In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest
tenth.
2) c= 16, b=14​

Answers

Answer 1

Answer:

B = 61°

A = 29°

a = 10

Step-by-step explanation:

We are given;

c = 16, b = 14​

Since we are told that C is a right angle, it means that C = 90°

Thus using sine rule, we have;

c/sin C = b/sin B

16/sin 90 = 14/sin B

16/1 = 14/sin B

sin B = 14/16

sin B = 0.875

B = sin^(-1) 0.875

B ≈ 61°

Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.

Thus, from pythagoras theorem, If the other side of the triangle is a, then;

a² + b² = c²

a² + 14² = 16²

a² = 16² - 14²

a² = 256 - 156

a² = 100

a = √100

a = 10

Since we know B and C, we can find A because sum of angles in a triangle is 180°.

Thus;

A = 180 - (B + C)

A = 180 - (61 + 90)

A = 29°


Related Questions

Rick is facing east.He makes three-quarters of complete turn clockwise.Which direction is Rick now facing?

Answers

Answer:  directly north

=============================================

Explanation:

A one quarter turn is 1/4 of 360 degrees, so it's (1/4)*360 = 90 degrees.

Three quarters of a full turn is (3/4)*360 = 270, or you could triple the 90 to get 90*3 = 270.

Rick starts facing directly east. Then he rotates 270 degrees clockwise to end up facing directly north. Refer to the diagram below.

HELP pleaseee..!!!!!!!!!!!!!

Answers

Answer:

a) 9yd

b) 12ft

Step-by-step explanation:

a) find the square root

b) divide 48 by 4

Joe's lunch at a restaurant costs $13.00 without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tips, without tax?

Answers

Answer: $15.21

Step-by-step explanation:

Given

Joe's lunch cost $13.00 without tax

He tipped the waiter with 17% of bill without tax

So, the amount of tip is

[tex]\Rightarrow 13\times 17\%\\\Rightarrow 13\times 0.17\\\Rightarrow \$2.21[/tex]

Total amount that food costs without tax is

[tex]\Rightarrow 13+2.21\\\Rightarrow \$15.21[/tex]

What is the midpoint of AB

Answers

Answer:

(0,0)

Step-by-step explanation:

a(-1 , 2) &  B(1, -2)

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]

               [tex]= (\frac{-1 + 1}{2},\frac{2 - 2}{2})\\\\= (0,0)[/tex]

The base of a triangle is twice the height of the triangle.
The area of a triangle is 16 cm.
Draw the triangle on a centimetre grid.
(2 marks)

Answers

Answer:

4cm

Step-by-step explanation:

[tex]area = \frac{1}{2} \times base \times height \\ 16 {cm}^{2} = \frac{1}{2} \times 2x \times x \\ 16 {cm}^{2} = \frac{2 {x}^{2} }{2} \\ \\ 16 {cm}^{2} \times 2 = 2 {x}^{2} \\ 32 {cm}^{2} = 2 {x}^{2} \\ \frac{32 {cm}^{2} }{2} = {x}^{2} \\ 16 {cm}^{2} = {x}^{2} \\ \sqrt{16 {cm}^{2} } = \sqrt{ {x}^{2} } \\ 4cm = x \\ [/tex]

What is the value of x?

Answers

Answer:

29

Step-by-step explanation:

The right triangle is isosceles triangle so we have the left angle of it is:

180-64=116

116÷2=58

Then start to calculate the left triangle angles:

180-58 = 122

180-122 = 58

58÷2 = 29

Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If Sophie and Simon work together to peel the potatoes, how long will it take them?

A table showing Rate in part per minute, Time in minutes, and Part of Potatoes Peeled. The first row shows Simon and has StartFraction 1 Over 30 EndFraction, t, and t times StartFraction 1 Over 30 EndFraction. The second row shows Sophie, and has StartFraction 1 Over 45 EndFraction, t, and t times StartFraction 1 Over 45 EndFraction.

15 minutes
18 minutes
38 minutes
75 minutes

Answers

Answer:

the answer is 38 minutes

Answer:

18

Step-by-step explanation:

what is the area and the perimeter of this figure?
someone plzz helpp mee !
show full working outs
i only have 15mins to finish this assignment ​

Answers

Answer:

area=54

perimeter=30

Step-by-step explanation:

add all the sides=p

multiply 6 and 3 then 6 and 6 and add them together=a

Answer:

perimeter = a+b+c+d+e+f+g

= 6 +3+2+6+6+2+3= 28

area=first of all find the area one by one

area of the lying rectangle is.

a=l×b

but first let's add 3+3 =6

b=6

a=6×6

a=36

area of the standing rectangle

a=l×b

let's add 6+6=12 &2+2=4

a=l×b

a=12×4=48

then let's add both area together

36+48=84

therefore perimeter is 28 and area is 84

Step-by-step explanation:

why is double 6 is because the length are the same.

