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balandron [24]
3 years ago
11

Find the missing value for X

Mathematics
1 answer:
castortr0y [4]3 years ago
7 0
If we assume that BC is bisecting AD, and that AE is half of AD, we can set up the equation:

2(19)=5x-7

Then we can solve directly for x:

38=5x-7
45=5x
x=9

So we have then calculated x which is equal to 9.
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Choose the correct answers for amount financed and the finance charge in dollars for the following problem. Curtis Hindle purcha
gulaghasi [49]

<u>Answer:</u>

Total paid = $717.3

Finance charge = $167.3

<u>Step-by-step explanation:</u>

The cost price of mountain bike = $550

The down payment on bike = 75% of $550 = 0.75 * 550 = $412.5

We know that he will make 12 payments of $25.40 each so total monthly payments = 12 * 25.40 = $304.8

The total amount paid = Down payment + Total monthly payments = $412.5 + $304.8 = $717.3

The finance charge = Total amount paid - Cost price = $717.3 - $550 = $167.3

3 0
3 years ago
the diameter of a can is 8cm the height is 12cm work out how much water is in the can using method V = PI r2h. use 3 as the vaul
givi [52]
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7 0
3 years ago
A man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. How fast
Talja [164]

Answer:

4.41 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.

We will use Pythagoras theorem to solve for the length of side x as:

x^2+16^2=34^2

x^2=34^2-16^2

x^2=900\\\\x=30

Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.

x^2+16^2=y^2

Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:

2x\cdot \frac{dx}{dt}+0=2y\cdot \frac{dy}{dt}

We have been given that \frac{dx}{dt}=5 , y=34 and x=30.

2(30)\cdot 5=2(34)\cdot \frac{dy}{dt}

300=68\cdot \frac{dy}{dt}

\frac{dy}{dt}=\frac{300}{68}

\frac{dy}{dt}=4.4117647058823529

\frac{dy}{dt}\approx 4.41

Therefore, the man must let out the string at a rate of 4.41 feet per second.

8 0
3 years ago
Is the equation true or false when x = 4? (3−x28)⋅12=3x(3−x28)⋅12=3x true false
KatRina [158]

Answer:

It’s true

Step-by-step explanation:

6 0
3 years ago
If you need 4 tables spoons of golden syrup to make 10 cupcakes, how many tables spoons of golden syrup will you need to make 4
Nikitich [7]

Answer:

1.6 tablespoons

Step-by-step explanation:

Let’s make a proportion

syrup/cupcakes=syrup/cupcakes

4 tablespoons are needed for 10 cupcakes and x tablespoons are needed for 4 cupcakes.

4/10=x/4

Now we have to solve for x. x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.

4*4/10=x/4*4

The 4s on the right will cancel, so we are left with:

4/4*10=x

1.6=x

So, 1.6 tablespoons are needed for 4 cupcakes.

7 0
3 years ago
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