round the side length to the nearest tenth and angle measures to the nearest degree​

Round The Side Length To The Nearest Tenth And Angle Measures To The Nearest Degree

Answers

Answer 1

Answer:

1. <A° = 50°

2. CB = 10.7

3. AB = 14

Step-by-step explanation:

1. Determination of angle A.

A° + B° = C°

B° = 40°

C° = 90°

A° + 40° = 90°

Collect like terms

A° = 90° – 40°

<A° = 50°

2. Determination of CB

Angle B = 40

Opposite = AC = 9

Adjacent = CB =?

Length CB can be obtained by using Tan ratio as illustrated below:

Tan B = Opposite / Adjacent

Tan 40 = 9 / CB

0.8391 = 9 / CB

Cross multiply

0.8391 × CB = 9

Divide both side by 0.8391

CB = 9 / 0.8391

CB = 10.7

3. Determination of AB

Angle B = 40

Opposite = AC = 9

Hypothenus = AB =?

The length AB can be obtained by using Sine ratio as illustrated below:

Sine B = Opposite / Hypothenus

Sine 40 = 9 / AB

0.6428 = 9 / AB

Cross multiply

0.6428 × AB = 9

Divide both side by 0.6428

AB = 9 / 0.6428

AB = 14


Related Questions

The following data represent the monthly phone use, in minutes, of a customer enrolled in a fraud prevention program for the past 20 months. The phone company decides to use the upper fence as the cutoff point for the number of minutes at which the customer should be contacted. what is the cutoff point?321 474 461 548406 464 517 311534 425 377 505322 435 410 513499 354 307 363The cutoff point is ____minutes( round to the nearest minute)

Answers

Answer:

The answer is "717.25 minutes".

Step-by-step explanation:

In this question first, we arrange the value in ascending order that are:

307,311,321,322,354,363,377,406,425,435,461,464,474,499,505,513,517,534,548

The median is always in an orderly position that is [tex]= \frac{(n+1)}{2}[/tex].

[tex]\to \frac{(n+1)}{2} = \frac{(20+1)}{2} = 10.5[/tex]  position orders

[tex]10^{th} \ and \ 11^{th}[/tex] place an average of observations so, the

[tex]Average = \frac{(425 +435)}{2} = \frac{(860)}{2} =430[/tex]

Because as medium stands at 10.5 that median is as below 10 are greater than the level.

[tex]Q_1[/tex] often falls throughout the ordered BELOW average is [tex]= \frac{(n+1)}{2}[/tex] place.

[tex]\to \frac{(n+1)}{2} = \frac{(10+1)}{2} = 5.5^{th}[/tex]ordered position

Average [tex]5^{th} \ and \ 6^{th}[/tex]  location findings

[tex]Q_1 = \frac{(354+363)}{2} = \frac{(717)}{2}= 358.5[/tex]

In  [tex]= \frac{(n+1)}{2}[/tex] the ordered place, Q3 always falls ABOVE the median.

[tex]\to \frac{(n+1)}{2} = \frac{(10+1)}{2} = 5.5^{th}[/tex] ordered At median ABOVE 

Consequently [tex]Q_3[/tex] falls between [tex]5^{th} \ and \ 6^{th}[/tex] ABOVE the median position

[tex]15^{th}\ and \ 16^{th}[/tex]place average of observations

[tex]\to Q_3 = \frac{(499+505)}{2}=\frac{(1004)}{2} = 502[/tex]

[tex]\to IQR = Q_3 - Q_1= 502-358.5= 143.5[/tex]  

[tex]\to \text{Upper fence} = Q_3 + 1.5 \times IQR= 502 + 1.5 \times 143.5 = 717.25[/tex]

The half life of a radioactive kind of cesium is 30 years. How much will be left after 120 years, if you start with 960 grams of it

Answers

Answer:

60 grams

Step-by-step explanation:

120 years / half-life of 30 years = it will grow half the size 4 times

960 * 1/2 ^ 4 = 960 * 1/2  * 1/2 * 1/2 * 1/2 = 60 grams

Suppose that c is a number for which the equation c÷c = 1 is false. What is c?

Answers

Zero is the answer as 0/0 is 0, not 1

solve the inequality. Graph the solution on a number line. 7<_2

Answers

i have no idea but i really need help on this too33458584837

What is the perimeter of ABCD?

