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 ​

Part A Write A Numerical Expression To Represent The Approximate Perimeter Of Triangle FGH In Terms Of

Answers

Answer 1

p=FG+FH+HG =5.8+5.8+6 is a numerical expression to represent the approximate perimeter of triangle FGH.

Perimeter

The perimeter of a geometric figure is the sum of its sides.

The question  gives:

the geometric figure - trianglethe sides of the triangle - 5.8, 5.8 and 6

Therefore the perimeter will be the sum of 5.8, 5.8 and 6. You can write as:

                                         p=FG+FH+HG

                                         p= 11.6+6=17.6

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Related Questions

Please help me ASAP.

Answers

The 3 inside angles of a triangle need to equal 180.


X = 180 - 70 - 20 = 90


x = 90 degrees

At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes.

What is the ratio of juniors to seniors at 2:00 p.m. in fraction form?

Answers

The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37

What is ratio?

Ratio is a term that is used to compare two or more numbers.

Therefore,

At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,

The Junior population at 2:00 pm is as follows;

12 pm to 2pm is 120 minutes

Then, 120 / 15 = 8

20 × 8 = 160 students

The junior student increased by 120 by 2pm.

The Senior population at 2:00 pm is as follows;

45 × 8 = 360 students

360 senior student left by 2 pm.

Therefore,

Junior student by 2pm = 700 + 160 = 860 students

Senior student by 2 pm  = 110 - 360 = 740 students

The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37

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A pillar is fixed in the centre of a circular meadow with diameter of 60 metres. The angle of elevation of its top was found to be 60%, when observed from a point of the circumference of circular meadow. Find the height of the pillar from the ground.​

Answers

Answer:

17 meters

Step-by-step explanation:

|\ angle = 60 degrees here of triangle
|   \              <-- digitaly drawn triangle
|___\

cirlcle diameter is 60 meters, since pillar is at the center then the distance of the pillar to the edge of the circlular meadow is (60/2) 30 meters.

30 meters is opposite of the angle.

The height of the pillar is adjacent to the angle so use tangent to solve

Tan(60) = 30/x

Tan(60) = 1.7; make sure that calculator is in degrees and not in radians to not get an incorrect value

1.7 = 30/x --> 1.7x = 30

x = 30/1.7

x = 17.3205 meters

using 2 significant figures gives us 17 meters

A regular octagon has an apothem of approximately 4.0 cm and a perimeter of approximately 26.4 cm. Find the area of the octagon. ​

Answers

Answer:

[tex]52.8cm^{2}[/tex]

Step-by-step explanation:

Perimeter = 26.4 cm

Apothem = 4.0 cm

The area of an regular octagon can be defined as the [tex]\frac{perimeter*apothem}{2}[/tex]

when we plug in our values we get the equation [tex]\frac{26.4cm*4.0cm}{2}=52.8cm^{2}[/tex]

write a word phrase that means the samme as x/4

Answers

A number x divided by four

Use the Pythagorean Theorem to determine if a triangle with side lengths √2 ft., √3 ft., √5ft. is a right triangle.

A:) Yes it is a right triangle
B:) No it is not a right triangle

Answers

Answer:

A:) Yes it is a right triangle

Step-by-step explanation:

[tex]~~~~\left(\sqrt{5} \right)^2= \left(\sqrt{2} \right)^2+\left(\sqrt{3} \right)^2\\\\\implies 5=2+3\\\\\implies 5=5[/tex]

Answer:

A

Step-by-step explanation:

using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = [tex]\sqrt{5}[/tex] , and ([tex]\sqrt{5}[/tex] )² = 5

([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{3}[/tex] )² = 2 + 3 = 5

Thus the 3 sides form a triangle

angle properties pls help

Answers

Answer: Which question I’ll do a

Step-by-step explanation:

Since it is turned into an 100 degree angle you do length times width and you will get your answer 90 degrees

Was this helpful

Max was browsing Amazon on his phone and decided to purchase the newest Adidas shoes. He bought
them for $280. Unfortunately, a newer version was released a week later and his shoes began depreciating
in value rapidly. Every week the value of the shoes decreases by 8%. how much will the shoes be worth
in 2 months (8 weeks)?

Answers

Answer:

  $143.70

Step-by-step explanation:

The multiplier of value each week is (1 -8%) = 0.92. After 8 weeks, the original value will have been multiplied by 0.92^8.

__

The value of the shoes after 8 weeks is ...

  $280(0.92^8) ≈ $143.70

Choose the correct answer in each number.

