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Lisa is building a shelf, she will cut a 62.5 inch long board into 5 equal pieces. How many inches will each piece be?

Answer:

Step-by-step explanation:

As two sides are equal so angles opposite to these are also equal, hence

5x-4=x+52

4x=56

X=14

Now,

R=5x-4

R=66

And,Q=x+52

Q=66(we already knew both angles are equal)

Now as sum of all angles of triangle equal 180 so,

66+66+P=180

P=48

Answer:4/5

Step-by-step explanation:

y= (1/5)x

y= 1/5 (4)

y= 4/5

Hope it's working :)

Answer:

exact form = 4/5

decimal form = 0.8

Step-by-step explanation:

Answer:

A = 53°

AB = 23.3

BC = 18.6

Step-by-step explanation:

2. Given,

C = 90°

B = 37°

AC = 14

Required:

A, AB, and BC

Solution:

✔️A = 180 - (90 + 37) (sum of triangle)

A = 53°

✔️Find AB and BC using trigonometric function:

Reference angle = 37°

Opp = 14

Hyp = AB

Adj = BC

To find AB, apply SOH:

Sin 37 = Opp/Hyp

Sin 37 = 14/AB

AB = 14/Sin 37

AB = 23.262962 ≈ 23.3 (nearest tenth)

To find BC, apply TOA:

Tan 37 = Opp/Adj

Tan 37 = 14/BC

BC = 14/Tan 37

BC = 18.5786275 ≈ 18.6 (nearest tenth)

Answer:

The diameter must pass through the center of the circle.

Step-by-step explanation:

TRUE STATEMENT :

The diameter must pass through the center of the circle.

Answer:

A. Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.

Step-by-step explanation:

The only way to answer this question is to check the definitions of chord and diameter.

A chord is a segment with endpoints on the circle. In the attached figure the segments CD and GH are chords.

Now, notice that according to the given definition the segment EF is also a chord, but with the special characteristic that the center of the circle, denoted by A, it is on the segment. This ‘‘special’’ chords that contains the center of the circle are called diameter.

Sometimes the diameters are also called the larger of the chords.

Answer:

BLM

Step-by-step explanation:

Answer:

21600cm^3

Step-by-step explanation:

7200cm^3÷30cm=24cm

24cm×30cm×40cm

=21600cm^3

Answer:

3.00 years

Step-by-step explanation:

Cindy Lou deposited $85 in the bank earning 4.5% interest annually. About how many years will it take her to earn $11.48 in interest?

Your answer

Given data

Principal= $85

Rate= 4.5%

Intterest=  $11.48

The simple interest formula is

SI= PRT/100

11.48= 85*4.5*T/100

cross multiply

11.48*100= 85*4.5*T

1148=382.5T

divide both sides by 382.5

T= 1148/382.5

T= 3.00 years

Hence the time is 3 years

Answer:

30

Step-by-step explanation:

120+30 =150

180-150 =30

Answer:

30

Step-by-step explanation:

Answer:

y=kx

Step-by-step explanation:

For this example it would be [tex]y=\frac{72}{2} x\\[/tex] or y=36x

Answer:

110.97561

Step-by-step explanation:

  82% of n = 91

82/100 × n = 91

 41/50 × n = 91

              n = 4550/41

  4550/41 = 110.97561

Answer:

110.98

Step-by-step explanation:

 82% of n = 91

82/100 × n = 91

41/50 × n = 91

             n = 4550/41

 4550/41 = 110.97561

round your answer and you will get 110.98.

Answer:

h = 38

Step-by-step explanation:

[tex] \frac{h + 52}{70} = \frac{9}{7} [/tex]

[tex]h + 52 = \frac{9}{7} \times 70[/tex]

[tex]h + 52 = \frac{9 \times 70}{7} [/tex]

[tex]h + 52 = \frac{630}{7} [/tex]

[tex]h + 52 = 90[/tex]

[tex]h = 90 - 52[/tex]

[tex]h = 38[/tex]

the answer is 38.

hope this help you! have a great day

The answer would be 14.3

Answer:

A cada grado podrían darle, o 600 hojas en un caso.

