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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:

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: 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:

Step-by-step explanation:

I plugged in the values to a calculator

hope this help you! have a great day

Answer:

y=kx

Step-by-step explanation:

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

Answer:

30

Step-by-step explanation:

120+30 =150

180-150 =30

Answer:

30

Step-by-step explanation:

Answer:

21600cm^3

Step-by-step explanation:

7200cm^3÷30cm=24cm

24cm×30cm×40cm

=21600cm^3

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:

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:

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:

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.

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

Using t-test, there isn't an enough evidence to support our claim that investment average is $135,000 at α = 0.05.

The one sample t test compares the mean of your sample data to a known value (population mean in our question, i.e. , we wish to compare the sample mean with the population mean). One sample t test should be used when you the population standard deviation is not known or the sample size is very small.

Assumptions of the t-test for the test to be valid:-

Null hypothesis:  μ = $143,260

Alternative hypothesis: μ < $143,260

Calculating test statistic.

n = 30

sample mean = $135,000

sample standard deviation = $30,000

[tex]t_{0} = \frac{sample\ mean - population\ mean}{\frac{standard\ deviation}{\sqrt{sample\ size} } }[/tex]

[tex]t_{0} = \frac{135000 - 143260}{\frac{30000}{\sqrt{30} } }[/tex]

|to| = 1.508

Test criteria:

level of significance = 0.05

t(0.05, 29) = 1.6991

Since, |to| = 1.508 < t(0.05, 29) = 1.6991, null hypothesis cannot be rejected.

Learn more about t-test here

https://brainly.com/question/15870238

#SPJ2

The answer would be 14.3

Answer:

non linear ( ꈍᴗꈍ)( ╹▽╹ )( ╹▽╹ )

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:

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:

Hyperbole

Step-by-step explanation:

because i did that test

Answer:

Both r hyperbole

Step-by-step explanation:

Answer:

x = 22

Step-by-step explanation:

6x + 48 = 180

6x = 132

X = 22

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:

BLM

Step-by-step explanation:

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:

C

Step-by-step explanation:

Answer:

=1/5

(Decimal: 0.2)             SO   I would go with A

Hope this helps and its correct

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:

12

Step-by-step explanation: