In ΔFGH, f = 7.2 cm, g = 1.2 cm and h=6.6 cm. Find the area of ΔFGH to the nearest 10th of a square centimeter.

Answers

Answer 1

9514 1404 393

Answer:

  3.6 cm²

Step-by-step explanation:

Heron's formula is usually used for calculating triangle area from side lengths.

The semiperimeter is ...

  s = (7.2 +1.2 +6.6)/2 = 7.5

Then the area is ...

  A = √(s(s -f)(s -g)(s -h)) = √(7.5(0.3)(6.3)(0.9)) = √12.7575

  A ≈ 3.57176 cm²

The area of ΔFGH is about 3.6 square centimeters.

In FGH, F = 7.2 Cm, G = 1.2 Cm And H=6.6 Cm. Find The Area Of FGH To The Nearest 10th Of A Square Centimeter.

Related Questions

Help please I don’t understand

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looks like something around 14, yet not quite sure

Find the value of x for which WXYZ must be a parallelogram.

Answers

Answer:

[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]

when does two plus two equal five

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When you add one more to it :)
When my dad comes back

helppp please i need this answered fast please :⊂

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Answer:

dang good luck

Step-by-step explanation:


Write 5/9
as an equivalent fraction with a denominator of 18

Answers

Answer:

10/18

Step-by-step explanation:

Multiply both the numerator and denominator by 2

Answer: 10/18

To get an equivalent fraction with a denominator of 18. Means we need to move the denominator of 9 to get to 18.

In order to do so we multiply the bottom by 2. 9x2=18. However because we want an equal fraction, the top needs to be multiples by 2

Find the area of the triangle.
24 in.
32 in.

Answers

Answer:

A = 384 inches^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh  where b is the length of the base and h is the height

A = 1/2 ( 32) *(24)

A = 384 inches^2

Answer:

The area of triangle is 384 inches².

Step-by-step explanation:

Given : -Base of triangle = 24 inchesHeight of triangle = 32 inches

To Find :-Area of triangle

Formula Used :-

Area of triangle = 1/2 × base × height

Solution :-

Using Formula

Area of triangle = 1/2 × base × height

substitute the values into the formula

Area of triangle = 1/2 × 32 inches × 24 inches.

multiply,

Area of triangle = 1/2 × 768 inches ²

Divide, we get

Area of triangle = 384 inches ²

Therefore, The area of triangle is 384 inches².

What is an equivalent expression to 4( x + 2) + 6x

Answers

Answer:  10x+8

Work Shown:

4(x+2) + 6x

4x+8 + 6x

(4x+6x) + 8

10x+8

Answer: 10x+8

Step 1: Rewrite equation

4(x+2)+6x

Step 2: Distribute

To distribute, multiply the number on by outside of the parentheses with the values on the inside of the parentheses. 4 times x is 4x, and 4 times 2 is 8. Substitute this into the equation.

4x+8+6x

Step 3: Combine like terms for final product

Like terms will be valued that share the same variable, or lack of. In this case, it is 4x and 6x. Add these terms to combine them.

10x+8

Hope this helps!

how do i solve this problem

Answers

Answer:

[tex]A\approx 159.6[/tex]

Step-by-step explanation:

1. Approach

To solve this problem, divide the given figure up into two smaller figures, a rectangle and a semi-circle. Find the area of each figure and add up the values to find the total area. Remember the formula to find the area of a rectangle is as follows ([tex]A=(length)(width)[/tex]). The formula to find the area of a circle is the following, ([tex]A=(\pi)(r^2)[/tex]).

2. Find the area of the rectangle

The radius is the measurement in a circle from the center of a circle to any point on the circle's circumference (outer edge). The diameter is a line going through a circle connecting two opposite edges on a circle and passing through the center of a circle. By its definition, the diameter is always twice the radius of a circle.

As one can see in the rectangle, the side of the rectangle is made of the diameter of the circle. Since the diameter of a circle is twice the radius, one must multiply the radius by (2), then multiply that value by the length of the rectangle to find the area of the rectangle,

[tex]A=(length)(width)\\[/tex]

Substitute,

[tex]A_r=(length)(2(radius))\\A_r=(14)(2(5))[/tex]

Simplify,

[tex]A_r=(14)(2(5))\\A_r=(14)(10)\\A_r=140[/tex]

3. Find the area of the semi-cricle

Now one has to find the area of the semi-circle. Since a semi-circle is half of a circle, one must divide the formula to find the area of a circle by (2) in order to find the area of a semi-circle. Remember parameter (r) represents the radius, and ([tex]\pi[/tex]) represents the numerical value (3.1415...)

