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3 years ago

A straight angle is split in the ratio 3:1:4. Find the measure of each angle.

Mathematics

1 answer:

lozanna [386]3 years ago

4 0

Answer: The angles are 67.5°, 22.5° and 90°.

Step-by-step explanation:

It should be noted that a straight angle is always equal to 180°.

The straight angle is split in the ratio 3:1:4.

The measure of each angle will be:

a. = 3/(3+1+4) × 180°

= 3/8 × 180°

= 67.5°

b. 1/8 × 180° = 22.5°

c. 4/8 × 180° = 90°

The angles are 67.5°, 22.5° and 90°.

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Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.

Olin [163]

Answer:

The correct option is d

$f(1) = -5$

$f(2) = 11$

The correct option is d

The correct option is c

the correct option is b

Step-by-step explanation:

The given equation is

$f(x) = x^4 + x -7 =0$

The give interval is $(1,2)$

Now differentiating the equation

$f'(x) = 4x^3 +7 > 0$

Therefore the equation is positive at the given interval

Now at x= 1

$f(1) = (1)^4 + 1 -7 =-5$

Now at x= 2

$f(2) = (2)^4 + 2 -7 =11$

Now at the interval (1,2)

$f(1) < 0 < f(2)$

i.e

$-5 < 0 < 11$

this tell us that there is a value z within 1,2 and

f(z) = 0

Which implies that there is a root within (1,2) according to the intermediate value theorem

5 0

3 years ago

Calculate 4 and 3/4 divided by 2 and 5/12

sp2606 [1]

Answer:1.965517241

Step-by-step explanation:

6 0

3 years ago

Can anyone help me on this i am very struggling and having a hard time on this

maks197457 [2]

Answer:

y= 143°

x= 37°

Step-by-step explanation:

y is 143° cause they are the same thing just on the other side.

x us 37°cause 180-143 is 37.

4 0

4 years ago

What is the area of a parallelogram with a base of 8 m and a height of 6 m?

shtirl [24]

Answer:

48 square m

Step-by-step explanation:

The area of a parallelogram is simply b * h, where b is base and h is height. In this case, b = 8 and h = 6. So:

A = bh = 8 * 6 = 48 square m

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4 years ago

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pav-90 [236]

Here is the answer to your question

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3 years ago