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sesenic [268]
3 years ago
12

Share 68 in the ratio 8:9

Mathematics
1 answer:
nalin [4]3 years ago
5 0

Answer:

68:76.5

Step-by-step explanation:

create the ratio 68/x=8/9, then simplify the side you can so get 68/x=.8888... then multiply both sides by x to get rid of the fraction, 68=.8888...x. now divide both sides by .8888... to get x by itself, 76.5=x

if you have any questions, leave them int eh comments and i will try to answer them, if this helped, pls give brainliest

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A plane is descending onto the runway with an angle of depression of 55°. If it has 2.8 miles to go before landing (hypotenuse),
nalin [4]

Answer:

Option C is correct

Step-by-step explanation:

Given: A plane is descending onto the runway with an angle of depression of 55°. Also, it has 2.8 miles to go before landing.

To find: current altitude of the plane

Solution:

Consider the attached image.

In ΔABC,

\angle ACB=55^{\circ} (Alternate interior angles)

For any angle \theta,

tan \theta = side opposite to angle/side adjacent to angle

\tan C=\frac{AB}{BC}

Put \angle C=55^{\circ}\,,\,BC=2.8\,\,miles

AB=2.8\,\tan 55^{\circ}=3.999\approx 4\,\,miles

So, the current altitude of the plane is 4 miles.

Download pptx
4 0
3 years ago
What is the slope of the line that passes through the points (-2, 7) and (2, -5)?
amm1812

Answer:-3

Step-by-step explanation:

6 0
3 years ago
.
RideAnS [48]
Since the number of members attending is 40, you can eliminate 17 as a possible answer, as it is smaller than 40. You can also eliminate 240 because 40 members is 60%, so the answer must be less than 80. You are now left with 67 and 73. 

It is (a) because 40 divided by 67 = 0.597. 0.597 x 100 = 59.7% which is rounded to 60% of the club
4 0
3 years ago
Read 2 more answers
A project on Kickstarter.com was aiming to raise $15000 for a precision coffee press. They ended up with 714 supporters, raising
Leni [432]
For this, we can set up a proportion.
Their aim was 15000, so if they raised 100% of their goal, they wouldve raised exactly 15000.
They raised 557%, so how much did they make?

Proportion:

$15000 100%
$x 557%

Our expression would be x=$15000*557% divided by 100%, which would be $83550, so... a lot of money.

(we did an “x” formation with the proportion, ie “connected” x with 100, and “connected” 15k and 557. The number connecting to x is what we divide the equation by, and the other two are multiplied and then divided by the first number connecting to x. Otherwise we couldve calculated 557% of 15000 and gotten the same result. Whichever way is easier for you :) )
3 0
4 years ago
The first three steps in writing f(x) = 40x 5x2 in vertex form are shown. write the function in standard form. f(x) = 5x2 40x fa
Mkey [24]

The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).

<h3>What is the parabola?</h3>

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The function f(x) = 5x² + 40x

Then add and subtract 80, then we have

f(x) = 5x² + 40x + 80 – 80

f(x) = 5(x² + 8x + 16) – 80

f(x) = 5(x + 4)² – 80

The vertex of the parabola will be at (–4, –80).

More about the parabola link is given below.

brainly.com/question/8495504

6 0
2 years ago
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