Answers

Answer:

360°

Step-by-step explanation:

Based on what I know that the total of degrees has to be 360°. So, two sides of the rhombus have to have two acute angles and two obtuse angles. So, the  Image shows that the 63° is an acute angle. So, multiply 63 by 2 which is 126. Then subtract 126 from 360 which is 234. Then, divide 234 by 2 which is 117. Lastly, add 63 with 63 and 117 with 117 which is 360.

Hopefully, you understand.

Solve the equation x² = 5. (must show equality properties in work so I can earn full credit)

A. x = 5

B. x = 25

C. x = √5

D. x = ±√5

Answers

x² = 5
take root to both side to clear the square

√x² = ±√5

X = ±√5
The awnser is c. I really hope this helps

If sin theta = -2/3 which of the following are possible?

Answers

Answer:

a

Step-by-step explanation:

The possible trigonometric function is option (C) [tex]sec \theta = \frac{3}{\sqrt{5} }[/tex] and [tex]tan \theta = \frac{-2}{\sqrt{5} }[/tex] is the correct answer.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The trigonometric function, sin θ = -2/3

We know that [tex]sin \theta = \frac{opposite}{hypotenuse}[/tex]

So, opposite = -2, hypotenuse = 3

The other side of the right triangle adjacent side can be found by using the Pythagoras theorem,

[tex]adjacent=\sqrt{hypotenuse^{2} -opposite^{2} }[/tex]

⇒ [tex]adjacent=\sqrt{3^{2} -(-2)^{2} }[/tex]

⇒ [tex]adjacent=\sqrt{9-4 }[/tex]

⇒ [tex]adjacent=\sqrt{5}[/tex]

Now, [tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex] and [tex]tan \theta = \frac{opposite}{adjacent}[/tex]

Then, [tex]cos \theta = \frac{\sqrt{5} }{3}[/tex]

[tex]sec \theta = \frac{1}{cos \theta}[/tex]

⇒ [tex]sec \theta = \frac{1}{\frac{\sqrt{5} }{3} }[/tex]

⇒ [tex]sec \theta = \frac{3}{\sqrt{5} }[/tex]

[tex]tan \theta = \frac{-2}{\sqrt{5} }[/tex]

Hence we can conclude that the possible trigonometric function is option (C) [tex]sec \theta = \frac{3}{\sqrt{5} }[/tex] and [tex]tan \theta = \frac{-2}{\sqrt{5} }[/tex] is the correct answer.

Learn more about trigonometry here

https://brainly.com/question/16965914

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Need help with math who is uppppp brainlest and points pls hurry

Answers

Answer:

[tex]The~triangles~AED~and~ABC~are~similar.\\So,\\\frac{AD}{AB} = \frac{DE}{BC} [Corresponding~sides~of~similar~triangles~are~proportional.]\\or, \frac{30}{15} = \frac{34}{x} \\or, x = \frac{15(34)}{30} = 17inches[/tex]

What is 5 1/2 is its simple form?

Answers

Even numbers can’t be simplified

Help please i have no idea how to do this please help

Answers

Answer:

pretty sure its d

Step-by-step explanation:

The amount Cami raised during last year’s charity walk, $45.50, is StartFraction 7 over 10 EndFraction of the amount she raised this year. Which equation represents n, the number of dollars she raised this year?
45.50 (StartFraction 7 over 10 EndFraction) = n
45.50 = 0.7 n
45.50 + n = StartFraction 7 over 10 EndFraction
45.50 = 0.7 + n

Answers

Answer:

45.50 (StartFraction 7 over 10 EndFraction) = n

Answer:

the correct answer on edge is B. 45.50=0.7n

Step-by-step explanation:

Shape p is translated to shape Q using vector (a b).
Write down the values of a and b.
Photo attached.

Answers

Answer:

the answer is:

a=-2

b=-4

Step-by-step explanation:

Shape P is translated to shape Q using vector [tex]\left[\begin{array}{ccc}2\\4\end{array}\right][/tex].

What is translation of a graph?

"A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other."

Given, the shape P is mentioned on the graph.

Now, shape P is translated to shape Q.

Therefore, in order to reach Q from P, the shape needs to shift to the left 2.

After that the shape needs to shift downwards 4 places.

Therefore, the required vector is [tex]\left[\begin{array}{ccc}2\\4\end{array}\right][/tex].

Learn more about translation of a graph here: https://brainly.com/question/14753556

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Isaiah is starting his own gardening business. Isaiah thinks he can charge $15.50 per hour. If he knows he
will only be able to work 140 hours per month (that's 35 hours per week), how much money will he earn
each month?

