A 37-foot ladder is leaning against a building. The angle between the ladder and the top of the building is 21. How far up the building does the ladder reach? Round to the nearest tenth.

Answer:

80 students

Step-by-step explanation:

400/80%=320

400-320=80

Answer: 1

−x+2y=−5;3x−2y=−1

Step: Solve−x+2y=−5for x:

−x+2y=−5

−x+2y+−2y=−5+−2y(Add -2y to both sides)

−x=−2y−5

−x

−1

=

−2y−5

−1

(Divide both sides by -1)

x=2y+5

Step: Substitute2y+5forxin3x−2y=−1:

3x−2y=−1

3(2y+5)−2y=−1

4y+15=−1(Simplify both sides of the equation)

4y+15+−15=−1+−15(Add -15 to both sides)

4y=−16

4y

4

=

−16

4

(Divide both sides by 4)

y=−4

Step: Substitute−4foryinx=2y+5:

x=2y+5

x=(2)(−4)+5

x=−3(Simplify both sides of the equation)

Answer:

x=−3 and y=−4

Step-by-step explanation:

Step-by-step explanation:

Answer:

a² + 5a - 8

Step-by-step explanation:

If the construction paper has a length of a² + 7a - 3, and Katelyn cut a piece 2a + 5 long, the amount of construction paper that would be left is,

a² + 7a - 3 - (2a + 5)

= a² + 7a - 3 - 2a - 5

collecting like terms, we have

= a² + 7a - 2a - 3 - 5

simplifying, we have

= a² + 5a - 8

Answer: $40.50

Step-by-step explanation:

Since 15% of his total earnings was from raking leaves. The earning from taking leave will be:

= 15% × $90

= 0.15 × $90

= $13.50

Earnings from mowing lawns = $36

The earnings from walking dogs will be:

= $90 - $36 - $13.50

= $40.50

Answer:

Quadrilateral, Square, and Rhombus

Step-by-step explanation:

Hope it helped!

Answer:

I think quadrilateral and rhombus.

Step-by-step explanation:

Answer:

The average speed is 7.5 [tex]\frac{ m}{ s}[/tex]

Step-by-step explanation:

Speed ​​is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it.

Then, the average speed relates the change in position to the time taken to effect that change:

[tex]speed=\frac{change in position}{change in time}[/tex]

The change in position is the difference between the final position and the initial position, while the change in time is the difference between the final and initial time.

In this case, the starting and ending positions are calculated by replacing the times in the function of the distance d (t):

d(5)= 0.5*5²= 12.5 m

d(10)= 0.5*10²= 50 m

So:

Replacing in the definition of speed:

[tex]speed=\frac{37.5 m}{5 s}[/tex]

and solving you get:

speed= 7.5 [tex]\frac{ m}{ s}[/tex]

The average speed is 7.5 [tex]\frac{ m}{ s}[/tex]

Answer:

Step-by-step explanation:

1.21 United States Dollar

Answer:

It would take him 4 days.

Step-by-step explanation:

For graphing get your paper. the line numbers you would go by ones on the x axis and ones on the y axis. Put a dot at (0,0) the go up 1, and to the right twice. do this over and over again until you can't see any more points. then make a line with the points

Answer:

40.32 cm²

Step-by-step explanation:

The area of the small rectangle = 7 × 4 = 28 cm²

Given the ratio of the sides of similar rectangles = a : b , then

the ratio of the areas = a² : b²

Here ratio of sides = 4 : 4.8 = 1 : 1.2

ratio of areas = 1² : 1.2² = 1 : 1.44

Let x be the area of the larger rectangle then by proportion

[tex]\frac{1}{28}[/tex] = [tex]\frac{1.44}{x}[/tex] ( cross- multiply )

x = 40.32

Area of larger rectangle is 40.32 cm²

Answer:

do it yourself loser

Step-by-step explanation:

loser

Answer:

The answer to the question is A

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

Answer:

I would say B. 39.

Step-by-step explanation:

Hope this helps:)

Answer:

1)145,096,704

Step-by-step explanation:

24*2=48

48/3=16

1.2214*2=4428

2.*2=8856

3.*2=17712

4.*2=35424

5.*2=70848

6.*2=141696

7.*2=283392

8.*2=566784

9.*2=1133568

10.*2=2267136

11.*2=4534272

12.*2=9068544

13.*2=18137088

14.*2=36274176

15.*2=72548352

16.*2=145096704

Answer:

<1=117°

Step-by-step explanation:

The sum of two opposite interior angles equals one exterior angle.

