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3 years ago

Find the area of the following figure. 14.0 cm2 10.5 cm2 28.1cm2 17.6 cm2

Mathematics

1 answer:

Levart [38]3 years ago

7 0

First option: 14.0 cm^2

Area of semicircle + area of triangle
1/2(pi)(r^2) + 1/2(b)(h)
1/2(3.14)(1.5^2) + 1/2(3)(7)
3.53+ 10.5
14.03 cm^2

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You pull a sled across a horizontal frictionless patch of snow. If your pulling force is in the same direction as the sled's dis

nexus9112 [7]

Answer:

The kinetic energy of the sled is going to increase by 18.75%

Step-by-step explanation:

The work W realized by a Force F is given by:

$W=F_x*x$

Where x is the displacement and $F_x$ is the component of the force that is parallel to the displacement.

Additionally, the work is equal to the change in the kinetic energy

$W=K_f-K_i$

If your pulling force is in the same direction as the sled's displacement, we can said that: $F=F_x$

And if increases the kinetic energy of the sled by 27%, we can said that:

$K_f-K_i=0.27K_i$

So, we can formulate the following equation:

$W=F*x\\W=0.27K_i\\\\F*x=0.27K_i$ (1)

On the other hand, if the pulling force acted at an angle of 46° above the horizontal, the work is:

$W=F_x*x=Fcos(46)*x=F*x*cos(46)$ (2)

Then, replacing (1) in (2), we get:

$W=F*x*cos(46)=0.27K_i*cos(46) = 0.1875K_i$

Finally, the kinetic energy increase by 18.75% because:

$W=K_f-K_i\\W=0.1875K_i\\\\K_f-K_i=0.1875K_i$

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3 years ago

Enter the slope Intercept equation of The line that has Slope 2 And y intercept (0,9)

mel-nik [20]

Answer:

$y=2x+9$

Step-by-step explanation:

Slope-intercept form is $y=mx+b$ , where 'm' represents the slope and 'b' represents the y-intercept.

In the given question, the slope is 2, so two will replace 'm'.

$y=mx+b\rightarrow y=2x+b$

The y-intercept is (0,9) which is written as " + 9 " in the squat ion. 9 replaces b.

$y=2x+b\rightarrow y=2x+9$

So, the slope intercept equation of the line that has slope 2 And y intercept (0,9) is:

$\boxed {y=2x+9}$

Brainilest Appreciated.

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3 years ago

Lucy had been doing a little bit of work around her mom's office, and her mom planned on paying Lucy with the funds from a reimb

BartSMP [9]

Since Lucy's mom needs to pay for a little bit of work she did, there could two ways her mom could her such as:
1. Her mom will give her the reimbursement check to encash that would serve as a payment to her.
2. Her mom can encash the check and give her the amount that would compensate her work done.

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3 years ago

Triangle FUN, with vertices F(−2, 4), U(0, −5), and N(−3, −8) was dilated to form triangle PET with vertices P(−1.6, 3.2), E(0,

NARA [144]

Answer:

For first question answer is D.0.8

For second question answer is D.ΔMGR is similar to ΔNST.

Step-by-step explanation:

Here triangle FUN is dilated to get triangle PET

So, let's take F and P.

F(-2,4) and P(-1.6, 3.2)

Let's find the scale factor by dividing the coordinates.

Scale factor = $\frac{-1.6}{-2} =0.8$

Using y coordinates of the same points

Scale factor = $\frac{3.2}{4} =0.8$

So, scale factor is 0.8

Now, for the second problem

<G= <S

<R= <T

<M=<N

So, the corresponding angles are congruent when two triangles similar.

So, we can say ΔMGR is similar to ΔNST.

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4 years ago

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Helen [10]

X is itself for there is no equation to prove otherwise.

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4 years ago