PLEASEEEEE HELP THANK UUU

Answers

Answer:

{-3,-1,0,2}

Step-by-step explanation:

The range is the output values

The y values are

-3,-1,0,2

I think the answer is b

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP



Answers

It is c cause it’s c c c c c c c c c

Answer:

Im not positive but its either c or d

Find the fraction of Chandler's comic book collection that is made
up of both Arachna-Man and Wonderdog comics. Explain how
you found
your answer.

Answers

im not sure what your asking

Can predictions be made of a scatterplot that shows no association? Explain your answer.

Answers

Answer:

There is no relationship between the variables.

There is no pattern between the variables.

No reliable predictions are possible.

Step-by-step explanation:

this is the exact answer on edge 2021

Answer:

No, because no association means there is no relationship between the variables. So there is no pattern that results in reliable predictions.

Step-by-step explanation:

its the sample response

write short note on the rules on how to bisect a line​

Answers

Answer:

here the answer is

If u want nore help please follow

Step-by-step explanation:

STEP 1: Draw a straight line with a ruler. STEP 2: Put the pin of a compass at the end of the line you want to bisect. Set the compass to more than half the length of the line, and draw an arc crossing the line. STEP 3: Keep the width of the compass the same, and from the opposite end of the line draw another arc.

Answer:

First, in your compass take more than half of the given line, i.e, if the line is 5 centimeters, then in the compass take a length more than five centimeters.

Second, Draw an arc, by keeping the compass needle on one end of the line, and do the same by keeping it on the other end.

Two of the arcs will intersect at a point.

Third, do the same, but in the back-ward direction, as in the below of the line. These two will also intersect.

Lastly, draw a line connecting the intersection of the top and below arcs.

I couldnt add the last pic because of the 5 attachments rule. Like I said in the last rule, just join the two arc intersections.

Thank You

Hope u understood

Jo had $5 more than Nate and together
they had $43. How much did Nate have?

Answers

Answer:

$14

Step-by-step explanation:

Let Joe have $x

Then Nate would have $(x-5)

They both have $(x + (x-5)  which is equal to $43

                           $(x + x -5) = $43

                           $2x - $5 = $43

                            $2x = $(43 - 5)

                           $2x = $38

Divide both sides by $2

                               x = 19 (Joe has $19)

:. Nate has $(19 - 5) = $14.

                             

Nate have 24 dollars.

What is equation?

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Suppose that Jo has x dollars of amount, and

Nate has y dollars of the amount

Given that Jo had $5 more than Nate and together they had $43

x + 5 = y  ,

x + y = 43,

Substitute the value of y in the equation x + y = 43,

x + 5 + x = 43

2x = 43 - 5

2x = 38

Divide both sides by 2

x = 19

Now substitute the value of y = 19 in the equation x = y +5,

So, y = 19 + 5

y = 24

Hence, Nate have 24 dollars.

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

Find the surface area.
1 m
10 m

Answers

Answer:

[tex]A=69.11\ m^2[/tex]

Step-by-step explanation:

Given that,

The radius of cylinder, r = 1m

Height of the cylinder, h = 10 m

We need to find the surface area of the cylinder. The total surface area of a cylinder is given by :

[tex]A=2\pi r^2+2\pi rh\\\\A=2\pi r(r+h)[/tex]

Put all the values,

[tex]A=2\pi \times 1(1+10)\\\\=69.11\ m^2[/tex]

So, the surface area of the cylinder is equal to [tex]69.11\ m^2[/tex].

Representa en notación científica 0.00000345

Answers

Answer:

3.45×10^-6

Step-by-step explanation:

Crea el decimal usando los últimos 3 números: 3.45

Multiplica por 10 a la negativa potencia del número de ceros: 10^-6

Find the value of "a" and please explain.

Answers

20 degrees

Explanation:
Due to geometric laws, the total degrees of the line should be 90 degrees. The one on the left side is 70 degrees, so 90-70 equals 20 :)

what is f(-2)?

please help

Answers

Answer:

f(-2) = 3

Step-by-step explanation:

Have a nice day!

and please tell me if I am wrong.