<1=58+59=117°

Answer:

it is equivalent

Step-by-step explanation:

6(c+6)

6c+6

Answer:

I would say 21 sorry if it was wrong

Step-by-step explanation:

3 x 3 is 9.

4 x 3 is 12.

9+12 is 21.

Answer:

answer is 3

Step-by-step explanation:

8-5

4(2)=8

3+2=5

8-5=3

Answer:

46

Step-by-step explanation:

Answer:

C the tree grew 6 inches in 2 months

hope it helps and have a wonderful day

Answer:

48 weeks

Step-by-step explanation:

Answer:

m∠1 is 49° and m∠3 is 49°

Step-by-step explanation:

In the given figure

∵ There are 2 parallel lines

∵ A transversal cuts them

∴ ∠4 and ∠8 are corresponding angles

→ Corresponding angles are equal in measures

∴ m∠4 = m∠8

∵ m∠8 = 131°

∴ m∠4 = 131°

∵ ∠1 and ∠4 formed a pair of linear angle

∵ The sum of the measures of the linear angles is 180°

∴ m∠1 + m∠4 = 180°

→ Substitute ∠4 by 131°

∴ m∠1 + 131° = 180°

→ Subtract 131 from both sides

∵ m∠1 + 131 - 131 = 180 - 131

∴ m∠1 = 49°

∵ ∠1 and ∠3 are vertically opposite angles

∴ m∠1 = m∠3

∵ m∠1 = 49°

∴ m∠3 = 49°

x = 1.43 is the solution to the equation 6 • e^x = 25, rounded to two decimal places

Answer:

is -4=Y

Step-by-step explanation:

i had that problem

Answer:

by phythagoras theorem

(c+b)^2=(8)^2+(6)^2

(b+c)^2=64+36

(b+c)^2=100

b+c=√100

b+c=10.

by phythagoras theorem

(8)^2=(a)^2+(b)^2

64-b^2=a^2. {1}

by phythagoras theorem

(6)^2=(a)^2+(c)^2

36-c^2=a^2. {2}

In equation 1 and 2,

64-b^2=36-c^2

64-36= -c^2+b^2

28= b^2-c^2

28=(b+c)(b-c)

28=10(b-c)

b-c=28/10

b-c=2.8.

b+c=10

b-c=2.8

subtract both equations

c=3.6

option A is correct.

Answer:

1. 18.84 in

2. 56.52 cm

3. 4.71 ft

4. 25.12 m

5. 37.68 ft

6. 12.56 yd

7. 43.96 in

8. 28.26 cm

9. 7.85 m

Step-by-step explanation:

[tex]C=2\pi r[/tex]

Answer:

$72 would be the retail price

Step-by-step explanation:

Answer:

a. 7-n

Step-by-step explanation:

1. Write the number form for the difference of 7 and n.

= 7 - n

a. 7-n

2. The expression for the sum of g and 34

= g + 34

3. The expression for the quotient of 5 and y.

= 5/y

b. 5 / y

4. The expression for the product of 8 and t.

= 8 × t

= 8t

C. 8 x t

5. The expression for the sum of y and 6

= y + 6

d. y+ 6

6. The expression for the difference of z and 5.​

= z - 5

The conic section as a collection of points(loci) on a plane can be defined in this way .

A conic section is a curve obtained by intersecting a cone with a plane. In Algebra , There are  four main types of conic sections:

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas that help us solve various types of problems.

A locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

According to the question

There are 4 main types of Conic section :

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas

Loci for circle : The locus of a circle is defined as a set of points on a plane at the same distance from the center point.

Loci for parabola : A parabola is a locus of points that are equidistance form a focus and a directrix .

Loci for hyperbola: A hyperbola is the locus of points such that the absolute value of the difference between the distances from to and to is a constant.

Loci for ellipse: An ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane, is constant. The fixed points are known as the foci (singular focus), which are surrounded by the curve.

Hence, The conic section as a collection of points(loci) on a plane can be defined in this way .

To know more about conic section and loci  here:

https://brainly.com/question/10311514

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