this is for my finalllll

Answers

Answer:

K= J-5

Step-by-step explanation:

Answer:

K=J-5

Step-by-step explanation:

First we have K+5=J, but we need to find K.

Move K to the other side of the equation, change the sign to subtraction, the opposite of addition, and there you have it!

K=J-5

Hope this helps!

--Applepi101

PLEASE HELPPPPP I NEED TO PASS SUMMER SCHOOL

Answers

Answer:

c

Step-by-step explanation:

used socratic

Determine the domain of the following graph:

Answers

Answer:

-10<x<6

Step-by-step explanation:

Find where x starts and where x ends

what is the correct answer​

Answers

Step-by-step explanation:

you tu tubless

ar vi ing

..............

Which expressions are equivalent to One-half + 3 c + StartFraction 4 Over 5 EndFractionCheck all that apply.

Answers

Answer:

(13+30c)/10

Step-by-step explanation:

Given the expression;

1/2 + 3c + 4/5

Find the LCM

= 5(1)+10(3c)+2(4)/10

=  (5+30c+8)/10

= (13+30c)/10

Hence the required sum is (13+30c)/10

find the slope! i have more to come so please help:(

Answers

Answer:  -3/2

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

Work Shown:

Rise = -3

Run = 2

Slope = rise/run = -3/2 = -1.5

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

Notes:

The rise and run correspond to the vertical and horizontal portions of the triangle shownThe rise is negative because we're going downhill when moving from left to right, so that also means the slope is negative. The run is always positive.

Answer:

m = - 3 / 2

Rise : -3

Run : 2

Step-by-step explanation:

According to the picture,

first coordinate : ( 2 , 1 )

second coordinate : ( 4 , - 2 )

Formulae : m=(y2-y1)/(x2-x1)

Substituting,

m = ( - 2 - 1 ) / ( 4 - 2 )

m = - 3 / 2

If this helps you, please mark brainliest!

Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour.

Tori wrote this expression to determine the distance she would travel into outer space.

(3.21 × 103)(1.13 × 105)

Estimate the distance travelled.
Almost-equals30 × 1015 meters
Almost-equals3 × 108 meters
Almost-equals30 × 108 meters
Almost-equals3 × 1015 meters

Answers

Answer:

the answer is B

Step-by-step explanation:

smort :)

Answer:

bbbbbbb

Step-by-step explanation:

The average time it takes to travel from home to school is 22 ½ minutes. Depending upon weather and morning traffic, the actual time on a given day can vary up to 5 ½ minutes.

Answers

Answer:

[tex]17 \le t \le 28[/tex]

Step-by-step explanation:

Given

[tex]t = 22\frac{1}{2}[/tex] --- average time

[tex]\triangle t = 5\frac{1}{2}[/tex] --- the variation

Required

The inequality to represent the scenario

To do this, we simply add and subtract the variation from the average time.

i.e.

[tex]t \± \triangle t[/tex]

So, the inequality is:

[tex]22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}[/tex]

Solve:

[tex]17 \le t \le 28[/tex]

Here are some cards with angles written on them.
45°
165°

90°
102°
31°
53°
Moira picks one of the cards at random.
What is the probability that the angle on the card is greater than 100°?

Answers

the answer is 165 I think because I didn't understand the question

Answer= (2/7) or about 0.29

Explanation: There are only two numbers that are greater than 100 (102,165). Divide the number of cards that are greater than 100° by the amount of cards that are given.

(2/7) = about 0.29

Please helpppp i have a test tomorrow the problem is in the picture below

Answers

Answer:

yes

Step-by-step explanation:

Help me please. NO LINKS

Answers

Answer:

A. 7986.45

[tex] \frac{4}{3} \pir3[/tex]

Please help thank you! Brainliest

Answers

Answer:

D

Step-by-step explanation:

(-32÷4)^2 -9 + (-7)

=(8)^2 -9 + (-7)

The answer is D hope this helps

Twenty planes are at an airport. Eight planes take off, then five planes land, then 7
more take off, then 9 land. How many planes are left at the airport? PLS HELPP

Answers

Answer:

19

Step-by-step explanation:

20 - 8 = 12

12 + 5 = 17

17 - 7 = 10

10 + 9 = 19

What is the length of /AB?

Answers

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

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