Mathematics High School

Someone plz explains this to me

Answers

Answer 1

Answer:

x=19.86

Step-by-step explanation:

use cosine,

cos 19°=x/21

x=cos 19° * 21

x=19.86

Related Questions

Find the
Prove that sin theta tan theta= (1 + sec theta)(1 - cos theta)

Answers

Answer:

Step-by-step explanation:

RHS = (1 +Sec Ф)(1 - Cos Ф)

= 1*1 - 1*Cos Ф + Sec Ф *1 - Sec Ф *Cos Ф

= 1 - Cos Ф + Sec Ф - 1 {Sec Ф = [tex]\frac{1}{Cos \ theta}[/tex] )

=Sec Ф - Cos Ф

= [tex]\frac{1}{Cos \ theta}[/tex] - Cos Ф

[tex]= \frac{1}{Cos \ theta}-\frac{Cos \ theta*Cos \ theta}{Cos \ theta}\\\\= \frac{1-Cos^{2} \ theta}{Cos \ theta}\\\\= \frac{Sin^{2} \ theta}{Cos \ theta}\\\\=\frac{Sin \ theta*Sin \ theta}{Cos \ theta}\\\\= Sin \ theta*\frac{Sin \ theta}{Cos \ theta}[/tex]

= Sin Ф* tan Ф = LHS

Sin tita tan tita = LHS

Can some some help me with this one?

Answers

Answer: 7.5 x 10^3 is the answer.

Step-by-step explanation: First, 7.5 x 10^9 is 7500000000. Next, if you convert it to kilometers you would get 7500. And, 7.5 x 10^3 = 7500. Thus, that is the answer.

It cost 2.10 for a gourmet coffee shop to make a small latte.The price of a small latte is 2.94.What is the percent markup on the latte

Answers

Answer:

40%

Step-by-step explanation:

Given that :

Cost of production of small latte = 2.10

Sale price of small latte = 2.94

The Markup = Sale price of small latte - cost of production of small latte

The Markup = 2.94 - 2.10 = 0.84

Percentage Markup = (0.84 / 2.10) * 100%

Percentage Markup = 0.4 * 100% = 40%

Given the following coordinates complete the glide reflection transformation.

Answers

hopefully this answer can help you to answer the next question.

which exponential expression is equivalent to

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Answer:

Step-by-step explanation:

(y^(4))^(1/5)=y^(4/5)

Find the value of y. Round
the nearest tenth.

Answers

Answer: 178.3

Step-by-step explanation:

Use cos to find the value of x: cos(27)=350/x

You will find x = 392.81

Using this value, find sin(27): Sin(27)=y/392.81

You will find y=178.33

Rounding to the nearest tenth, you get 178.3

Test
Subre
Which of these graphs represents a function?
1
2
1
45-43-2-1,
1 2 3 4 5
5-4-3-
-1:
1 2 3 4
2
3
4
.5
5
W.
X.
2
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1 2 3 4
5-4-3-2-N 1 2 3 4 5
-3
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Y
A w
B.
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OD. Z
arch
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99.
a

Answers

Answer:

Step-by-step explanation:

that's what I got and it was right

Using the theorem of the vertical line test, the graph c represents a function

How to determine the graph?

For a graph to represent a function, the graph must pass the vertical line test

The above means that each x value must point to exactly one y value

Using the above as a guide, we can conclude that the graph c represents a function

Answers

Answer:

f(x)=2×+7 is=21

Step-by-step explanation:

i dont know that oh! i hope it helps for you

Solve the triangle. Round your answers to the nearest tenth.

Answer Options:
A. m∠B=47, m∠C=28, b=24
B. m∠B=47, m∠C=28, b=28
C. m∠B=43, m∠C=32, b=28
D. m∠B=46, m∠C=29, b=24

Answers

Answer:

Option B

You use sine rule to find the missing angles

Answered by GAUTHMATH

For any triangle ABC, The correct option the given triangle is B. m∠B=47, m∠C=28, b=28.

What is law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took,

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

We have been given angle A = 105 degrees and side a = 37, side c = 18.

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle C}{c}\\\\\dfrac{sin\angle 105}{37} = \dfrac{sin\angle C}{18}\\\\sin\angle C = \dfrac{sin\angle 105}{37} \times 18 \\\\sin\angle C = 28[/tex]

By angle sum property;

A + B + C = 180

105 + 28 + B = 180

B = 180 - 133

B = 47

Therefore,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b}\\\\\dfrac{sin\angle 105}{37} = \dfrac{sin\angle 47}{b} \\\\b = 28[/tex]

Hence, the correct option the given triangle is B. m∠B=47, m∠C=28, b=28.

Learn more about law of sines here:

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State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔFED
~ ____

Answers

Answer:

FED ~ MLF

Step-by-step explanation:

∠L = ∠E

∠F = ∠F

Since both angles are congruent, that would mean all angles are congruent.

If all angles are congruent, then the triangles are always similar no matter the length of the sides.

The complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].

What are the similar triangles?

Similar triangles are the triangles that have the same shape, but their sizes may vary.

What is AA or angle angle similarity rule?

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

What are vertically opposite angles?

When two lines intersect each other, then the opposite angles are formed due to intersection are called vertical angles or vertically opposite angles.

According to the given question.

We have two triangles LMF and EDF

In triangles LMF and EFD we have

∠MLF = ∠DEF (given)

Also, ∠MFL = ∠DFE (vertically opposite angles)

Since, we know that " if any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other".

Therefore, by AA similarity criteria triangle FED is similar to FLM.

Hence, the complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].

Find out more information about AA similarity rule and vertically opposite angles here:

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What is the solution set of 7x 2 + 3x = 0?

{0, 3/7}
{0, -3/7}
{0, -4/7}

Answers

Answer:

the answer is b when we have two positives it makes a negitive therefore its b

Step-by-step explanation:

Please help me solve this guys

Answers

Answer:

Factored Form: y=(x+1) ( x+3)y=(x+1)(x+3)

X-intercepts: (-1,0), (-3,0)(−1,0),(−3,0)

Axis of Symmetry: x= -2x=−2

Vertex: (-2,-1)(−2,−1)

Domain: (\begin{gathered}(-\infty , \infty ), ( x | x ER)\\\end{gathered}

(−∞,∞),(x∣xER)

Range: y > =-1y>=−1

The area of a segment of a circle is the area of the corresponding sector of the circle _____ the area of the corresponding triangle.

Answers

Answer:

The area of a segment of a circle is the area of the corresponding sector of the circle minus the area of the corresponding triangle.

Step-by-step explanation:

We know area of segment of a circle is the area of the corresponding sector of the circle minus the area of the corresponding triangle.

if 1cm on a map represents 37 1/2 km what does a length of 2/5cm on the map represent

Answers

Answer:

Step-by-step explanation:

[tex]37 \frac{1}{2} \times \frac{2}{5} = \frac{75}{2} \times \frac{2}{5} = 15[/tex]

The entrance fee to a local waterpark is $34 per person. At the waterpark, you can rent a raft for $1.50 per hour. Which expression is equivalent to the amount it would cost Leah for h hours in the park if she rented a raft?

Answers

Algebraic Equation:

The entrance fee to enter the park is fixed and the amount of hours Leah will spend at the park is a variable.

We need to add the fixed and variable amounts.

34 + h

Because we don’t know how long Leah will spend on the raft we have to multiply h by the rate per hour for a raft.

34 + 1.50h

Therefore, Leah’s cost is 34 + 1.50h

Answer: 34+1.50h

Step-by-step explanation:

Algebraic Equation:

The entrance fee to the waterpark is the intial cost for Leah to get in the park. The amount of hours that Leah will spend at the park is a variable.

You need to add the intial cost and the variable amounts together.

34+h

You put the h in the equation because you don't know how long Leah will spend on the raft. You will be multiply by the rate per hour for a raft.

34+1.50h

Therefore the cost for Leah is 34+1.50.

34 + 1.50h

Therefore, Leah’s cost is 34 + 1.50h.

In a random sample of 190 people, 151 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round intermediate answers to at least five decimal places. Round your final answers to at least three decimal places.

Answers

Answer:

(0.7465 , 0.8429 )

Step-by-step explanation:

Confidence Level - "P" values

90% 1.645

Confidence Interval - "P" values

(0.7465 , 0.8429 )

A train travelling in a circular track of 0.75 km of radíus at 22 km/hr. Find the angle in degrees through which it turns in one minute.

Answers

Step-by-step explanation:

Radius of circular track=r=0.75km

Circumference=2πr=2πkm

Speed of train=36 km\hr

Distance moved by train in 30 seconds =36×

3600

For 2π km, train turns 2π

∴ For

km, train turns

∘

1 minute of arc=

∘

Angle turned by train =(

54×60

) minutes of arc.

≃1031 minutes

Answer:

vận tốc22

chiềudai0.75

t=1/60

đ=111/30

Please help i do not understand this question!

Answers

Answer:

Distributive property

Step-by-step explanation:

The rule being shown here is the distributive property, because the first binomial is taken apart and separately multiplied with the other binomial.

instruction Find m<HFG

Answers

Answer:

∠ HFG = 79°

Step-by-step explanation:

The inscribed angle HFG is half the measure of its intercepted arc, that is

∠ HFG = [tex]\frac{1}{2}[/tex] × 158° = 79°

Find the volume of this cylinder.

As soon as possible please..

Answers

Answer:

144

Step-by-step explanation:

V=PIr^2h

PI=3

V=3r^2h

r=2 h=12

V=3(2^2)12

V=3(4)12

V=12(12)

V=144in^3

Step-by-step explanation:

36 in ^3 is the volume of cylinder

please help in indices
[tex] \frac{ {5}^{m + 2} - {5}^{m} }{ {5}^{m + 1} + {5}^{m} } \\ \\ \frac{ {4}^{m} + {4}^{m + 1} }{ {4}^{m + 2} - {4}^{m} } [/tex]

Answers

Step-by-step explanation:

Hey there!

