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3 years ago

Please Help me I am struggling a lot and I would be very grateful!!!

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

5 0

The answer would be iii: 10-15%
the way to find this is to divide 43 by 381 to get 11.2% which falls in the rage of 10-15%

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find the gradient of the line joining (3,7) and (6,9). Hence, find the acute angle it makes with the positive x-y axis

stiv31 [10]

Answer:

33.7 degrees

Step-by-step explanation:

As we go from (3,7) to (6,9), x increases by 3 and y increases by 2. Thus, the gradient (slope) of the line connecting these two points is

m = rise / run = 2/3. Using the slope-intercept formula y = mx + b, we obtain

7 = (2/3)(3) + b, or 7 = 2 + b, so we see that b = 5 and y = (2/3)x + 5. The y-intercept is (0, 5).

Next we find the x-intercept. We set y = (2/3)x + 5 = to 0 and solve for x:

(2/3)x = -5, or (3/2)(2/3)x = -5(3/2), or x = -15/2, so that the x-intercept is

(-15/2, 0). This line intersects the x-axis at (-15/2, 0).

Now look at the segment of this line connecting (-15/2, 0) and (0, 5). Here x increases by 15/2 and y increases by 5, and so the tangent of the acute angle in question is

tan Ф = 5 / (15/2) = 10 / 15 = 2/3.

Using the inverse tangent function, we get Ф = arctan 2/3, or approx.

33.7 degrees.

I believe you meant "the acute angle it makes with the positive x-axis."

3 0

3 years ago

Find the missing segment.

Bond [772]

Answer:

? = 7.

Step-by-step explanation:

The two triangles are similar because of the AA Theorem.

The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!

$\frac{9}{9+3} =\frac{21}{21 + ?}$

$\frac{9}{12} =\frac{21}{? + 21}$

$\frac{3}{4} =\frac{21}{? + 21}$

$\frac{1}{4} =\frac{7}{? + 21}$

? + 21 = 7 * 4

? + 21 = 28

? = 28 - 21

? = 7

Hope this helps!

3 0

3 years ago

Solve the equation.<br> 2log10^3x = 4

stepladder [879]

First evaluate the exponent to 2 log(1000x)=4
Then divide both sides by the same factor 2
Then cancel terms and divide to then simplify to get your answer as log(1000x)=2

3 0

2 years ago

Anna has 30 feet of fence to go around her garden.the lettuce will be in a 8 ft × 5 ft section and the carrots will be in a 2 ft

Zanzabum

No it wont work, she can get rid of 24 feet of lettuce, then everything will work.

4 0

3 years ago

What is the slope of the line?

WINSTONCH [101]

Answer:

4/5 or in decimal form .8

Step-by-step explanation:

Rise over run, it rose 4 and ran 5

4 0

3 years ago