A spinner for a board game consists of a cardboard circle with two plastic arrows anchored to its center. The arrows are congruent isosceles triangles connected at their bases, as shown. 2 isosceles triangles are connected at their bases. The length of the base is 2 centimeters. The total perimeter of each triangle is 10 centimeters. Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot The base of each triangle measures 2 centimeters and the perimeter of each triangle is 10 centimeters. What is the approximate total area of the plastic triangles on the spinner? 3. 9 square centimeters 6. 7 square centimeters 7. 7 square centimeters 13. 4 square centimeters.

Answers

Answer 1

A triangle is isosceles triangle when the two sides and two angle of the triangle in equal in measure.

The approximate total area of the plastic triangles on the spinner is 7.7 squared centimetre.

What is isosceles triangle?

A triangle is isosceles triangle when the two sides and two angle of the triangle in equal in measure.

The area of the isosceles triangle is given as,

[tex]A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4} }[/tex]

Here, [tex]a[/tex] is the measure of equal sides and [tex]b[/tex] is the measure of third side.

Given information-

The arrows of board game are congruent isosceles triangles connected at their bases.

isosceles triangles are connected at their bases.

The base of each triangle measures 2 centimetres

The perimeter of each triangle is 10 centimetres.

The perimeter of a triangle is sum of all its sides.

As the given triangle is isosceles triangle. Thus both the sides of the triangle should be equal.

Suppose the equal sides is x centimetres. The measure of third side is given which is equal to 2 centimetres. Thus,

[tex]x+x+2=10\\2x=10-2\\2x=8\\x=\dfrac{8}{2} \\x=4[/tex]

Hence the length of the equal sides of the isosceles triangle is 4 cm.

Using the above formula as,

[tex]A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4} }\\A=\dfrac{1}{2}\times 2\times \sqrt{4^2-\dfrac{2^2}{4} }\\A= \sqrt{16-\dfrac{4}{4} }\\A=3.871[/tex]

Hence the area of one plastic arrow triangle is 3.71 square centimetre. The approximate total area of the plastic triangles on the spinner is twice of it. Thus,

[tex]A=3.71\times2\\A=7.7[/tex]

Thus the approximate total area of the plastic triangles on the spinner is 7.7 squared centimetre.

Learn more about the isosceles triangle here;

https://brainly.com/question/1475130

Answer 2

Answer:

The correct answer would be option C. 7.7 square centimeters

Step-by-step explanation:

Just got it right on edge. :)

Hope this helps!

Brainliest would be greatly appreciated :D


Related Questions

Help me with a question?

Answers

Answer:

B

Step-by-step explanation:

y = mx + b

The slope is m.

If it was anything other than 0, the line would have an x in it. The line does not have an x associated with it.

The equation of the line is y = 1

The slope must be 0.

If a man making $22 an hour gets a 20% raise, she will make an additional 1/10 of her salary an hour.

Answers

Answer:

True

Step-by-step explanation:

If this is a true or false question it is true.

22 x 20% = 2.2

22 ÷ 10 = 2.2

Hope this helps!

Zavien bought 12 movies that originally cost $11.75 each. He received a 20% discount for all 12 movies. What is the total amount Zavien paid for the movies?

ANY HELP WITH THIS?
The possible answers are:
$169.20

$9.40

$112.80

$28.20

Answers

Answer is $28.20
11.75x12=$141
Money : 141 | ?
Percentage: 100 | 20
Using criss-cross method:?=141x20 over 100
=2820 divided by 100=$28.20

Lupe’s car left two skid marks each A feet long and two skid marks each B feet long after she had to apply the brakes fast to avoid hitting a car. Write the algebraic expression that represents the skid distance that will be used in the skid speed formula.

Answers

Answer:

Sorry I don't know but just stick with your gut

Step-by-step explanation:

Question 1 of 5
Is either x = 5 or x = 9 a solution to 31 - x = 22?
O A. Neither is a solution.
B. X= 5 is a solution, but x = 9 is not.
C. They are both solutions.
O D. x = 9 is a solution, but x = 5 is not.
A
SUBMIT

Answers

Answer:

I think it's D.

