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3 years ago

What is the value of x?

Mathematics

1 answer:

Kruka [31]3 years ago

5 0

Answer:

Step-by-step explanation:

Look at the picture.

Therefore we have:

$\dfrac{4}{3}=\dfrac{x}{2.25}$ <em>cross multiply</em>

$3x=(4)(2.25)$

$3x=9$ <em>divide both sides by 3</em>

$x=3$

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Mrs. Child bakes pumpkin pies using a deep‐dish pie plate with a 9 inch diameter. If she cuts her pies into 12 equal slices and

andrew11 [14]

Answer: $4.71\ in.$

Step-by-step explanation:

Given

diameter of pie is $d=9\ inch$

radius $r=\frac{9}{2}=4.5\ inch$

If child divides pie into 12 equal parts then each part subtends an angle of

$=\frac{360^{\circ}}{12}=30^{\circ}$ at the center

and crust length of single piece is

$=\frac{30}{360}\times 2\pi r$

$=\frac{1}{12}\times 2\times \pi \times 4.5$

$=2.35\ in.$

For two slice length is $2\times 2.35=4.71\ in.$

Thus the total length of crust eaten is $=4.71\ in.$

5 0

3 years ago

write the slope intercept equation. the graph of f passes through (-6,4) and is perpendicular to the line that has an x-intercep

Nimfa-mama [501]

Answer:

y = $-\frac{1}{3} x$ + 2

Step-by-step explanation:

The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:

Slope(s) = Change in y ÷ change in x

s = $\frac{0 - -6}{2 - 0}$ = 3

The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = $-\frac{1}{3}$

Reason: The product of slopes of lines perpendicular to each other have to be -1

So the slope of the perpendicular line that passes through (-6,4) is $-\frac{1}{3}$

As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x

Taking another point (x,y) on the line,

$-\frac{1}{3}$ = $\frac{y - 4}{x - -6}$

$-\frac{1}{3}$ = $\frac{y - 4}{x + 6}$

y - 4 = $-\frac{1}{3}$ x - 2

y = $-\frac{1}{3}$ x + 2

5 0

2 years ago

Tisha and Dana were both fishing for salmon, and by coincidence, caught the same number of fish this week. Tisha caught salmon i

solong [7]

Answer:

The minimum number of fish each must have caught is 90 fishes

Step-by-step explanation:

The number of fishes Tisha's net can hold = 15

The number of fishes Dana's net can hold = 18

Let the total number of fishes both Tisha and Dana caught = X

15 × A = 18 × B = X

Therefore, X is the lowest common multiple (LCM) of 15 and 18 given as follows;

15 = 3 × 5

18 = 3 × 6

Therefore, the LCM of 18 and 5 = 3 × 5 × 6 = 90

Which gives, the minimum number of fish each must have caught = 90 fishes.

4 0

3 years ago

4,8,16,24 - what are the next two terms in this pattern?

Tresset [83]

Answer:

48,96

Step-by-step explanation:

As we saw it the numbers kept increasing by x2 (or times 2) so the next had to be the same.

peace

4 0

3 years ago

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Question:

EastWind [94]

Answer:

add the equations together

Step-by-step explanation:

4 ways of solving one-step equations: Adding, Substracting, multiplication and division.

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3 years ago

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