Please see your required answer in picture.

Hope it helps!

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

. Doanh nghiệp dự tính đầu tư góp vốn liên doanh với số tiền ban đầu là 500 trđ, trong vòng 4 năm, lãi suất dự kiến là 12%/năm. Tính tổng số lãi của hoạt động đầu tư liên doanh thu được sau khi kết thúc liên doanh ?

Answers

i dont understand nun of that

If the ratio between the radii of two spheres is 3:7, what is the ratio of
their volumes?

A. 27:343
B. 9:49
C. 9:7
D. 21:49

Answers

Answer:

Step-by-step explanation:

Ratio of volume is ratio of the radius raised to the power 3.

The ratio of the volume of the spheres is 27 : 343

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

The ratio of the radii of two spheres is 3:7.

Therefore, if the smaller sphere has a radius of 3x, then the larger sphere has a radius of 7x.

The ratio of the volumes of the two spheres is given by:

(Volume of smaller sphere) : (Volume of larger sphere) = (4/3)π(3x)³ : (4/3)π(7x)³

Simplifying the above expression, we get:

(Volume of smaller sphere) : (Volume of larger sphere) = 27 : 343

Hence , the ratio of the volumes of the two spheres is 27 : 343

To learn more about sphere click :

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Find X
Round to the nearest tenth

Answers

Answer:

x=437.3 ft

Step-by-step explanation:

cos(29)=B/H, cos(29)=x/500. x=437.3 ft

If you rolled a die, what is the probability that you would roll a 3 or a 9? Give your answer as a simplified fraction.
P(3 or 9) =

Answers

Answer: P (3 or 9) = 1/6

Step-by-step explanation:

Concept:

Here, we need to know the idea of probability.

Probability is a measure of the likelihood of an event to occur.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

The numbers on a dice: 1, 2, 3, 4, 5, 6

Total numbers = 6

Number of 3 = 1

Number of 9 = 0

P (3 or 9) = Favorable / Total (refer to the attachment below)

P (3 or 9) = (1 + 0) / (6)

P (3 or 9) = 1 / 6

Hope this helps!! :)

Please let me know if you have any questions

please tell me what x =?

Answers

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from angle x, we know the opposite side and the adjacent side. Therefore, we should use the tangent function to solve.

tan(x) = 8/10

x = tan^-1(8/10)

x = 38.7 degrees

Hope this helps!

Find the missing segment in the image below

Answers

Answer:

? = 42

Step-by-step explanation:

24/8 = ?/14

cross mult

24/8 = x/14

336=8x

x = 42

Solve for x.
A) -9
C) -5
B) -11
D) 10

Answers

Answer:

here's the answer to your question

Answer: D. 10

Step-by-step explanation:

Concept:

Here, we need to know the triangle sum theorem.

The Triangle Sum Theorem states that the sum of the three interior angles in a triangle is always 180°.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

According to the Triangle Sum Theorem:

∠1 + ∠2 + ∠3 = 180

Substitute the angle values

(60) + (50) + (7x) = 180

Combine like terms

110 + 7x = 180

SUbtract 110 on both sides

110 + 7x - 110 = 180 - 110

7x = 70

Divide 7 on both sides

7x / 7 = 70 / 7

x = 10

Hope this helps!! :)

Please let me know if you have any questions

draw the graphs of the lines represented by the equations 3x-4y=1 and 4x-3y=6 in the same graph. also find the coordinates of the point where the two lines intersect

Answers

Answer:

I've attached the graph with it, the intersection point is,

x = 3, y = 2

Help anyone can help me do this question,I will mark brainlest.

Answers

Answer:

Question 3: 220 centimeters

Question 4: 31.4 millimeters

Step-by-step explanation:

Question 3:

Formula for circumference: 2πr

2πr

Exchange π for 22/7

2 · (22/7) · r

Exchange r (radius) for 35

2 · (22/7) · 35

Simplify:

2 · (22/7) · 35

44/7 · 35

220; 220 centimeters

Question 4:

Formula for circumference: 2πr

2πr

Exchange π for 3.14

2 · 3.14 · r

Exchange r (radius) for 5

2 · 3.14 · 5

Simplify:

2 · 3.14 · 5

6.28 · 5

31.4; 31.4 millimeters

Answer:

220 cm31.4 mm

Step-by-step explanation:

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

Solve:

Question # 1

r = 35 cm

π = 22/7

Circumference = 2πr

Circumference = 2 (22/7) (35)

Circumference = 2 (110)

Circumference = 220 cm

Question # 2

r = 5 mm

π = 3.14

Circumference = 2πr

Circumference = 2 (3.14) (5)

Circumference = 10 (3.14)

Circumference = 31.4 mm

Hope this helps!! :)

Please let me know if you have any questions

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