Step-by-step explanation:

x=9 because 31-9 =22

Answer:

[D] x = 9 is a solution, but x = 5 is not

Step-by-step explanation:

31 - 9 = 22

It costs $0.50 to download an individual song and $4.00,
to download an album Jada has $15.00 to spend
downloading music. How many songs can Jada download
if she downloads 2 albums?

a) 12

b) 10

c) 14

d) 16


thanks!

also I really need the help right now cause I got a unit test tomorrow lol

Answers

Answer:

d

Step-by-step explanation:

an album is 4$ and one song is 0.50$divide 50 by 4$ making 8 then multiply by2

Answer:

14

Step-by-step explanation:

2x4=8, 8-15=7, you now have 7$ to spend, 7/.5 =14 therfore your answer is 14

HELP PLEASE!!!


A container holds nine hundred millilitres of water. If half of the water is poured away, how much is left in the container?

Answers

Answer:

450 millilitres

Step-by-step explanation:

1) [tex]\frac{1}{2}[/tex] of the water is gone, so you need to divide 900 by 2 to see how much is left

900÷2 = 450

Combine like terms to create an equivalent expression.
7.4z - 5(-1.6z +2.4)



Please I really need help

Answers

Answer:

15.4z - 12

Step-by-step explanation:

Distribute:

=7.4z + (−5)(−1.6z) + (−5)(2.4)

=7.4z + 8z + −12

Combine Like Terms:

=7.4z + 8z + −12

=(7.4z+8z) + (−12)

=15.4z + −12

The area of the base of this trapezoidal prism is 15 square units and the width is 8. What is the volume?

Answers

Volume is equal to b*h so 15 u^2 *8 u =120 u^3

Can someone help me with this question plsssssssss

Answers

Answer:think its A

Step-by-step explanation:

factor the expression completely
35-7x

Answers

Answer:

7(5-x)

Step-by-step explanation:

35-7x

7*5 - 7*x <-- Factor out 7

7(5-x)

Answer:

7(5-1x)

Step-by-step explanation:

uwu

35-7x

7x5-7x=7(5-1x)

uwu :)

What is the measure of angle BCD?

Answers

Answer:

∠ BCD = 132°

Step-by-step explanation:

The measure of the tangent- chord angle BCD is half the measure of its intercepted arc , that is

∠ BCD = [tex]\frac{1}{2}[/tex] × 264° = 132°

answer:

BCD = 132, the measured angle

can someone answer this

Answers

Answer:

The answer for b is 3

Step-by-step explanation:

B- there are 8 total missing values (y). 3x8=24, 24-y(24)=0

yx3+yx3+yx3+yx3+yx3+yx3+yx3+yx3

Please hurry will give brainliest

Write the inequality in slope intercept form.
2x-3y>9

Answers

Step-by-step explanation:

2x - 3y > 9

the target as slope intercept form is

y = ax + b (or any fitting inequality sign)

so, let's transform the original inequality

2x > 3y + 9

2x - 9 > 3y

2x/3 - 3 > y

or

y < 2x/3 - 3

the slope is 2/3 (always the factor of x). the y-intercept = -3.

What are the ordered pairs of the
solutions for this system of equations?

Answers

Answer:

(5, 18 ) ; (- 5, 38 )

Step-by-step explanation:

let y = f(x) , then

y = x² - 2x + 3 → (1)

y = - 2x + 28 → (2)

substitute y = x² - 2x + 3 into (2)

x² - 2x + 3 = - 2x + 28 ( subtract - 2x + 28 from both sides )

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

substitute these values into (2) for corresponding values of y

x = 5 : y = - 2(5) + 28 = - 10 + 28 = 18 ⇒ (5, 18 )

x = - 5 : y = - 2(- 5) + 28 = 10 + 28 = 38 ⇒ (- 5, 38 )

What would be the Area of a Square with sides of 3/5 yards?

Answers

Answer:

0.36 OR 9/25

Step-by-step explanation:

The area of a square is the side length squared. A=s^2

3/5 times 3/5 is equal to 9/25. As a decimal, it's 0.36.

PLEASE PLEASE HELP ME!!

Answers

Answer:i cant see the picture, try re uploding it

Step-by-step explanation:

The equation f(x)= 2x-9 translate 6 units up is g(x)=

Answers

btw I got this answer from gauth math
answer: 2x -3

Explanation
Solution: Move the straight line and its slope, remains unchanged, and y-axis focus change

please help ill mark brainliest

Answers

Answer:

Equation  :    y = 6

Explanation:

It is a straight line, cuts y axis and does not meet x axis.

Equation of the line is y = 6

Need smallest and largest answer!

