The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain.

The Front Of The Stage, Side C, Is 50 Feet Long. A 40-foot Rope Runs Along The Side Of Square B. A 30-foot

Answers

Answer 1

Answer:

C=hypotenuse [h]=50 feet

A=[base]=40foot.

B=perpendicular [p]=?

Area =?

we have

By using Pythagoras law

p²+b²=h²

B²=40²=50²

B²=50²-40²

B=√900

B=30feet

we have

Area of triangle =½×A×B=½×30×40=600feet²

the roped off area is 600 square feet.

it is a right angled triangle.

Answer 2

Find Base

√50²-40²√30²30ft

Area

1/2BH1/2(30)(40)30(20)600ft²

Off course right angle


Related Questions

Find the circumference of the given circle. Round your answer to the nearest whole number.

Answers

Answer:

circumference = 31 inches

Step-by-step explanation:

using the Pythagorean theorem:

diameter² = 8² + 6² = 100

diameter = √100 = 10

circumference = 10 x 3.14 = 31.4 inches

Find you equation of the line shown

Answers

Answer:

y=x+6

Step-by-step explanation:

(0,6). y=mx+b or 6=1 × 0+b, or solving for b: b=6-(1)(0). b=6.

(1,7). y=mx+b or 7=1 × 1+b, or solving for b: b=7-(1)(1). b=6.

I inputted two points from the graph and solved them.

Hence the equation would be y=x+6

Answer:

y= x + 6

Step-by-step explanation:

For here we are looking for y= mx +b.

For the slope, It is y= 4/4.

That can be simplified into 1x or x.

Then look at where it contacts the y axis. It is at six. Plug all that in to get

y= x + 6

hope this helps!!

Find the surface area of the above solid

Answers

Answer:did u ever find the answer i need it

Step-by-step explanation:

Find the value of g, f, e, and d

Answers

Answer:

g-86=15

g= 15+86=101

e-27=45

e=45+27=72

6f+15+45=180

6f=180-60

6f=120

f=20

d=6f

d=120

Simplify the expression to a polynomial in standard form:
(3x − 2)(x^2 – 2x + 1)

Answers

Answer:

The polynomial in the standard form of this expression would be [tex]3x^3-8x^2+7x-2[/tex].

Step-by-step explanation:

If you are trying to expand a binomial multiplied by a trinomial, you need to multiply each term from the binomial to each term in the trinomial. In this case, [tex](3x-2)(x^2-2x+1)=3x^3-6x^2+3x-2x^2+4x-2=3x^3-8x^2+7x-2[/tex], so that will be the answer.

Which is the perimeter of the shape? (1 point)

Answers

Answer:

22

Step-by-step explanation:

4 x 2 + 7 x 2 = 22

Answer: 22

Step-by-step explanation:

to find perimeter you have to add up all the sides around a shape.

7 + 7 + 4 + 4 = 22

OR

7+7= 14

4 + 4 = 8

14 + 8 = 22

find the surface area.

Answers

Answer:

solution given:

For triangle

side1=9ft

side2=10ft

base[b]=11ft

height[h]=7.7ft

and for rectangle

length [l]=3ft

wide [w]=9ft

Now

total surface area=lateral surface area +2curved surface area

=perimeter of triangle×length +2area of triangle

=(9+10+11)×3+2×1/2×2(½×b*h)

=90+11×7.7

=174.7

=175ft²is a required answer.

Find the missing dimension of the triangle. Area =14ft^2, height =6ft, base= ? Find the base.

Answers

Answer:  b = 14/3 = 4.667 feet

The decimal value is approximate. In reality the 6's go on forever. Round that however you need to.

================================================

Work Shown:

b = unknown base

h = height = 6 ft

A = area = 14 sq ft

A = b*h/2

14 = b*6/2

14 = b*3

14 = 3b

3b = 14

b = 14/3

This approximates to 14/3 = 4.667 ft

Classify this triangle by its sides.

Answers

Step-by-step explanation:

The answer is scalene triangle

Answer:

scalene

Step-by-step explanation:

all the sides of a scalene triangle have different lengths, as shown in the picture :)

Find the volume of the pyramid. Someone help plz

Answers

Answer:

2880

Step-by-step explanation:

10 x 8 x 6 x 12 = 5760/2 = 2880

A warehouse has a height of 8 2/10 ​ meters, length of 120 meters, and width of 20 3/10 ​ meters. What is the volume of the warehouse?

Answers

Volume = 119975.2 meters3


What is the appropriate equation used that would solve for x

Answers

Answer:

E) 6x - 10 = 4x + 20

Step-by-step explanation:

In this type of picture, the opposite angles are congruent (they equal the same)

So the right equation would be 6x - 10 = 4x + 20, or E

Jill and John each had a candy bar. Jill at ¾ of the candy bar and John at 3/8 of his candy bar. Who ate the most?

Answers

Answer:

John

Step-by-step explanation:

3/4 > 3/8

3/4 = 6/8

6/8 > 3/8

Which is true about the angle relationships in the


rectangle? Check all that apply.


BEA and Z CED are vertical angles and equal


76º.


ZABE and Z CBE are complementary angles.


BEC and Z CED are vertical angles.


BEA and AED are supplementary angles


whose sum is 180°


BEC and AED are adjacent angles.

Answers

Answer:

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

Step-by-step explanation:

Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent to each other.

Complementary angles are angle whose sum add up to 90° while supplementary angles are angles whose sum add up to 180°

Two angles are adjacent if they are placed side by side and share the same vertex.

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEC and ∠CED are not vertical angles

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

∠BEA and ∠AED are not adjacent angles

Answers: A B D

Step-by-step explanation:

I did the quiz

FIRT TO ANSWER GETS BRAINLYEST
Which best explains whether 9 is a solution to the inequality x greater-than 9?
It is not a solution because 9 is not greater than 9.
It is not a solution because 9 is not less than 9.
It is a solution because 9 is greater than 9.
It is a solution because 9 is less than 9.

Answers

A) it is not a solution because 9 is not greater than 9.

EXPLANATION:
the equation is X > 9

if you replace x with 9,

then the equation would be 9 > 9

9 is not greater than 9. so it is not true.

Hope it helps!

En una progresion geometrica el primer termino es 4 ¿ cual debe de ser la razon para que la suma de sus infinitos sea 5?

Answers

Respuesta:

La proporción común del término puede ser 1/5

Explicación paso a paso:

La fórmula para calcular la suma al infinito de una secuencia geométrica se expresa como:

Sinfty = a / 1-r

Dado

Sinfty = 5

Primer término a = 4

Requerido

Razón común r

Sustituir

5 = 4/1-r

5 (1-r) = 4

5-5r = 4

-5r = 4-5

-5r = -1

r = 1/5

Esto significa que la razón común debe ser 1/5 para que la suma hasta el infinito sea 5

Estimate: 587 is about what percent of 1,012?

Answers

Answer:

its 58

it is very simple to answer just find the percent of it

Morgan correctly answered 90% of the questions on her history test. She answered 36 questions correctly How many questions were on the test?

(A)33
(B)40
(C)48
(D) 126​

Answers

Answer:

(B)40

Step-by-step explanation:

use the mark given and divide it by 90 percent take the answer given and multiply it by one hundred

Answer:

B) 40

Step-by-step explanation:

If 90% = 36

100% = ?

Cross Multiplying

100 x 36/ 90 = 40

which means there were 40 Questions on the test.

6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0

Answers

both solutions:
x = -1, -7/3

Rectangle A and B have the same Area. Rectangle A has a length of 7m and a width of 4m. Rectangle B has a width of 10m. What is the perimeter of Rectangle B? *

Answers

Answer:

P = 25.6 feet

Step-by-step explanation:

Given that,

Rectangle A and B have the same Area.

The area of a rectangle is given by :

A = lb

[tex]l_Ab_A=l_Bb_B[/tex]

We have,

[tex]l_A=7\ m, b_A=4\ m, b_B=10\ m[/tex]

So,

[tex]l_B=\dfrac{l_Ab_A}{l_B}\\\\l_B=\dfrac{7\times 4}{10}\\\\l_B=2.8\ m[/tex]

The perimeter of rectangle B,

[tex]P=2(l_B+b_B)\\\\=2(2.8+10)\\\\=25.6\ ft[/tex]

So, the perimeter of rectangle B is equal to 25.6 feet.


A tv costs £1300. Work out the price after a 4.2% price increase.

Answers

Answer:

HII

1

Step-by-step explanation:

The tv would cost £1354.60

Which statements about the triangles are correct? Select TWO answer choices that apply.

A
Triangle P is similar to triangle Q.

B
Triangle P is a reflection and rotation of triangle Q.

C
Triangle P is congruent to triangle Q.

D
Triangle P is a reflection and a dilation of triangle Q.

E
Triangle P is a dilation and a 180° rotation of triangle Q.

Answers

A-are similar because they simply have different dimensions
E-rotation 180 degree ,and dilation
I hope I helped you☺️

Can someone prove 1+cosx/1+secx=cosx
with all the steps included?
Please and thank you.

Answers

Answer:

Proved , since LHS= RHS

Step-by-step explanation:

We need to prove the given expression ,

=> 1 + cos x / 1 + sec x = cos x

Simplifying LHS.

=> 1 + cos (x) / 1 + sec (x)

=> 1 + cos (x) / 1 + 1/cos (x)

=> 1 + cos (x) ÷ 1 + cos(x) / cos (x)

=> 1 + cos (x) × cos(x) / { 1 + cos (x) }

1 + cos (x) gets cancelled . So we are finally left out with ,

=> cos (x)

= RHS

Hence proved !

Roberto debe leer un libro que contiene 340 páginas en 4 días por lo cual planea la siguiente distribución: el primer día 1/5 de las páginas del libro, el segundo 1/4 de lo que queda por leer y el tercero 1/6 del resto. ¿Cuántas páginas le quedan por leer a Roberto en el cuarto día?