O bien, 1200 hojas.

Step-by-step explanation:

Total de paquetes: 12

Cada paquete tiene, 2 resmas con 500 hojas lo cual se entendería que en cada resma hay 250 hojas

(Como son 2 resmas el total es de 500 hojas)

Si cada paquete tiene 500 hojas y hay 12 paquetes

500 hojas/paquete . 12 paquetes = 6000 hojas

6000 hojas / 10 grados = 600 hojas para cada grado.

Si pensamos que en 2 resmas de papel hay 500 hojas cada paquete tendría un total de 1000 hojas ya que:

2 resmas . 500 hojas/resma = 1000 hojas.

Si son 12 paquetes, 1000 hojas/paquete . 12 paquetes = 12000 hojas.

12000 hojas repartidas en 10 grados, son (12000 /10) = 1200 hojas.

Answer:

C

Step-by-step explanation:

Answer:

G(-4,6)

Step-by-step explanation:

Here, we want to write a translation

moving left means we are to subtract the number of units from the original

So we have this as -4

Moving up means we are to add the number of units to the original

So we have this as +6 = + 6 units

So the answer here will be;

(-4,6)

G.  (-4, 6).

Given translation is 4 units left and 6 units up.

For left we use negative sign. And for up was use plus sign.

So the translation vector is (-4, 6).

Find out more information about the translation here: https://brainly.com/question/12861087

Answer:

x = 22

Step-by-step explanation:

6x + 48 = 180

6x = 132

X = 22

Answer:

5.24 inches

Step-by-step explanation:

We are to find the arc length of the above circle

The formula is given as:

2πr × θ/360

θ = 75°

Radius = 4 inches

Arc length ZY = 2 × π × 4 × (75/360)

= 5.235987756 inches

Approximately = 5.24 inches

Arc length ZY = 5.24 inches

Answer:

1.2 ounces of each bracelet is made up from wire.

Step-by-step explanation:

2.2 x 2 = 4.4

6.8 - 4.4 = 2.4

2.4 / 2 = 1.2

Answer:

The area of the trapezoid is 57.5 in.²

Step-by-step explanation:

The given information of the trapezoid are;

The vertices of the trapezoid = QRST

The altitude of the trapezoid = 5 in.

The shape the altitude divides the trapezoid into = A square and an isosceles right triangle

The long side of the rectangle = 9 in.

Therefore, we have;

The legs of an isosceles right triangle are equal

Given that one of the legs of the isosceles right triangle = The altitude of the triangle = 5 in.

Therefore, for the isosceles triangle, the length of the other leg = 5 in.

Therefore;

The area of the right triangle = 1/2 × Base × Height (altitude)

The area of the right triangle = 1/2 × Leg × leg = 1/2 × (Leg)²

∴ The area of the right triangle = 1/2 × 5 in. × 5 in. = 12.5 in.²

The length of the rectangle is given as l = 9 in.

The height of the rectangle, h = The altitude of the rectangle = 5 in.

The area of the rectangle, A = l × h

∴ The area of the rectangle, A = 9 in. × 5 in. = 45 in.²

The area of the trapezoid = The area of the right triangle + The area of the rectangle

The area of the trapezoid = 12.5 in.² + 45 in.² = 57.5 in.²

Answer:

Hyperbole

Step-by-step explanation:

because i did that test

Answer:

Both r hyperbole

Step-by-step explanation:

Answer:

non linear ( ꈍᴗꈍ)( ╹▽╹ )( ╹▽╹ )

Answer:

Step-by-step explanation:

I plugged in the values to a calculator

Answer:

=1/5

(Decimal: 0.2)             SO   I would go with A

Hope this helps and its correct

Answer: a=-1

Step-by-step explanation:

Given

[tex]\log_2 (-a+4)=\log _2(3-2a)[/tex]

As the base of both the logarithm is the same. Therefore, the value inside the logarithm is also the same

[tex]\Rightarrow -a+4=3-2a\\\Rightarrow 2a-a=3-4\\\Rightarrow a=-1[/tex]

Thus, the value of a is -1

Answer:

12

Step-by-step explanation: