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3 years ago

Find BC please in the picture

Mathematics

1 answer:

tatiyna3 years ago

7 0

B. 25 Km. The measure of BC is 25 km.

The easiest way to solve this problem is using the cosine theorem c = √a²+b²-2ab*cos A.

BC = √AC²+AB²-2(AC)(AB)*cos A

BC = √(21km)²+(14km)²-2(21km)(14km)*cos 89°

BC = √441km²+196km²-588km²*(0.017)

BC =√637km²-10.26km²

BC = √636.74km²

BC = 25.03km ≅ 25

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A recipe used 2/3 of sugar for every 2 teaspoons of vanilla.how much sugar was used per teaspoon of vanilla.

mrs_skeptik [129]

Hi there,

The answer is 1/3 cup per teaspoon. Here’s how...

All you have to do is divided 2/3 by 2.

We have to put a 1 under the 2 to at least represent it as a fraction.

2/3 / 2/1

Next we flip 2/1 into 1/2.

2/3 / 1/2

Now we are going to multiply.

2x1=2

3x2=6

We get 2/6, simplifying that we get 1/3 cup per teaspoon.

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3 years ago

The sum of 5 times one number and 2 times a second number is 57. The sum of the two numbers is 18

slava [35]

1st number=7 and 2nd number =11

Step-by-step explanation:

5x+2y=57

x+y=18

7+11=18

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3 years ago

Combine the like terms to simplify the expression 3x-4+2x+8

uysha [10]

Answer:

x +4

Step-by-step explanation:

3x-4+2x+8

Combine like terms

3x+2x -4+8

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3 years ago

Read 2 more answers

Please help asap 100 points

vesna_86 [32]

Answers:

Problem #1: Option C, 166 yards cubed

Problem #2: Option A, 10

Step-by-step solution:

The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it. Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.

Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder. However, before doing that we need to determine the radius of the circle from the diameter that was given.

Divide the diameter by two to get the radius

$Radius = \frac{Diameter}{2}$

$Radius = \frac{5.2\ yd}{2}$

$Radius = 2.6\ yd$

Plug in the values

$V_{cylinder} = (\pi * radius^2)*height$

$V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd$

Simplify the exponent

$V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd$

$V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd$

Simplify the expression

$V_{cylinder} = (21.237\ yd^2)*7.8\ yd$

$V_{cylinder} = 165.65\ yd^3$

Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.

Now that we completed the first question, we can move onto the second question. In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of. We need to use the Secant-Secant Power Theorem to help determine our solution.

Make an expression to represent the scenario

$32(x + 32) = 28(20 + 28)$

We know have an expression which we can now simplify and get the value of the unknown easily. The first step would be to distribute the 32 and 28.

Distribute both sides