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2 years ago

Please may someone help me with these two questions I'm struggling with above.

Mathematics

1 answer:

34kurt2 years ago

5 0

Answer:

Perimeter = 21 units

Volume = 110 cubic units

Step-by-step explanation:

Let the center of circle be (x,y).

$(x+2)^{2} +(y-7)^{2} = (x)^{2}+(y+2)^{2}$

4x - 18y = - 45

$(x)^{2}+(y+2)^{2}=(x-2)^{2}+(y-2)^{2}$

4x + 8y = 4

x + 2y = 1

Solving these 2 equations,

4 - 26y = -45

y = $\frac{49}{26}$

x = $\frac{-36}{13}$

radius = 3.35

Perimeter = 2 $\pi r$ = 21 units

Volume of cylinder = $\pi r^{2} h$

We have to add the volumes of the cylinders.

Volume of smaller cylinder = $\pi \times 2^{2} \times 2$ = 8 $\pi$

Volume of larger cylinder = 27 $\pi$

Total volume = 35 $\pi$ = 110 cubic feet

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I’m really struggling! Please help me!!

Andrew [12]

Answer:

8.0

Step-by-step explanation:

The triangle is a right triangle, so we are able to use trigonometric functions. Relative to the angle of 37°, we have the opposite side which is 6 and the adjacent side which is x. The trig function that uses the opposite and adjacent is tangent(SohCahToa). We can set up the following equation:

$tan(37) = \frac{opposite}{adjacent}$

$tan(37) = \frac{6}{x}$

tan(37) evaluates to about , so we can plug it in and solve for x:

$0.7536 = \frac{6}{x} \\0.7536x = 6\\x = 7.962$

To the nearest tenth, x rounds to 8.0.

4 0

2 years ago

Drag the tiles to the boxes to form correct pairs. Match the pairs of equivalent expressions.

Rashid [163]

Answer:

The following pairs/results are matched:

$5\left(2t+1\right)+\left(-7t+28\right)$ = $3t+33$
$3\left(3t-4\right)-\left(2t+10\right)$ = $7t-22$

$\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)$ = $\frac{16t}{3}-\frac{23}{5}$

$\left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)$ = $-\frac{11}{4}t+36$

Step-by-step explanation:

Lets solve all the expressions to match the results.

$5\left(2t+1\right)+\left(-7t+28\right)$

Solving the expression

$5\left(2t+1\right)+\left(-7t+28\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$5\left(2t+1\right)-7t+28$

$10t+5-7t+28$

$3t+33$

Therefore, $5\left(2t+1\right)+\left(-7t+28\right)$ = $3t+33$

$3\left(3t-4\right)-\left(2t+10\right)$

Solving the expression

$3\left(3t-4\right)-\left(2t+10\right)$

$9t-12-\left(2t+10\right)$

$9t-12-2t-10$

$7t-22$

Therefore, $3\left(3t-4\right)-\left(2t+10\right)$ = $7t-22$

$\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)$

Solving the expression

$\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$4t-\frac{8}{5}-\left(3-\frac{4}{3}t\right)$

$4t-\frac{8}{5}-\left(-\frac{4t}{3}+3\right)$

$4t-\frac{8}{5}-3+\frac{4t}{3}$

$-3-\frac{8}{5}:\quad -\frac{23}{5}$ and $\frac{4t}{3}+4t:\quad \frac{16t}{3}$

So,

$4t-\frac{8}{5}-3+\frac{4t}{3}$ will become $\frac{16t}{3}-\frac{23}{5}$

Therefore, $\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)$ = $\frac{16t}{3}-\frac{23}{5}$

$\left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)$

Solving the expression

$\left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$-\frac{9}{2}t+3+\frac{7}{4}t+33$

$\mathrm{Group\:like\:terms}$

$\frac{9}{2}t+\frac{7}{4}t+3+33$

$\mathrm{Add\:similar\:elements:}\:-\frac{9}{2}t+\frac{7}{4}t=-\frac{11}{4}t$

$-\frac{11}{4}t+3+33$

$-\frac{11}{4}t+36$

Therefore, $\left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)$ = $-\frac{11}{4}t+36$

Thus, the following pairs/results are matched:

$5\left(2t+1\right)+\left(-7t+28\right)$ = $3t+33$
$3\left(3t-4\right)-\left(2t+10\right)$ = $7t-22$

$\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)$ = $\frac{16t}{3}-\frac{23}{5}$

$\left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)$ = $-\frac{11}{4}t+36$

Keywords: algebraic expression

Learn more about algebraic expression from brainly.com/question/11336599

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5 0

3 years ago

Read 2 more answers

find the coordinates of p so that p partitions segment ab in the part to whole ratio of 1 to 4 with a(-5,4) and b(7,-4)

scoray [572]

Answer:

$p(x,y) = (-2.6 ,2.4)$

Step-by-step explanation:

Given

a(-5,4) and b(7,-4)

Required

Partition P

Given that the segment ab is divided into ratio;

The coordinates of point p can be calculated using ratio formula given below

$p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n})$

Where m and n are the ratio; m = 1 and n = 4

$(x_1, y_1) = (-5,4); \\(x_2, y_2) = (7,-4)$

So,

$p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n})$ becomes

$p(x,y) = (\frac{1 *7 + 4 * -5}{1+4} ,\frac{1 * -4 + 4 * 4}{1+4})$

$p(x,y) = (\frac{7 + -20}{5} ,\frac{-4 + 16}{5})$

$p(x,y) = (\frac{-13}{5} ,\frac{12}{5})$

$p(x,y) = (-2.6 ,2.4)$

Hence, the coordinates of p are (-2.6,2.4)

3 0

3 years ago

Simplify the expression 4x^3 2x^3

kotykmax [81]

Answer:

Step-by-step explanation:

2 3x6

the 3 is an exponet so supost to be smaller

5 0

2 years ago

Read 2 more answers

Write an equation for the statement. Then, solve the equation:

Diano4ka-milaya [45]

Answer:

V = 125.6 in³

Step-by-step explanation:

let V be volume, h the height and r the radius, then the equation relating the quantities is

V = khr² ← k is the constant of variation

To find k use the condition V = 402.12, h = 8, r = 4

402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )

3.14 = k [ note 3.14 is π )

V = 3.14hr² ← equation of variation [ V = πr²h ]

Given r = 2 and h = 10, then

V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6

4 0

2 years ago

Please may someone help me with these two questions I'm struggling with above.​

Please may someone help me with these two questions I'm struggling with above.