Part A Write a numerical expression to represent the approximate perimeter of triangle FGH in terms of the lengths of its sides.
side FG and FH are 5.8 and side HG is 6 units ​

Answer:

a = 51°

b = 67°

Step-by-step explanation:

Angle a is equal to 51 since it is vertically opposite to the angle on top of it.

Angles in a triangle add up to 180 so Angles a,b and 62 should add up to 180:

a+b+62=180

51+b+62=180

b= 180-(51+62)

b= 180-113

b= 67

Answer:

14.7

Step-by-step explanation:

The given horizontal line is in the center of the circle (indicated by the black dot in the middle), so you can divide 17.5 by 2 in order to find the length of the leftmost segment of the triangle (8.75).

To solve for x, we use the pythagorean theorem as this is a right triangle:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]11.8^{2} + 8.75^{2} = x^{2}\\139.24 + 76.5625 = x^{2}\\215.8025 = x^{2}\\x = 14.6902178...[/tex]

This is 14.7 when rounded to the nearest tenth

Answer:

c. (1, -7).

Step-by-step explanation:

Substitute the given values to see which set fits:

y = -11x + 4

Try (0, -7):

-11(0) + 4  = 4 . Not this one as we are looking for the result -7.

Try (-1, -7):

-11(-1) + 4  = 11+4 = 15.   Not this one as we are looking for the result -7.

Try (1, -7):

-11(1) + 4  = -11+4 = -7.  This is correct.  

Answer:

$14.82

Step-by-step explanation:

14.25 + (4% × 14.25) =

14.25 + 4% × 14.25 =

(1 + 4%) × 14.25 =

(100% + 4%) × 14.25 =

104% × 14.25 =

104 ÷ 100 × 14.25 =

104 × 14.25 ÷ 100 =

1,482 ÷ 100 =

14.82

Explanation:

Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.

Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.

Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.

Choice D is ruled out for similar reasoning as choice A. Recall that [tex]\sec(x) = \frac{1}{\cos(x)}[/tex]

Answer:

0 ≤ sin x < 1/2.

Step-by-step explanation:

sin π6 = 1/2

sin 5π/6 = 1/2

sin 0 and sin 180 = 0

The dotted line indicates that the value of the sine is less than 1/2 and the solid line indicates that value  is greater or equal to zero.

So the inequality is 0 ≤ sin x < 1/2

Answer: 5

Step-by-step explanation:

      We can use ratios / proportions to solve for x. I am going to have the shorter segment on the top of our fractions (the numerator), and the longer segments on the bottom (the denominator).

[tex]\frac{10}{10+12} =\frac{4x-5}{33}[/tex]

[tex]\frac{10}{22} =\frac{4x-5}{33}[/tex]

      Now I am going to cross multiply:

10 * 33 = 22(4x - 5)

330 = 88x - 110

440 = 88x

5  = x

x = 5

Answer:  Yes

Step-by-step explanation:

I hope this makes sense!  : )

Answer:

Your answer is -3

Step-by-step explanation:

Set the functions equal to each other, then solve for the variable.

Answer:

24040.625

Hope this helped! I'm not good at explaining the steps, but this is the answer.

-0.5 cannot represent the probability of an event.

Correct option is (A).

This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Arithmetic uses probability to predict how probable certain events are to occur. Probability generally refers to the degree to which something is likely to occur.

As per the given data:

We have to find out that, which of the following numbers CANNOT represent the probability of an event.

Probability of an event = [tex]\frac{Favorable \: Events}{Total \: Number \: of \: Events}[/tex]

Favorable events or total number of events can never be negative, hence the probability of any event cannot be negative.

So from the above reasoning we can say that -0.5 cannot represent the probability of an event.

Hence, -0.5 cannot represent the probability of an event.

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Answer:

What we know:

Our challenge:

Let's set up an equation,

-we'll assume that 'x' are the unknown hours spent on the bus.

The unknown hours spent on the bus plus the hours spent both on walking/and the train will equal a total of 39 hours.

So,

14 + x = 39

Solve for x;

-14        -14

x = 25, the hours Jerry spent riding on the bus is 25 hours.

Answer:

25 hours

Step-by-step explanation:

Given

Solving

Answer:

36 in²

Step-by-step explanation:

Area of the figure

Answer:

The answer is 36 ft²

Step-by-step explanation:

Let us divide this whole figure into 2 rectangle, a big and a small.

Rectangle 1: (Small)

(Area 1) = l × b

A = 2 × 3 = 6 square ft

Rectangle 2: (Big)

(Area 2) = l × b

A = 6 × 5 = 30 square ft

Now,

Total Area of figure = Area of Rectangle 1 + Area of Rectangle 2.

Total Area = 6 + 30 = 36 square ft.

Thus, The area of the figure is 36 ft².

Answer:

[tex]beinggreat78~here~to~help![/tex]

The price increased by %60. Why? Because 160% of 500 is 800, so that must mean the percent only increased by 60.

