What is the area of the triangle?

Answer:

length of string  ≈ 421  units (nearest whole number)

Step-by-step explanation:

Juliet is standing on the balcony 44 above the ground . The angle of depression is 6°. A string was held between Juliet and Romeo.

The illustration forms a right angle triangle. The hypotenuse of the triangle is the length of the string held by both star crossed lovers. The opposite side of the triangle is given as 44. Therefore,

using sin ratio

sin 6° = opposite/hypotenuse

sin 6° = 44/length of string

cross multiply

length of string sin 6° = 44

divide both sides by sin 6°

length of string = 44/sin 6°

length of string = 44/0.10452846326

length of string = 420.937978274

length of string  ≈ 421 units(nearest whole number)

Answer:

Campers: 7, 14, 28, 42

Adults: 1,2,5,30

Step-by-step explanation:

The tabular representation of the ratio of campers to adults in the summer camp is given as follows -

CAMPERS :  7          14        21          28      . . . .    7n

ADULTS :     1           2          3           4        . . . .     n

We have a summer camp in which the ratio of campers to adults is kept equivalent to 7:1 .

We have to complete the table using the equivalent ratios.

To find the equivalent ratios of a : b, follow the simple rule -

[tex]a:b=\frac{a}{b}=\frac{a\times2}{b\times2} =\frac{a\times3}{b\times3} =\frac{a\times4}{b\times4} = ... =\frac{a\times n}{b\times n}[/tex]

In the question given -

[tex]a:b=\frac{7}{1}=\frac{7\times2}{1\times2} =\frac{7\times3}{1\times3} =\frac{7\times4}{1\times4} = ... =\frac{7\times n}{n\times n}[/tex]

Hence, we can write the equivalent ratios in the form of tables -

CAMPERS :  7          14        21          28      . . . .    7n

ADULTS :     1           2          3           4        . . . .     n

To solve more question on ratios, visit the link below -

brainly.com/question/28026128

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Answer:

  [tex]x=\pm2\sqrt{10}[/tex]

Step-by-step explanation:

You want to solve ...

  [tex]40 -x^2=0\\\\40=x^2\qquad\text{add $x^2$}\\\\\pm\sqrt{40}=x\qquad\text{take the square root}\\\\\boxed{x=\pm2\sqrt{10}}\qquad\text{simplify}[/tex]

Answer:

63/100

Step-by-step explanation:

0.63 = 63/100

Answer:

Step-by-step explanation:

( x + y ^)2 finds the area of the outer square by squaring its side length.

z²  + 4( 1/2xy )  finds the area of the outer square by adding the area of the inner square and the four triangles.

Answer:

1) (x+y)^2

2) z^2+4(1/2xy)

Step-by-step explanation:

( x + y )^2 finds the area of the outer square by squaring its side length.

z²  + 4( 1/2xy )  finds the area of the outer square by adding the area of the inner square and the four triangles.

Answer:64,348

Step-by-step explanation:

please make brainliest

Yes I can solve the sequence table

Give me any question you prefer

Answer:

49

Step-by-step explanation:

-7 + 8 x 7

order of operations says to do 8 x 7 first

-7 + 56

simple addition gets you to

49

Answer:

49

Step-by-step explanation:

-7+8x7

Use PEMDAS

first multiply 8 and 7 =56

then add -7 and +56

56-7 =49

Answer:

bh/2 and (top base+bottom base)/2

Step-by-step explanation:

first one for triangles and second one for trapezoids

I hope i'm right

Answer:

13 units

Step-by-step explanation:

Since the x-coordinates are the same, you can simply add the absolute value of the y-coordinates.

|2 + (-15)|

or

|2 - 15|

= 13

Therefore, the distance from the school to theater is 14 units.

Answer:

13 units

Step-by-step explanation:

on edge 2020

Answer:

25

Step-by-step explanation:

I did this trust me :D

Answer:

25

this will help you

Answer:

Length of x ⇒ ( About ) 11.5; Option C

Step-by-step explanation:

~ Let us plan this question step-by-step. We know that the line segment with length 13.1 is a radii to the circle, as well as a hypotenuse to a right triangle. Respectively the hypotenuse of another triangle is a hypotenuse as well. By radii ≅, these two part of these two triangles are ≅ ~

1. If these two parts are ≅, the triangle with leg x has a hypotenuse of 13.1 as well ( through ≅ ). This would mean that Pythagorean theorem is applicable for this triangle, as to solve for line segment x.

2. By Pythagorean Theorem ⇒

6.2^2 + x^2 = 13.1^2,

38.44 + x^2 = 171.61,

x^2 = 133.17

Length of x ⇒ ( About ) 11.5

Answer:

Number of students in each van = 18

Number of students in each bus = 53

Step-by-step explanation:

Given: The senior class at High School A rented and filled 2 vans  and 7 buses with 407 students.

High School B rented and filled 1 van and 7 buses with  389 students.

Also, every van and the van had the same number of students in it.

Solution:

Let x denotes number of students in each van and y denotes number of students in each bus.