Answer: 3

Step-by-step explanation:

If you carefully look at the table, when f(x) is -2, x is 3

PLZ HELP DUE TODAY MARK BRAINLLEST AND GIVE 25 POINTS

Answers

Answer:

592 divided by 16=37

Answer:

592 divided by 16 is 37

3 boxes on top:

5 tens + 92 = 592

Step-by-step explanation:

:)

100 POINTS The vertices of a rectangle are (3, 7), (6, 7), (6, 1), and (3, 1). Find the perimeter of the rectangle. ​

Answers

Perimeter of the rectangle = 18 units

The expression
means 15 minus the product of 5 times the difference of p minus 6. If p = 8, then the value of the expression is

Answers

Answer:

5

Step-by-step explanation:

15-5(p-6)

15-5(8-6)

15-5(2)

15-10

5

Which option is correct?

Answers

Answer:

Radius : 3 inches

Height : 2 inches

Step-by-step explanation:

[tex]π \times (radius {)}^{2} \times (height)[/tex]

[tex]π \times {3}^{2} \times 2[/tex]

[tex]π \times 9 \times 2[/tex]

[tex]9 \times π \times 2[/tex]

[tex]18\pi[/tex]

Hope it is helpful...

ance
Use the graph to complete the statements.
The car gets
miles to the gallon.
After the car has traveled
miles, 2
gallons of gas have been consumed.

Answers

Answer:

Where’s the graph?

Step-by-step explanation:

Peng bought 19 stationary bikes for $748 each. How much did she soend on stationary bike? Write an expression with the solution

Answers

Answer:[tex]\$ 14,212[/tex]

Step-by-step explanation:

Given

Peng bought 19 stationary bikes for $748  each

The cost of 19 bikes is the multiplication of the cost of each bike times the total bikes

[tex]\Rightarrow \text{Cost= }19\times 748\\\\\Rightarrow \text{Cost= }\$ 14,212[/tex]

Thus, she spends [tex]\$ 14,212[/tex] on 19 bikes.



Measurement and Geometry
11. What would the total interior angles be for a 21 sided shape?

Answers

Answer:

sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°

Step-by-step explanation:

Answer: 3420 degrees

Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.

Anyone know how to do this?

Answers

Answer:  2 < x < 7

=======================================================

Explanation:

The 85 degree angle is smaller than the 90 degree angle (aka right angle). That must mean 5x-10 is smaller than 25

At the same time, 5x-10 must be larger than 0 to avoid having a 0 length or negative length.

So overall we can say 0 < 5x-10 < 25

-------------

Let's isolate x

0 < 5x-10 < 25

0+10 < 5x-10+10 < 25+10 ...... adding 10 to all sides

10 < 5x < 35

10/5 < 5x/5 < 35/5 .... dividing all sides by 5

2 < x < 7

This says that x is between 2 and 7, but we cannot have x equal either endpoint.

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Expand and simplify 4(2x-1)+3(2+5)

Answers

Answer:

8x + 17

Step-by-step explanation:

4(2x- 1) + 3(2 + 5)

=4*2x - 4*1 + 3*7

=8x - 4 +21

=8x + 17

PLEASE HELP. !!!!!!!!!

Answers

Answer:

(-1,8)

Step-by-step explanation:

use formula

A(x,y) = A'(-y , -x)

coordinate point is

(-8,1)=(-1,8)

therefore the image of the (-8,1) after a reflection over the line y=-x is (-1,8)

Answer:

A'(-1,8)

Step-by-step explanation:

Initial point A(-8,1)

reflection about y=-x has the rule

x, y -> (-y, -x)

So

A(-8,1) -> A'(-1,8)

a right triangle has legs of lengths 6 and 3, what is the length of the hypotenuse to the nearest tenth

Answers

Answer:

x = 6.7

Step-by-step explanation:

legs of a right triangle are 6,3 and hypotenuse be x

using pythagors theorem to find hypotenuse

a^2 + b^2 = c^2

6^2 + 3^3 = x^2

36 + 9 = x^2

45 = x^2

[tex]\sqrt{45} = x[/tex]

[tex]\sqrt{3*3*5} = x[/tex]

[tex]3\sqrt{5} = x[/tex]

6.70 =x

6.7 =x

You have three quarters, two dimes, and five pennies in your pocket. You choose two coins without
looking.
a. P(quarter then dime) with replacement
b. P(dime then dime) without replacing
c. is part a Independent or Dependent? Explain.
d. Is Part b Independent or Dependent? Explain.

Answers

It’s B because the quarter is big and you finna go for the big coin and then it’s the dime bc you not finna care
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