Answers

Answer:

About $1627.5

Step-by-step explanation:

15.50 x 35 = 542.5

542.5 x 3 (the amount of weeks in a month) = $1627.5

Escribevel numero decimal que corresponde alos puntos intermedios que indican las flechas

Answers

Answer:

cualeeeeeeeeeeeeeeeeeeeeees fffffleeeeeccccchhhhaaaasssss

Consider that AQRS is similar to ALMN and the measure of ZN is 42°. What is the measure of 2S?

A)
42°
B)
48°
56
D)
589

Answers

Answer:

A

Step-by-step explanation:

please help, thanks if you do :)

Answers

Answer: (4,-2)

Step-by-step explanation: step1.- -1/2x=-x+2 (solving for x) x=4

Step 2- y=-1/2x4(substitute the value of X)

Step 3- y=-1/2x4 (solve the equation for y) =2

Step 4- (x,y)=(4,-2) simplify —>(x,y)=(4,-2)

What is the area of this figure?

Enter your answer in the box.

mm²

Answers

Answer:

[tex]84mm^{2} [/tex]

I think this is true

Answer = 84

BECAUSE

 8x6/2 for triangles (24)

 x2 bc two triangles (48)

6x6 for square (36)

add it all = (84)

Write formula for the following mathematical statement.
The force acting on a body is equal to the product of the mass of the body and the acceleration produced by it

Answers

Answer:

F=ma

Step-by-step explanation:

F is force and its measured in Newtons (N)

m is mass measured in kg

a is acceleration measured in metres per second per second

what is the equivalent property of 8(4x - 3)

Answers

Answer:

=32x−24

Step-by-step explanation:

A dot plot is shown.

Answers

Answer:

C i think but I could be wrong

Step-by-step explanation:

how many solutions xoes the equation x+8=x+8​

Answers

Answer:

Infinity

Step-by-step explanation:

x+8 = x+8

-x .      -x

8 = 8 = always true  

5. If the cost of two tires is $130,56, how much will it cost to buy ten tires?
A. $1305.60
Tires
B. $652.80
C. $326.40
Cost

Answers

it would be A

Step-by-step explanation:

I'm good at math

The answer is B
Hope this helps

An isosceles triangle has base angles that each measure 69o. Which equation can be used to find x, the measure of the third angle?



a
138 + x = 180
b
69 + x = 180
c
138 + 2x = 180
d
2x + 69 = 180

Answers

Answer:

a. 138 + x = 180

Step-by-step explanation:

Because the angles given are 69+69

which equal 138

and x being the missing angle

finally the total of all angles in a triangle = 180

Lily charges $60 for 5 tutoring sessions. What is the cost PER session?

Answers

$60 divided by 5 = $12

$12 per session.

Pls mark me brainliest!

Answer:$12 per session

Step-by-step explanation: divide 60 by 5 you get 12.

Solve for the variable A:
-22a = 418

Answers

Answer:

A = -19

Step-by-step explanation:

Answer:
The answer is a=-19!!

Prove: An odd times an odd equals an odd.

Answers

Answer:

4mn+2m+2n+1

Step-by-step explanation:

Hope I helped!

Answer: 4mn+2n+1

2(2mn+m+2)+1

Step-by-step explanation:

Help with all 3 ASAP

Answers

For the first one the answer is yes

Answer:

The second one is right

The third one is wrong.

Instructions: Deconstruct the following conditional statement into its hypothesis and conclusion.
Conditional Statement: “If it’s raining, then there are clouds in the sky.”
Hypothesis:
Conclusion:

Answers

Hypothesis: the rain will have the sky cloudy and gray
Conclusión: it started to get cloudy therefore it started to rain

6y + 25 = 79
can you please help?

Answers

Answer:

y=9

Step-by-step explanation:

6y=79-25

= 6y= 54

= y=54/6

= y= 9

6y+25=79
Subtract 25 from both sides
6y=54
Divide both sides by 6
Y=9

y= 1/2x+ 2 to make the x the subject.

Answers

Answer:

[tex]x=2y-4[/tex]

Step-by-step explanation:

[tex]y=\frac{1}{2} x+2[/tex]

"To make x the subject" means to have the equation with all the terms in x on one side. As of now, y is the subject of the equation.

You start by subtracting 2 from both sides, you should get the following.

[tex]y-2=\frac{1}{2} x[/tex]

Then you multiply by 2 from both sides, you should end up with the following.

[tex]2(y-2)=x[/tex]

Therefore, you get the following.

[tex]x=2(y-2)[/tex]

Finally, you distribute and get the answer.

[tex]x=2y-4[/tex]

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