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mrs_skeptik [129]
3 years ago
6

Colby wants to set square tiles on the top of the wooden box the top of the box is a rectangle 7 1/2 inches long and 5 1/2 inche

s wide how many 1/2 inch tiles would
Colby need to cover the top of the box
Mathematics
1 answer:
Margaret [11]3 years ago
5 0
He will need 41 1/2 inches to cover the top of the box.
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11. D'(2.9) is the image of D after a reflection
algol [13]

Answer:

D(- 2, 9 )

Step-by-step explanation:

Under a reflection in the y- axis

a pont (x, y ) → (- x, y )

Given D'(2, 9 ) is the image of D, then

D(- 2, 9 ) ← are the original coordinates

Since D(- 2, 9 ) → D'(2, 9 )

4 0
3 years ago
5 7/8 + 11/4<br> show me how to solve
loris [4]

let's firstly convert the mixed fractions to improper fractions and then add, bearing in mind that the LCD from 8 and 4 is simply 8.

\bf \stackrel{mixed}{5\frac{7}{8}}\implies \cfrac{5\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{47}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{47}{8}+\cfrac{11}{4}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)47~~-~~(2)11}{8}}\implies \cfrac{47-22}{8}\implies \cfrac{25}{8}\implies 3\frac{1}{8}

7 0
2 years ago
Read 2 more answers
(3 5/9)÷(−2 2/3) help plz
Elza [17]

Answer:

-4/3

Step-by-step explanation:

3 5/9= 32/9 and -2 2/3=-8/3 So, 32/9 * -3/8=-4/3 :)

8 0
3 years ago
Read 2 more answers
Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side
maria [59]

Answer:

cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = -\frac{1}{3}

cos(b) = -\frac{1}{4}

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = -\sqrt{1-(-\frac{1}{3})^2} [Since, sin(a) = \sqrt{(1-\text{cos}^2a)}]

         = -\sqrt{\frac{8}{9}}

         = -\frac{2\sqrt{2}}{3}

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be  negative.

sin(b) = -\sqrt{1-(-\frac{1}{4})^2}

         = -\sqrt{\frac{15}{16}}

         = -\frac{\sqrt{15}}{4}

By substituting these values in the identity,

cos(a + b) = (-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})

                = \frac{1}{12}-\frac{\sqrt{120}}{12}

                = \frac{1}{12}(1-\sqrt{120})

                = \frac{1}{12}(1-2\sqrt{30})

Therefore, cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

5 0
3 years ago
Find the volume of a right circular cone that has a height of 11.4 in and a base with a radius of 5.1 in. Round your answer to t
ella [17]

Answer:

Step-by-step explanation:

h=11.4 in

r=5.1 in

v=3.14*r^2*(h/3)

V=3.14*5.1^2*(11.4/3)=3.14*26.01*3.8=310.35

5 0
2 years ago
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