As a carpenter, you needə build a rectangular bookshelf for a client. The client wants the distance between the top of the bookshelf and the ceiling to be at least 2 1/2
feet. The floor-to-ceiling height of the room is 9 1/2feet. What is the maximum height, in feet, of the bookshelf?

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

Reason

[tex]3( - 2 + 1) + 5 = 3x - 4 - 5x \\ open \: the \: bracket \: at \: the \: lhs \\ - 6 + 3 + 5 = 3x - 4 - 5x \\ 2 = 3x - 4 - 5x \\ collect \: like \: terms \\ 2 + 4 = 3x - 5x \\ 6 = - 2x \\ 2x = - 6 \\ divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{ - 6}{2} \\ x = - 3[/tex]

Answer:

77 m

Step-by-step explanation:

The 2 situations are similar , so the ratios of corresponding sides are equal.

let h be the height of the tower, then

[tex]\frac{2.9}{h}[/tex] = [tex]\frac{1.77}{47.25}[/tex] ( cross- multiply )

1.77h = 137.025 ( divide both sides by 1.77 )

h ≈ 77 m ( to the nearest metre )

Answer:

Step-by-step explanation:

To find the answer, multiply the radius by 2. Then, multiply that product by 3.14 to get the answer. You can do it! Have a great day!

Answer:

4484 - 6448

Step-by-step explanation:

Given: 1 second = 1121 - 1612.

To find: How high the arrow will be after 4 seconds.

Solution:

If 1 second = 1121 - 1612, then 4 seconds = 4 × 1

4 × 1121 - 1612 = 4484 - 6448

Therefore, the arrow will be as high as 4484 - 6448 in 4 seconds.

Answer:

4.065

Step-by-step explanation:

40.6 divide by 5 so answer is 4.065

Answer:

Step-by-step explanation:

0.07/2.8 = 0.025

7/280 = 0.025

Yes they are same because their answer is same

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❀ [tex] \underline{ \underline{ \large{ \tt{ \purple{T \: O \: \: F \: I\: N\: D}}}}} : [/tex]

♕ [tex] \underline{ \underline{ \large{ \tt{ \orange{P \: R\:O \: O \: F \: S}}} }}: [/tex]

[tex]\begin{array}{ |c| c | c | } \hline \text{SN}& \text{Statement} & \text{Reason}\\ \hline \\ \text{1 \: i.}& \sf{In \triangle} \:ABC \: \& \: \triangle \: ACD \: \ \\ & \tt{ \angle ACB= \angle \: ACD(A)}\ & \sf{AC \: bisects \angle \: BCD(Given)} \\ \text{ii} \: & \tt{AC= CA(S)}& \sf{Common \: side} \\ \text{iii} \: & \tt{ \angle \: BAC = \angle \: CAD(A)}& \sf{AC \: bisects \: \angle \: BAD ( Given )}& \\ \\ \hline 2& \tt{ \triangle} \: ABC \cong \triangle{ADC}& \red{\underline{\sf{ \bold{By \: ASA\: axiom}}}} \\ \hline\end{array}[/tex]

Hence , We can conclude :

ツ Hope I helped! ♡

♪ Have a wonderful day / night ! ✎

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \:Learning}}} ☃ [/tex]

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Answer:

you save labor : 3562.50

Step-by-step explanation:

You want to calculate for labor.

labor = 3/5 (parts)

labor + parts = $9500 (total costs)

3/5 parts + parts =9500

3/5 parts + 5/5 parts = 9500

8/5 parts=9500

5/8(8/5 parts) = 5/8 (9500)

‘parts = 5937.50

labor=3562.50 (3/5 x 5937.50)

total = 9500

Answer:

3, 1, 4, 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

-10, [tex]\sqrt{100}[/tex] , 11.5, [tex]\sqrt{220}[/tex] .

Step-by-step explanation:

Answer:

y = 3x + 1

Step-by-step explanation:

y = 3x + b

-5 = 3(-2) + b

-5 = -6 + b

1 = b

Answer:

? 40.50

Step-by-step explanation:

90 ÷ 20 × 9 = 40.5

Answer:

cost of 9article is 40.50

hope it helps.

Answer:

Arithmetic

Step-by-step explanation:

Answer:

Arithmetic

next answer is 2061

Answer:

121

Step-by-step explanation:

If GH=11, then you multiply 11 times 11 to get 121. YUR WELCOME

Answer:

46.5

Step-by-step explanation:

With perimeter you can just add up all the sides.