[tex]A=\frac{(\pi)(r^2)}{2}[/tex]

Substitute,

[tex]A_s=\frac{(\pi)(5^2)}{2}[/tex]

Simplify,

[tex]A_s=\frac{(\pi)(5^2)}{2}\\A_s=\frac{(\pi)(25)}{2}\\A_s=12.5\frac{(\pi)}{2}\\A_s\approx19.635[/tex]

4. Find the total area

To find the total area of the figure, one must add up the two components, add the area of the rectangle to the area of the semi-circle,

[tex]A=A_r+A_s\\[/tex]

Substitute,

[tex]A=140+19.635[/tex]

Simplify,

[tex]A=159.635[/tex]

[tex]A\approx 159.6[/tex]

Help me wit this rq…………..

Answers

I’m pretty sure it’s C

Please help me with this as quickly as possible

Answers

3 hour 30 minutes : 36 minutes

1 hour = 60 minutes

3 hour = 3×60 minutes = 180 minutes

3hour 30 minutes = 180 minutes + 30 minutes

                               = 210 minutes

210 minutes : 60 minutes

3 hours 30 minutes : 60 minutes = 6:2

Let g(x) be the indicated transformation of f(x). Write the rule for g(x) f(x)=3x + 1: translation 2 units right​

Answers

Answer:

3x +3

Step-by-step explanation:

3x + 1 + 2units(on the x axis)= 3x +3

Which one hurry
A.2 unit sides
B.3 unit sides
C.4 unit sides
D.5 unit sides

Answers

Answer:

4 units

Step-by-step explanation:

P of a square is P =4s

A of a square is A = s^2

4s = s^2

Divide each side by s

4s/s = s^2/s

4 =s

Ricardo has a wooden board that measures 5 feet in length. How many 1/4 foot long pieces can Ricardo cut from the board

Answers

Answer:

20 pieces of wood

Step-by-step explanation:

5 divided by 1/4: 20

another way to look at it is if there are 4 of these pieces in a foot, and there are 5 feet, 4 times 5 is also 20.

A quick quiz consists of a multiple-choice question with 5 possible answers followed by a multiple-choice question with 5 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct.

Answers

Answer:

1/25

Step-by-step explanation:

P of both answers are correct =

P first question is answered correct and P second question is answered correct

in probability,  and = multiplication

P first question is answered correct =1 correct answer/5 possible answers =1/5

P second question is answered correct = 1/5

P of both answers are correct = (1/5) · (1/5) = 1/25

A medical researcher is studying the spread of a virus in a population of 1000 laboratory mice. During any week, there is a 70% probability that an infected mouse will overcome the virus, and during the same week there is a 40% probability that a noninfected mouse will become infected. Four hundred mice are currently infected with the virus. How many will be infected next week and in 3 weeks?
(a) next week mice rilex
(b) in 3 weeks mice

Answers

Answer:

a) 360 mice

b) 364 mice

Step-by-step explanation:

Assume :

A = number of infected mice , B = number of non-infected mice

P( infected mice overcoming infection ) = 70% = 0.7

P ( Infected mice not overcoming infection ) = 1 - 0.7 = 0.3

P( mice becoming infected ) = 40% = 0.4

P ( mice not becoming infected ) = 1 - 0.4 = 0.6

Number of infected mice = 400

Number of non-infected mice = 1000 - 400 = 600

step 1 ; express the probabilities in matrix form

[tex]P = \left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]

[tex]X = \left[\begin{array}{ccc}400\\600\\\end{array}\right][/tex]

step 2 : multiply the matrix above to determine the number of mice that will be infected

a) For next week

PX = [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]

i.e. 360 mice will get infected next week

next 2 week = P ( PX )

= [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]  * [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]

b) In 3 weeks time

P ( P(PX) = [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]  * [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]  

               = [tex]\left[\begin{array}{ccc}363.6\\636.4\\\end{array}\right][/tex]

i.e.  364 mice will get infected in 3 weeks time

I needddd helpppp
Which point is a representation of -(-3)???

Answers

Answer:

Point a

negative means on a number line to the left side

Step-by-step explanation:

Pls helpi neeed the answer

Answers

Answer:

I believe that the answer is 80X (or C)

Step-by-step explanation:

it looks like it is just under a right angle so i believe that it would be 80X

Answer:

y=6x

Step-by-step explanation:

Jane was baking cookies. She needed 1/3 cup sugar and 1 2/4 cups flour. How much more flour does she need than sugar?
(Common core)

Answers

Answer:

1 and 1/6 cups more

Step-by-step explanation:

1/3 cup sugar

*1 2/4 cups flour = 6/4 cups flour

*assuming it’s 1 and 2/4 and not 12/4 =3

6/4 - 1/3 = (18-4)/ 12 = 14/ 12 = 1 and 1/6

Is this quadratic? If so what form is it?

Answers

Answer:

Yes. Factored form.

Step-by-step explanation:

Answer:

yes, and it's in intercept form

Step-by-step explanation:

Hi there!