Answers

Answer:

170 pages

Step-by-step explanation:

Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution

The number of pages he read for the first day :

The first day 1/5 of the pages of the book

This is calculated as:

1/5 × 340 pages

= 68 pages

For the second day:

The second 1/4 of what remains to be read

The number of pages remaining after the first day is calculated as:

340 - 68 = 272 pages

Hence, the number of pages read on the second day is

1/4 × 272 pages

= 68 pages

For the third day

One the third day, 1/6 of the rest was read.

The number of pages remaining after the first day is calculated as:

272 - 68 = 204 pages

Hence, the number of pages read on the third day is

1/6 × 204 pages

= 34 pages

Therefore, the number of pages Roberto has to read on the fourth day is calculated as:

340 pages - (68 + 68 + 34)pages

340 pages - 170 pages

= 170 pages

Two geometry questions in the attached photos - If I have a line, do I have a plane? & If I have three points, do I always have a plane?

Answers

Answer:

18) A: only if you have an additional point not on the line.

19) D: No, because all the points may be on the same line.

Step-by-step explanation:

There are basically 4 ways we can determine a plane and they are;

- When we have three non - collinear points: What this means is that if we have three points that are not on one line, then it means that only one particular plane can pass through those points.

- When we have a line and a point that's not on the line

- When we have two lines that intersect each other.

- When we have two lines that are parallel to each other.

From the four conditions above, we can now answer the question;

18) You can only have a plane if there is an additional point not on the line.

Option A

19) Having just three points may not always be sufficient to have a plane because it's possible that the three points may be on the same line which is not a condition for a plane. Thus, option D is correct.

A polygon has vertices at (4, 1), (4,7), (10, 7) and (10, 1). How does the perimeter of
the polygon change if each coordinate is multiplied by 3?

Answers

Answer: The perimeter triples

The perimeter goes from 24 to 72

24*3 = 72

==========================================================

Explanation:

I recommend plotting the four points on the same xy grid system. Connect the points with segments to form a rectangle. This rectangle is also a square. You should find that each side of the square is 6 units long, so the perimeter is 4*6 = 24 units.

If we multiply each coordinate by 3, then that will make each side length 3 times longer than before. That means each side is now 6*3 = 18 units long. The perimeter is 4*18 = 72 units.

Note how the jump from 24 to 72 is "times 3". Therefore, the scale factor of 3 will make the new perimeter 3 times longer compared to the old perimeter.

NEED THE ANSWER PLEASE

Answers

Answer:

d. 89°

Step-by-step explanation:

The given measure of the angles formed are;

m∠AED = 48°, m[tex]\widehat{AG}[/tex] = 175°

According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;

Therefore;

m∠AED = (1/2) × m[tex]\widehat{ABE}[/tex]  = 48°

∴ m[tex]\widehat{ABE}[/tex] = 2 × 48° = 96°

m∠AEF = (1/2) × m[tex]\widehat{AGE}[/tex]

m[tex]\widehat{ABE}[/tex] + m[tex]\widehat{AGE}[/tex] = 360° (angle round a circle)

∴ m[tex]\widehat{AGE}[/tex] = 360° - m[tex]\widehat{ABE}[/tex] = 360° - 96° = 264°

m[tex]\widehat{AGE}[/tex] = m[tex]\widehat{AG}[/tex] + m[tex]\widehat{EG}[/tex]

∴ m[tex]\widehat{EG}[/tex] = m[tex]\widehat{AGE}[/tex] - m[tex]\widehat{AG}[/tex] = 264° - 175° = 89°

m[tex]\widehat{EG}[/tex] = 89°.

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! NO SCAM LINKS !!!!!!!!!!!!!!!!!!

Answers

Answer:

115

Step-by-step explanation:

180-65=115

the whole triangle is 180 degrees so subtract 65 degrees from it

PLEASE HELP 35 POINTS
Find the value of x in the triangle shown below.

Answers

Answer:

a

Step-by-step explanation:

Answer:

b is the answer

Step-by-step explanation:

b= 4.123..

Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the next three people. The numbers 0–5 represent people who use sunscreen, and the numbers 6–9 represent people who do not use sunscreen. What is the probability that two of the next three respondents use sunscreen?

Answers

Answer:

[tex]Pr = 0.50[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Probability that 2 of 3 use sunscreen

From the attached data, we have:

[tex]S = \{275, 738, 419, 582, 987, 436, 578, 472, 178, 839\}[/tex]

[tex]n(S) = 10[/tex]

Events where 2 of the 3 uses sunscreen is:

[tex]x = \{275, 419, 582, 436, 472\}[/tex] --- i.e. where 0 -5 represents sunscreen

[tex]n(x) = 5[/tex]

So, the required probability is:

[tex]Pr = \frac{n(x)}{n(S)}[/tex]

[tex]Pr = \frac{5}{10}[/tex]

[tex]Pr = 0.50[/tex]

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