1. It is the sum of all areas of lateral faces
and bases of solid figure.
A. Base area B. Lateral area C. Surface area D. None of the above

2. A flat pattern that you can fold to form a solid figure is called a/an _____.
A. Area B. Edge C. Face D. Net

3. The surface area of a cube is _____ times the area of its face.
A. Three B. Four C. Five D. Six

4. In a cylinder, the edge or length of the lateral surface is equal to _____ of its base.
A. Circumference B. Perimeter C. Radius D. All of the above

5. The lateral surface of a cylinder when it is unrolled will be _____
A. Rectangle B. Trapezoid C. Triangle D. All of the above

6. The solid figure that has surface area equivalent to for times the areas of circles of the same radii is _____.
A. Cube B. Cone C. Tetrahedron D. Sphere

7. To get the lateral area of a cone, we use the formula _____.
A. L.A.=πr2 B. L.A.=πrs C. L.A.=πrh D. L.A.=rh

8. The sum of the area of the square base and four triangular lateral faces is the surface area of _____.
A. Cube B. Rectangular prism C. Pyramid D. Cone

9. The unit for surface area is _____.
A. Cubic unit B. Linear unit C. Square unit D. Weight unit

10. A cone has a radius of 5 cm and slant height of 7.1 cm. What is the unit of measure appreciate for its surface area?
A. Square milimiter (mm2) B. Square centimeter (cm2) C. Square decimeter (dm2) D. Square meter (m2)​

Answers

Answer:

A

B

A

C

D

C

A

B

B

D

Step-by-step explanation:

Given A= (-3,6) and B=(10,-8) what is the length of AB

Answers

[tex]\text{Given that,}\\\\A(x_1,y_1) = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units[/tex]

In a survey, 125 people were asked to chose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 3
.

Answers

Answer:

There is no table, so I'll just calculate the theoretical.

125/5=25.

So, 20% to get a card with the number 3

A figure was moved 5 units to the right, then a
mirror image was made. Which transformations were used? Rotation, dilation, reflection, translation

Answers

Answer:

Step-by-step explanation:

First a translation then a reflection.

PLS HURRY AND TY!!!

Write eight and three hundred twenty-four thousandths in standard form.​

Answers

Answer:

0.324 inch

Step-by-step explanation:

When asked to write two hundred thousandths as a decimal, three students gave three different answers as shown below. so you have to find by decimals..

before getting to school john has a few errands to run john has to walk 5 blocks to the galley and 9 blocks to the library before walking the final 7 blocks to arrive at school if john has already walked 12 blocks how many more blocks must he walked before arriving school

Answers

Answer:

  9 blocks

Step-by-step explanation:

The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.

  12 + more = 5 + 9 + 7

  more = 9 + 5 + 7 - 12 . . . . . subtract 12 from both sides

  more = 9

John must walk 9 blocks more.

_____

We recognize that 5+7 = 12, so that last part of the sum totals zero.

Find the length of the third side. If necessary, round to the nearest tenth

Pythagorean Theorem (Rounding)

Answers

Answer:

It's 3.5

(from the answer 3.464101615)

Hope this helps!

2^2 + x^2 = 4^2
4 + x^2 = 16
-4 -4
√ X^2 = √ 12
X = √ 4 and √ 3
X = 2 √ 3
X = 3.46

The sequence below is arithmetic:
{3, -6, -15,-24}
True
False

Answers

Answer:

True

Step-by-step explanation:

For the sequence to be arithmetic there must be a common difference d between consecutive terms.

a₂ - a₁ = - 6 - 3 = - 9

a₃ - a₂ = - 15 - (- 6) = - 15 + 6 = - 9

a₄ - a₃ = - 24 - (- 15) = - 24 + 15 = - 9

There is a common diffence between consecutive terms, thus the sequence is arithmetic.

9. The value of U.S. postage stamps increases ~5% per year. The current price is 55C. Estimate what the price will be in 20 years​

Answers

Answer:

$1.46

Step-by-step explanation:

We can use the principal of compound interest to solve this with the formula:

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

where P = initial principal

r = interest rate

n = number of times applied per time period

t = time periods elapsed

In this specific case, P = 0.55, r = 0.05, n = 1, and t =20

[tex]0.55(1+\frac{0.05}{1})^{1*20} = 0.55(1.05)^{20} = 0.55(2.65) = 1.46[/tex]

Look At the picture I am not sure how to calculate the area

Answers

Answer:

height = 5.33 m (nearest hundredth)

area of wall = 41.66 m² (nearest hundredth)

Step-by-step explanation:

To find the height of A above the ground, find the height of the triangle and add it to the height of the rectangle.

The dashes on the sides of the triangle mean they are equal in length. Therefore, this triangle is an isosceles.  If we draw a line down the center of the triangle to create 2 right triangles, their top angles will be 65° (half of 130°) and they will each have a base length of 5 m (see attached diagram).

To find the height, use the tan trig ratio:

[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] = angleO = side opposite the angleA = side adjacent to the angle

Given:

[tex]\theta[/tex] = 65°O = 5 mA = h

[tex]\sf \implies tan(65)=\dfrac{5}{h}[/tex]

[tex]\sf \implies h=\dfrac{5}{tan(65)}[/tex]

[tex]\sf \implies h=2.331538291...[/tex]

Therefore, the height of A above the ground:

⇒ height = 3 + 2.331538191 = 5.33 m (nearest hundredth)

----------------------------------------------------------------------------------------

To find the area of the wall, sum the area of the rectangle and the area of the triangle.