We are given the function f(x)=-2(x-4)(x+3)

A quadratic function is a function that has a degree of 2 (the highest exponent in the function is to the 2nd power)

There are 3 forms to write a quadratic function:

standard form, which is f(x)=ax²+bx+c, where a, b, and c are free coefficients (numbers)

vertex form, which is f(x)=a(x-h)²+k, where a is a free coefficient and (h,k) is the vertex

intercept form, which is f(x)=a(x-[tex]x_{1}[/tex])(x-[tex]x_{2}[/tex]), where a is a free coefficient and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the x intercepts

You may notice that  f(x)=-2(x-4)(x+3)  is actually in intercept form; a is -2 and  [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are 4 and -3 respectively (remember: the formula for intercept form has  -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex], but the x intercepts are  [tex]x_{1}[/tex] and [tex]x_{2}[/tex]. Therefore, the x intercepts should be the opposites of  -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex]).

If the formula is in intercept form, it should be quadratic.

However, if you want to be sure it's quadratic, you can expand the function.

f(x)=-2(x-4)(x+3)  

first, multiply the binomials together using FOIL

(x-4)(x+3)

x²-x-12

now multiply x²-x-12 by -2

-2(x²-x-12)

do the distributive property

-2x²+2x+24

It's a quadratic function! The value of the highest exponent is 2 :)

Hope this helps!

Which graph represents an increasing function? (1 point) Four graphs of y against x are shown. The title for the first graph is Graph A, the title for the second graph is Graph B, the title for the third graph is Graph C, and the title for the fourth graph is Graph D. Graph A is a straight line joining the ordered pairs 0, 6 and 3, 0. Graph B is a straight line joining the points 3, 0 and 3, 5. Graph C is a straight line joining the points 0, 3 and 3, 3. Graph D is a straight line joining the points 0, 0 and 3,3.
Graph A
Graph B
Graph C
Graph D

Answers

Answer:

a

Step-by-step explanation:

aàaaaaaaaaaqaaaarsgbfyjvdujcgujhgkud parlo

Answer:

d

Step-by-step explanation:

What is the solution to flog4(x+8) - 427

Answers

Answer:

4270

Step-by-step explanation:

Please help it’s summer school and i need serious help

Answers

Answer:

B

Step-by-step explanation:

It A , ive did that aswell

Solve for x in the equation x squared + 2 x + 1 = 17.

Answers

Step-by-step explanation:

quadratic formula

-b+-√b^2

2a

-2+-√2^2-4×1×-16

2×1

-2+-√68

2

either

x= 3.125

or

x= -5.125

Will mark Brainlest help please (find the value of x or theta) step by step​

Answers

Answer:

Step-by-step explanation:

BC=[tex]\sqrt{5^2+5^2}[/tex]

x   =[tex]\sqrt{50}[/tex]

x   = 5[tex]\sqrt{2}[/tex]

tan theta= 5/5

      theta= tan^-1 (5/5)        

                =45°

Step-by-step explanation:

BC=\sqrt{5^2+5^2}52+52

x   =\sqrt{50}50

x   = 5\sqrt{2}2

tan theta= 5/5

      theta= tan^-1 (5/5)        

                =45°

Which value is in the domain of f(x)? PLS help :)

Answers

Answer:

(c) 4

Step-by-step explanation:

Given

The piecewise function

Required

The value in f(x) domain

The domain of f(x) is:

[tex]-6 < x \le 0[/tex] and [tex]0 < x \le 4[/tex]

Combine both inequalities:

[tex]-6 < x \le 4[/tex]

List the values of the inequality

[tex]-6 < x \le 4 = \{-5,-4,-3,-2,-1,0,1,2,3,4\}[/tex]

From the list of given options

Only 4 is among the domain

Others are not

Following the car in front of you at a closer distance _____.
A. Gets you to your location faster
B. Doesn’t get you to your location faster
C. Is a safer way to drive
D.saves you some gas

Answers

Step-by-step explanation:

the answer is b, it doesnt get you to your location faster

Answer: Option A will be the correct answer

Step By Step Explanation: Because Main thing is its matching to the sentence

How many feet are in 18 yards?

6 feet

30 feet

54 feet

216 feet

Answers

Answer:

54 is the answer

have a great dayyyy

Answer:

there are 64 feet in18 yards

Step-by-step explanation:

1 yard equals 3 feet

Solve. Four times the sum of 2 and some number is - 8. What is the number?​

Answers

Answer:

-4

Step-by-step explanation:

Let say other number is 'x'

Equation:-

4(2 + x) = -8

8 + 4x = -8

4x = - 16

x = - 16/4

x = - 4

Write the equation of the line parallel to y=1/2x−6 that passes through (−10,4).

Answers

Answer:

y = 1/2 x + 9

Step-by-step explanation:

y = 1/2 x + b

4 = (1/2)(-10) + b

4 = -5 + b

b = 9

CAN SOMEONE HELP ME PLS

Answers

It’s either a or b trust me
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