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2 years ago

If someone could please help me I’m confused thanks:)

Mathematics

1 answer:

Sedbober [7]2 years ago

3 0

<h3>Answer: x = 45</h3>

Work Shown:

x+x+90 = 180 .... all three angles of a triangle add to 180

2x+90 = 180

2x = 180-90

2x = 90

x = 90/2

x = 45

This is a 45-45-90 right triangle. We also consider it an isosceles right triangle because the base angles (45) are equal.

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The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16 centimeters. Find the lateral sur

ad-work [718]

The lateral surface area of the cylinder = 80 sq cm.

Step-by-step explanation:

Given,

The circumference of the base of the cylinder is 16 cm

So, 2 X pi X r = 16 cm ( where r be the radius of the base)

Now, the lateral surface of the cylinder = 2 X pi X r X H ( where H be the height = 5 cm)

= 16 X 5 sq cm

= 80 sq cm

Hope it helps you.

8 0

2 years ago

Please help explanation if possible

Andrej [43]

9514 1404 393

Answer:

y -4 = -2(x -(-11))

Step-by-step explanation:

The point slope formula is ...

y -k = m(x -h) . . . . . line with slope m through point (h, k)

So, the boxes in order from left to right are k, m, h.

The problem statement tells you the point is (-11, 4), so h = -11, k = 4. It also tells you the slope is -2, so m = -2.

Putting these numbers in the required order, we have k = 4, m = -2, h = -11 and the equation of the line is ...

$y-\boxed{4}=\boxed{-2}(x-\boxed{-11})$

7 0

2 years ago

Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. r(t) = 4 cos(t)i + 4

slega [8]

Answer:

The equation to this question is " $x^2+y^2=16$ "

Step-by-step explanation:

Given value:

$\to r(t) = 4 \cos (t)i + 4 sin(t)j + k\\where \\\\\to x(t)= 4 \cos t\\\to y(t) = 4 \sin t\\\to z(t)=1\\$

$\to x^2+y^2= 16 \cos^2 t +16 \sin^2 t\\\\\to x^2+y^2= 16 (\cos^2 t +\sin^2 t)\\\\\therefore (\cos^2 t +\sin^2 t =1)\\\\\to x^2+y^2= 16 (1)\\\\\to x^2+y^2= 16\\\\\to z=1$

So, the curve $r(t) = 4 \cos (t)i + 4 sin(t)j + k$ is basically a circle, which is defined in the attachment file.

7 0

2 years ago

Garcia's Grill offers 77 side dishes, 55 types of steak, and 88 toppings. How many different smothered steak dinners can be made

svet-max [94.6K]

Answer:

Therefore the total number of ways that the customer can order the smothered steak dinner is 9800.

Step-by-step explanation:

There are 7 side dishes, and types of stake and 8 toppings.

The customer will have a smothered steak dinner.

The smothered steak dinner will consist of steak and 3 different toppings and 4 $\binom{8}{3} = \frac{8!}{3! \times 5!} = 56$ different side dishes.

The number of ways steak can be selected is = $\binom{5}{1} = \frac{5!}{1! 4!} =5$

The number of ways toppings can be chosen is = $\binom{8}{3} = \frac{8!}{3! 5!} = 56$

The number of ways side dishes can be chosen = $\binom{7}{4} = \frac{7!}{4!3!} = 35.$

Therefore the total number of ways that the customer can order the smothered steak dinner is

= 5 × 56 × 35 = 9800.

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2 years ago

Write a number sentence using "of" to describe what portion of the brownie pan with purchased

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Just do the proportions

3 0

2 years ago