Area of rectangle = width x height

                              = 3 x 10

                              = 30 m²

Area of triangle = 1/2 x base x height

                          = 1/2 x 10 x 2.331538191

                          = 11.65769145 m²

Total area of wall = 30 + 11.65769145 = 41.66 m² (nearest hundredth)

PLEASE ANSWER! (4 - QUESTIONS) 50 POINTS + WILL RECEIVE BRAINLIEST!

1. The volume of a cylinder is 461.58 cubic inches. If the cylinder has a height of 3 units, what is the radius of the cylinder? Use 3.14 for pi.

2. Find the volume of the cone that has a height of 12 and diameter of 12. Use 3.14 for pi. Round your answer to the nearest tenths place.

3. Find the volume of the hemisphere that has a radius of 7 inches. Use 3.14 for pi. Round your answer to the nearest hundredth.

4. The volume of a sphere is 407.51 cubic units. What is the diameter of the sphere?

Answers

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

a) Volume of cylinder = π * radius² * height

461.58 = 3.14 * radius² * 3

radius = 7 in

b) Volume of cone = (1/3) * π * radius² * height

Volume = (1/3) * 3.14 * (12/2)² * 12

Volume = 452.2 unit³

c) Volume of sphere = (4/3) π * radius³

Volume of sphere = (4/3) * 3.14 * 7³

Volume = 1436 in³

d) Volume of sphere = (4/3) π * radius³

407.51 = (4/3) * 3.14 * radius³

Radius = 7.3

Diameter = 14.6 units

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

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What is the value of x if x * x + 2x - 35 = 0?

Answers

Answer:

x=5 or -7

step by step:

x2+2x−35=0

Step 1: Factor the left side of the equation.

(x−5)(x+7)=0

Step 2: Set factors equal to 0.

x−5=0 or x+7=0

x=5 or x=−7

Answer:

Your X value would equal to:
5 or -7




(images attached below show a step by step explanation)

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?

Answers

The constant rate = 20 ft / 5 seconds = 4 feet per second

Find the chart that shows an increase of 4 feet for every second the balloon travels.

The height of the balloon over time is modeled by the linear equation y = 4x, so, the accurate choice is option D.

What are linear equations?

A linear equation arises when multiple variables are connected, resulting in a linear model when graphed. This model is characterized by having a degree of one for each variable involved.

Imagine a hot air balloon taking off from the ground, ascending at a consistent speed. After 5 seconds, its altitude reaches 20 feet. The balloon maintains this rate of ascent.

The rate per second is calculated as follows:

m = 20/ 5

m = 4 ft/sec

Consequently, the equation is formulated as:

y = 4x

For x = 10 seconds, the corresponding y value will be:

y = 4 × 10

y = 40 ft

Similarly, for

x = 20 seconds:

y = 4 × 20

y = 80 ft

Hence, the linear equation representing the balloon's height over time is

y = 4x. The accurate option among the choices is D.

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find the area with 4cm, 8cm, 16cm

Answers

Answer:

u cant find the area if you dont add a picture or say if the cm is the width or the lenth.

L BOZO

Step-by-step explanation:

Answer:

PLEASE ADD PICTURE OR NOT ANSWER!

Step-by-step explanation:

We don’t know the problem. Pls apply it.

please find the area

Answers

Answer:

254.34 m²

Step-by-step explanation:

The formula used to find the area of a circle is π · r².
The radius of a circle is half of it's diameter.
Using the given values, we can solve:

3.14 · 9²

3.14 · 81

= 254.34 m²

hope this helps!

Answer:

Area = 254.469004940773 m²

Step-by-step explanation:

formula : (area of a circle)

Area = π × r²

where r is the radius of the circle

[tex]\large \text r = \frac{\large \text Diameter \ of \ the \ circle }{2} = \frac{18}{2} =9\ m[/tex]

then

Area = π × 9²

        = π × 81

        = 254.469004940773 m²

What's the q1 and q2????

Answers

Answer:

Q1-298

Q2-422

Step-by-step explanation:

Q1-298 Q2-422 is the answer your looking for

Question below! :)
Brainliest!

Answers

The angle shown is less than 90 degrees so it is an acute angle.


answer: acute

Acute angel is the Ana

[tex]4x^{3} + x8x^{2}[/tex]
Evaluate

Answers

Answer:

12x^3

Step-by-step explanation:

they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3

just add them and you're set

how to solve (4s - 5t)²​

Answers

Answer:

Step-by-step explanation:

Solve for x. Please help and please show work, thanks!

Answers

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

find the exact value of 2sin30 cos30

Answers

Answer:

[tex]\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

Let's take a look at the unit circle below.

Remmeber that cos represents the x-value and that sin represents the y-value.

We see that:

[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]

Now we just multiply all the together and we get:

[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]

5 7
What is the slope of the equation Y=74-7?
=
O -7
o -
O
O 5

Answers

Hey there!

y = 74 - 7

START at 74 and go back 7 spaces to your left and you should be left on your result of the y-value

y = 67


Therefore, your answer is: y = 67


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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