C-D=7.4

D-E=14

E-F=12.1

F-C=13

     =46.5

Answer:

the exact answer is 314.159265359

Step-by-step explanation:

but it simplifies to 314.16

Answer:

Step-by-step explanation:

11). [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}[/tex]

    = [tex]p^{\frac{3\times 2}{5\times 2}}\times \sqrt[10]{p^4}[/tex]

    = [tex]p^{\frac{6}{10}}\times \sqrt[10]{p^4}[/tex]

    = [tex]\sqrt[10]{p^{6}}\times\sqrt[10]{p^4}[/tex]

    = [tex]\sqrt[10]{p^{10}}[/tex]

    = p

    Yes

12). [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}=\sqrt[5]{p^3} \times \sqrt[10]{p^4}[/tex]

     But, [tex]\sqrt[5]{p^3} \times \sqrt[10]{p^4}\neq \sqrt[3]{p^5}\times \sqrt[10]{p^4}[/tex]

     No

13). Since, [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}=p[/tex]

   Simplify the given expression,

   [tex]\sqrt[10]{p^{\frac{23}{5}}}[/tex]

    [tex]\sqrt[10]{p^{\frac{23}{5}}} =p^{\frac{23}{50}}[/tex]

    No.

14). [tex]p^{\frac{12}{50}}=p^{\frac{6}{25}}\neq p[/tex]

    No.

15). [tex]p^{24}\neq p[/tex]

    No.

Answer:

A=13*6 -5*3

A=78-15

A= 63

Step-by-step explanation:

Step 1- 4×3=12

Step 2- 4×3=12

Step 3- 13×3=39

Step 4- 12+12+39=63

Answer-63cm^2

Answer:

the answer would be 11. bc 2 x 3=6 + 5= 11

U have to substitute the y for 3

Answer:Y = -7

Step-by-step explanation:

Answer:

60% of students are boys

Step-by-step explanation:

Okay first subtract 645-258 to get the amount of boys at the school

645-258=387

Now the ratio of boys to girls is

387:258

387/645×100 to get percentage of boys

put that in your calculator and you will get 60%

so there is 60% of middle school boys and

258/645×100 to get the percentage of girls

put it in the calculator and you will get 40%

so 60% boys and 40% girls

60% + 40% = 100%

Answer:

1.071

Step-by-step explanation:

[tex] log_{a}(28) \\ \\ = log_{a}(4 \times 7) \\ \\ = log_{a}(4) + log_{a}(7) \\ \\ = 0.379 + 0.692 \\ \\ log_{a}(28)= 1.071[/tex]

Answer:

0.9675sq.cm

Step-by-step explanation:

Find a related diagram attached

Area of the shaded region = Area of rectangle - area of semicircle

Area of rectangle = 3cm * 1.5cm

Area of rectangle = 4.5sq.cm

Given

diameter of the semicircle = 3cm

area = πd²/8

Area of the semicircle = 3.14(3)²/8

Area of the semicircle = 3.5325sq.cm

Area of the shaded region = 4.5 - 3.5325

Area of the shaded region = 0.9675sq.cm

Answer:

I think total of is right answer

Answer:

II and III

Step-by-step explanation:

Causation always means coorelation, but corelation doesn't always mean causation.

Also, correlation is a two-sided relationship while causation is not. Hot days cause more ice cream sales but ice cream does not cause more hot days. However, hot days are correlated with ice cream and ice cream is correlated with hot days.

Therefore, only II and III are correct.

Answer: 4 (153 - 98)

formula is a^2-b^2=(a+b)(a-b)

factor out the GCF:

4(153−98)

both terms are not perfect squares so

you cant factor it further.

Answer:

Answer Down Below

Step-by-step explanation:

The answer to your question is -0.3.

Answer:

-15/4 = y

Step-by-step explanation:

3x-8y=39

3*3-8y=39

9-8y=39

y=-15/4

Answer:

5

Step-by-step explanation:

Answer:

( -4 , 16 )

Step-by-step explanation:

1/2x + 18 =  5/2x + 26

-8 = 4/2x

-4 = x

so the lines cross at -4 x  so, then plug that number into either equation to see what y is

y = 1/2(-4) + 18

y = 16

Answer:

D

Slope is 7/3so in front and - 9 is y intercept so is after

Answer:

The order will be 2, 3, 4 & 1

Answer:

Juana lee Ann Jackson ryne

Step-by-step explanation:

can i have brainly

Answer:$18

Step-by-step explanation:4 * 4 = $16. One pair of pants = $13. 16 + 13 = $29. 47 - 29 = $18