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3 years ago

WILL GIVE BRAINLIEST!

Mathematics

1 answer:

SOVA2 [1]3 years ago

7 0

Answer:

The magnitude of the net gravitational force acting on Ify is 9.1 newtons.

Ify is getting pulled in a direction of 6.2 radians.

Step-by-step explanation:

The vector g = (9,-1) describes the net gravitational force acting on Ify.

We can find the magnitude of g, using the Pythagorean theorem.

You might be interested in

A convex figure has three sides what is the sum of its exterior angles

SashulF [63]

A convex figure with three sides is triangle. The sum of the measures of all interior angles of the triangle is 180°.

Let $\alpha, \beta, \gamma$ be interior angles of this triangle. Then

$\alpha+\beta+\gamma=180^{\circ}.$

Find exterior angles of this triangle:

1. $180^{\circ}-\alpha$ is exterior angle adjacent to the interior angle $\alpha.$

2. $180^{\circ}-\beta$ is exterior angle adjacent to the interior angle $\beta.$

3. $180^{\circ}-\gamma$ is exterior angle adjacent to the interior angle $\gamma.$

The sum of the measures of all exterior angles is

$180^{\circ}-\alpha+180^{\circ}-\beta+180^{\circ}-\gamma=540^{\circ}-(\alpha+\beta+\gamma)=540^{\circ}-180^{\circ}=360^{\circ}.$

Answer: 360°

4 0

3 years ago

The regular price for a sweater is $48. The store is having a buy one get one 1/2 off sale. If you buy 4 sweaters for that price

arsen [322]

48+48(the two sweaters you pay full price for)+48(the two half off sweaters are 24$ a piece) so your total for all four sweaters is 144$

4 0

3 years ago

7-x/3=-1-x/8 I'm in 8th grade and I can't figure this out

antiseptic1488 [7]

Answer: x = 38.4

Step-by-step explanation:

7-x/3 = -1-x/8

1. Add 1 to both sides

8-x/3 = -x/8

2. Add x/3 to both sides

8 = x/3 - x/8

3. Multiply x/3 by 8/8 and x/8 by 3/3 to get the same number under the quotient

8 = 8x/24 - 3x/24

4. calculate the difference between 8x/24 - 3x/24

8 = 5x/24

5. Multiply both sides by 24/5, and there is the answer

38.4 = x

7 0

3 years ago

Tell whether the lines through the given points are parallelperpendicular, or neither Line 1: (1, 0), (7, 4) Line 2: (7, 0) , (3

Radda [10]

Answer:

<h3>The lines are perpendicular</h3>

Step-by-step explanation:

We determine whether lines are parallel or perpendicular by getting their slopes

For line 1; (1, 0), (7, 4)

Slope m = 4-0/7-1

M1 = 4/6

M1 = 2/3

Hence the slope of M1 is 2/3

For Line 2; (7, 0) , (3, 6)

M2 = 6-0/3-7

M2 = 6/-4

M2 = -3/2

Take the product of the slopes

M1 * M2 = 2/3 * -3/2

M1M2 = -1

Since the product of their slope is -1, hence the lines are perpendicular

4 0

3 years ago

Triangle ABC is given where m(angle)A=33 degrees, a=15 in., and the height, h, is 9 in. How many distinct triangles can be made

4vir4ik [10]

Answer:

One triangle

Step-by-step explanation:

Find the measures of the triangle ABC

Let

D ----> intersection point of the height triangle ABC with the segment AB

step 1

Find the measure of angle B

In the right triangle BCD

$sin(B)=\frac{CD}{BC}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(B)=\frac{9}{15}$

using a calculator

$B=sin^{-1}(\frac{9}{15})=36.9^o$

step 2

Find the length of segment DB in the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute

$15^2=9^2+DB^2$

$DB^2=15^2-9^2$

$DB^2=144\\DB=12\ in$

step 3

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

substitute the given values

$33^o+36.9^o+C=180^o$

$C=180^o-69.9^o=110.1^o$

step 4

Find the length side AC

In the right triangle ACD

$sin(A)=\frac{CD}{AC}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(33^o)=\frac{9}{AC}$

solve for AC

$AC=\frac{9}{sin(33^o)}=16.5\ in$

step 5

Find the length of segment AD

In the right triangle ACD

$tan(A)=\frac{CD}{AD}$ ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(33^o)=\frac{9}{AD}$

$AD=\frac{9}{tan(33^o}}=13.9\ in$

step 6

Find the length side AB

$AB=AD+DB$

substitute the given values

$AB=13.9+12=25.9\ in$

step 7

The measures of triangle ABC are

$A=33^o\\B=36.9^o\\C=110.1^o\\AC=16.5\ in\\CB=15\ in\\AB=25.9\ in$

The measurements of the ABC triangle are unique

therefore

Only one triangle can be constructed with the given measurements

8 0

3 years ago