According to the given information,

[tex]2x+7y=407\,\,\,(i)\\x+7y=389\,\,\, (ii)[/tex]

From (ii), put [tex]x=389-7y[/tex] in (i)

[tex]2(389-7y)+7y=407[/tex]

[tex]778-14y+7y=407\\778-407=7y\\7y=371\\y=\frac{371}{7}=53[/tex]

Put [tex]y=53[/tex] in [tex]x=389-7y[/tex]

[tex]x=389-7(53)\\=389-371\\=18[/tex]

Number of students in each van = 18

Number of students in each bus = 53

Answer:

2x⁶ + 16x⁵ + 30x⁴

Step-by-step explanation:

area of rectangle with height 2x⁴ and width x²+8x+15

area = height x width

2x⁴( x²+8x+15)

2x⁴( x²) +2x⁴(8x)+ 2x⁴(15)

2x⁴⁺² + 16x⁴⁺¹ + 30x⁴

2x⁶ + 16x⁵ + 30x⁴

the area of the rectangle in polynomial which is in standardised form is 2x⁶ + 16x⁵ + 30x⁴

Answer:

1/4

explanation:

i think not sure but i think its that

Answer:

x= −73/63

Step-by-step explanation:

try this

Answer:

30

He has 6 options for 1st place and 5 for second place. Multiply the two and you get 30

Hope this helps :)

Answer:

ion know bu heyyyyyy

Step-by-step explanation:

Answer:

94

Step-by-step explanation:

Answer:

.38

Step-by-step explanation:

1/16 * 6 = 6/16

Divide the top and bottom by 2

3/8

.375

Round to 2 decimal places

.38

Answer:15.3

Step-by-step explanation:

Answer:

(3x + 4)

Step-by-step explanation:

9x²+27x+20 can be factored out to (3x + 4)(3x + 5)

Answer: 6 inches of chain will he have left after making the necklaces

Step-by-step explanation:

There is a missing information. The correct question is:

Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces.

Solution

We would convert 4.5 feet to inches

1 foot = 12 inches

4.5 feet = 4.5 × 12 = 54 inches

Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. It means that the number of the 16 inches pieces of gold chain that can be gotten to make each of 3 necklaces necklaces is 16 × 3 = 48

The length of chain left chain that will he have left after making the necklaces is

54 - 48 = 6 inches

Please mark brainliest :]

Answer:

60

Step-by-step explanation:

first you have to multiply the the base times the height which in this problem its 4 and 3 then you get 12 area sq feet after all that you must multiply the width or 3rd number to get your finale answer that in this case is 60.

Answer:

The most common trigonometric identities are those involving the Pythagorean Theorem...

Step-by-step explanation:

The Pythagorean trigonometric identity, also called the fundamental Pythagorean trigonometric identity or simply Pythagorean identity is an identity expressing the Pythagorean theorem in terms of trigonometric functions..

Answer:

Zero of the function f(x) is x = 5

Step-by-step explanation:

Given function is f(x) = x² - 10x + 25

For zeros or x-intercepts of this function,

Put f(x) = 0

x²- 10x + 25 = 0

x² - 2(5)x + 5² = 0

(x - 5)² = 0 [Since, a² - 2ab + b² = (a - b)²]

x = 5

Therefore, x = 5 will be the zero of the given function.

Answer:

Hello, I think your answer is D, Third Move

Step-by-step explanation:

Answer:

The second answer choice from the top

Step-by-step explanation:

The formula for the circumference of a circle is  [tex]\pi \cdot d[/tex], where d is the diameter of the circle. In this case, this means that the circumference of the circle is [tex]17\cdot 3.14=53.38[/tex], or answer choice B. Hope this helps!

Answer:

C. 53.4cm

Step-by-step explanation:

Circumference= 2 x Pi x radius

53.38 or 53.4= 2 x 3.14 x 8.5

Answer:

E: b/3+3

Step by step:

3 C= b

C + 3 = b/3 + 3                     (Adding 3 to both sides)

Answer: E: b/3 + 3

Hope this helps

Answer:35

Simplifying

5(x + 20) = 7x + 30

Reorder the terms:

5(20 + x) = 7x + 30

(20 * 5 + x * 5) = 7x + 30

(100 + 5x) = 7x + 30

Reorder the terms:

100 + 5x = 30 + 7x

Solving

100 + 5x = 30 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

100 + 5x + -7x = 30 + 7x + -7x

Combine like terms: 5x + -7x = -2x

100 + -2x = 30 + 7x + -7x

Combine like terms: 7x + -7x = 0

100 + -2x = 30 + 0

100 + -2x = 30

Add '-100' to each side of the equation.

100 + -100 + -2x = 30 + -100

Combine like terms: 100 + -100 = 0

0 + -2x = 30 + -100

-2x = 30 + -100

Combine like terms: 30 + -100 = -70

-2x = -70

Divide each side by '-2'.

x = 35

Simplifying

x = 35

Hope it helps. Please tell me if im correct

Answer:

35

Step-by-step explanation:

5 * X= 5x

5* 20=100

these are for the ones inside the pararenthesis

so....

5x + 100= 7x+30

subtract 30 from both sides

5x+100-30= 7x-30-30

5x+70= 7x

now we need the variable on one side

so we subtract 5x on both sides

5x-5x+70= 7x-5x

70= 2x

now we divide by 2 on both to isolate the variable

70/2= 2/2

35=x

that's ur answer

hope this helped :D

Answer:

sometimes

Step-by-step explanation:

cant explain because i dont know if im right

Answer:

A. 112

Step-by-step explanation:

3x+22+2x+8 = 180

5x+30 = 180

5x = 150

x= 30

3(30)+22 = 112