Answers

Answer:

smallest number is x = -5

largest number is x = 5

Step-by-step explanation:

find the sum or difference
1. (4y+3)-(y-2)​
2. (3p-7)+(5p-6)

Answers

Answer:

1)3y + 5

2)8p - 13

Explanation

If we get all the y's and numbers together and do the operations we should get the answer

A telephone pole, shown at the top of the next column, is 60 feet
tall. A guy wire 86 feet long is attached from the ground to the
top of the pole. Find the angle between the wire and the pole to
the nearest degree
60 ft
86 ft
The angle between the wire and the pole is approximately how many degrees.
(Round to the nearest degree.)

Answers

Answer:

45.56

Step-by-step explanation:

need to find the base

86^2 = 3600+b^2

b=61.62

tanx = 61.61/60 = 1.02

x = 45.56

The angle between the guy wire and the pole is 46° (rounded to the nearest degree). Solved, using the heights and distances concept of trigonometric ratios.

What is the concept of heights and distances?

The concept of heights and distances is the use of right triangles in real-world examples and solving for missing components using trigonometric ratios in a right triangle.

How to solve the question?

In the question, we are informed that a telephone pole, shown at the top of the next column, is 60 feet tall. A guy wire 86 feet long is attached from the ground to the top of the pole.

We are asked to find the angle between the wire and the pole.

We will use the concept of heights and distances to solve the problem.

We let the pole be AB, of height 60 ft. It is perpendicular to the ground.

We let the guy wire be AC, where C is the point from where the wire is connected on the ground, from a distance from the base of pole B.

The length of the guy wire AC is 86 ft.

We let the angle between the guy wire and the pole, that is, angle BAC be θ.

In the right triangle ABC, we can say that the trigonometric ratio:

cos θ = AB/AC {cos θ = base/hypotenuse}

or, cos θ = 60/86,

or, θ = cos⁻¹(60/86) = 45.8° ≈ 46°.

Therefore, the angle between the guy wire and the pole is 46° (rounded to the nearest degree). Solved, using the heights and distances concept of trigonometric ratios.

Learn more about heights and distances at

https://brainly.com/question/88158

#SPJ2

Solve 7th grade math... Today's the last day of the semester

Answers

Answer:

x = -14__________________

Step-by-step explanation:

the first one

Answer:

x=-14

Step-by-step explanation:

multiply both sides by -12

simplify

subtract 24 from both sides

simplify

x=-14

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
8
0
7
V
X

Answers

Answer:

[tex]\sqrt{113}[/tex] = x

Step-by-step explanation:

In right triangles the sum of square length of two legs is equal to square length of hypotenuse:

7^2 + 8^2 = x^2

49 + 64 = x^2 add like terms

113 = x^2 find the root for both sides

[tex]\sqrt{113}[/tex] = x

Patrick drives from P to Q at an average speed of 40mph. His drive back from Q to P is an average speed of 45mph and takes two minutes less. How far, in miles, is it from P to Q?

Answers

Answer:

12 miles

Step-by-step explanation:

IT SAYS THAT THERE IS SOMETHING WRONG IN TRYING to write the explanation

1
A tour bus travels 400
miles on the first day of a
trip. Each day after that
the bus travels half the
distance it went the day
before. The total trip is
775 miles. How many
days does the trip take?
Simplify by combining like

Answers

Answer:

there are 5 terms so it takes 5 days for the trip, im not sure.

Step-by-step explanation:

At Glencliff High School, the photography club has 23 members, which is 12 fewer than the hacky sack club. Does the hacky sack club have 35 members or 11 members? Write an equation using the variable h to model the problem.

Enter the correct answers in the boxes.

Answers

Answer:

Since the photography club is 12 fewer than Jacky sack club then Change the negative sign to positive sign and it to the existing members of photography club.

12+23=35

London went golfing with Katerina, Layla, and Tony. If the total was $32, how much did each person have to pay?

Answers

Answer:

$8 dollars.

Step-by-step explanation:

There are four people: London, Katerina, Layla, and Tony.

We know that the total is $32 dollars so we simply have to divide 32 by 4 which will give us an answer of 8.

Hope this helps!

Find the value of x.
a
T
(3x + 1)º
P
148
R
s
В І о U
B
linul
VE

Answers

Answer:

49

Step-by-step explanation:

angle QPR and angle TPS are alternate angles and their measure is equal to each other:

3x + 1 = 148 subtract 1 from both sides

3x = 147 divide both sides by 3

x = 49

Help me please i need your helpp

Answers

Answer:

D) -2

Step-by-step explanation:

to identify the slope of a line written in slope-intercept form, it would be

the coefficient of the 'x' term

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