Answer:

2408.55 cubic yards

Step-by-step explanation:

use pi times radius squared times height, then divide by 3

Answer:

40/25 or 1.481

Step-by-step explanation:

I dont know if its right but the multiplication give me this fraction or this decimal. Hope it helps :)

The transformations that would prove that circles A and C are similar are:

The circles are given as:

Circle A and B

Assume the following parameters:

To start with;

The circle A must be reflected across the line y = x with the following transformation rule:

(x,y) -> (y,x)

So, we have:

(2,3) -> (3,2)

Next, the radius of A must be dilated by 3/2 as follows:

New Radius = 3/2 * 2 = 3

After the transformations, we have the following parameters:

Notice that both circles now have the same center and radius.

Hence, both circles are similar

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Answer:

Step-by-step explanation:

Step: 1: Convert mixed fraction to improepr fraction.

Step: 2 : Find the LCM of 4 , 5 = 20

Step 3: Find equivalent fractions with denominator as 20

Step 4: Now subtract.

[tex]3\dfrac{1}{4}-1\dfrac{3}{5}=\dfrac{13}{4}-\dfrac{8}{5}[/tex]

             [tex]\sf = \dfrac{13*5}{4*5}-\dfrac{8*4}{5*4}\\\\\\ = \dfrac{65}{20}-\dfrac{32}{20}\\\\\\ = \dfrac{65-32}{20}\\\\\\ = \dfrac{33}{20}\\\\ \\ = 1 \dfrac{13}{20}[/tex]

Geometric series means

Lets spot out common ratio

Its less than 1

Hence series converges

Sum:-

Answer:

Series converges

Sum = 192

Step-by-step explanation:

General form of geometric series:   [tex]a_n=ar^{n-1}[/tex]

where:

Given series:  48, 36, 27, 81/4, ...

[tex]\implies a = 48[/tex]

[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{36}{48}=\dfrac34[/tex]

Geometric series converges when |r| < 1

Geometric series diverges when |r| ≥ 1

[tex]\textsf{As }r=\dfrac34\ \implies|\dfrac34| < 1\:\implies\:\textsf{series converges}[/tex]

Sum of an infinite geometric series:

[tex]S_\infty=\dfrac{a}{1-r}\quad\textsf{for}\:|r| < 1[/tex]

Substituting values of a and r:

[tex]\implies S_\infty=\dfrac{48}{1-\frac34}=192[/tex]

Answer:

3rd graph

Step-by-step explanation:

Answer:

2n - 50

n the unknown number

twice  = 2n

50 less than it = 2n - 50

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

I just did this

The figure which has rotational symmetry is figure A.

It is the property of a shape that it looks same after some rotation by a partial turn.

In the figure given first shape has equal length of sides at each direction which means that if we rotates this figure then we will get same looking figure.

In the second figure when we rotates the figure vertically the it will look like a tower.

When we rotates the third figure they also look different.

In the graph figure are shown after some rotation.

Hence among all the figures given first figure has rotational symmetry.

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Answer:

Step-by-step explanation:

Just as the “stop sign” uses its 8 sides to communicate about “sharing the stop in all directions”, the yield sign’s 3 sides communicate as well. That triangle communicates that things’ll get tighter and tighter for you, as you move up. It’s sort of implicit - your space is going away. You need to stop and yield to others whose space hasn’t gone away.

-lukelaws

please brainiest in almost another level up!

Answer:

f(x) = 8 + 0.25x

Step-by-step explanation:

The minimum cost is $8, for up to 4 pounds.

The added cost is ($0.25/oz)(x), where x is trhe ounces over 4 pounds

The total cost is the sum of these two:

f(x) = 8 + 0.25x

Answer:

(D) 29.3

Step-by-step explanation:

The answer is all the days added together and then divided by 10.

20+30+40+38+25+22+39+22+26+31=293.

293/10=29.3

Answer:

15

Step-by-step explanation:

First we can make an equation by replacing the unknown number with x :

First step of problem:

x-6

Second part of problem:

4(x-6)

Third part of the problem:

4(x-6)=36

First we can expand the bracket to give us:

4x-24=36

Now we add 24 to both sides:

4x = 60

Now we divide both sides by 4 for our final answer of

x= 15

To check this answer we can put it back into the problem:

4(15-6)=36

4(9)=36

✅

Therefore our answer that was thought was 15.

Answer:

K ∩ L = {a, e, i, n, q, t, u}

K ∪ L = {a, e, i, l, n, o, q, t, u, y}

Step-by-step explanation:

Write the sets in alphabetical order

K = {a, e, i, n, o, q, t, u}

L = {a, e, i, l, n, q, t, u, y}

Set of all values that are members of both sets:

K ∩ L = {a, e, i, n, q, t, u}

Set of all values that are members of K, or L, or both:

K ∪ L = {a, e, i, l, n, o, q, t, u, y}