Solve x in the equation X2-12x+36=90

What is BC? <br> enter your answer in the box<br> units

Blababa [14]

Since Angles B and C are equal, the sides AB and AC must also be equal, so you can set the equations equal to each other and solve for x. Then to find the length of BC, x can be plugged into the equation for that side length.

4x+4=6x-14
Add fourteen to each side to get x alone on the right side
4x+4+14=6x-14+14
4x+18=6x
Subtract 4x from each side to get all of the x's on one side of the equation
4x+18-4x=6x-4x
18=2x
Divide each side by two to find the value of one x
18/2=2x/2
9=x
Now that you know x equals 9, plug that into the equation for side length BC:
2x+7
2(9)+7
Multiply 2 by 9 to get rid of the parentheses
18+7
Add to simplify
25

The side of the triangle, BC, equals 25

7 0

3 years ago

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Hm

melomori [17]

Answer:

108m

Step-by-step explanation:

Hello, to find the height of the bigger triangle, you take the width of the bigger triangle and divide by the width of the smaller triangle like this:

72/0.8=90

Then, you take 90 and you multiply it by the height of the smaller triangle like this:

1.2 x 90= 108

So the height of the bigger triangle is 108m.

6 0

3 years ago

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Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to

galben [10]

Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use $Cos$ (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which $Cos$ , Hypotenuse, and Adjacent side.

$Cos^{-1} =45/100$

Now, let's solve the left part of this function

$
Cos^{-1} =0.45$

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

$Cos^{-1} =0.45$
$63.25631605$

Awesome. Let's round this number to the closest tenth

$63.3$ is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

5 0

2 years ago

Greg's grocery store placed an order for yogurt. The store ordered 1,020 cartons of yogurt. Each carton ordered was blueberry, P

marin [14]

Answer:

544

Step-by-step explanation:

The ratios of cartons are ...

B : P = 2 : 1

S : L = 2 : 1

L : B = 2 : 1

Combining these into a single set of ratios, we have ...

S : L : B : P = 8 : 4 : 2 : 1

Then the proportion of the order that is strawberry is ...

8/(8+4+2+1) = 8/15

and the number of strawberry cartons is ...

(8/15)·1020 = 544

The store ordered 544 cartons of strawberry yogurt.

4 0

3 years ago

2. If ¡2x+3 = i, where i = V-1, then which of the

Alexus [3.1K]

I assume you mean the equation

$i^{2x+3} = i$

Since i = √(-1), we have i⁴ = 1 and so i⁵ = i. Then 2x + 3 must be some multiple of 5.

Now just check for which of the given choices that this holds:

x = 16 ⇒ 2x + 3 = 35 (yes)

x = 11 ⇒ 2x + 3 = 25 (yes)

x = 10 ⇒ 2x + 3 = 23 (no)

x = 14 ⇒ 2x + 3 = 31 (no)

6 0

2 years ago