1. Given a right triangle the first angle is ten degrees more than three times the degree measure of the second angle and the third angle is the right angle. What is the angle measurement of the first angle? Doint)​

Answers

Answer 1

Answer:

The first angle is [tex]70^{o}[/tex].

Step-by-step explanation:

Let the measure of the second angle be represented by [tex]x^{o}[/tex].

Thus, the first angle = [tex](3x+10)^{o}[/tex]

Third angle = [tex]90^{o}[/tex]

Sum of angles in a triangle = [tex]180^{o}[/tex]

So that;

[tex]x^{o}[/tex] + [tex](3x+10)^{o}[/tex] + 90 = [tex]180^{o}[/tex]

[tex]x^{o}[/tex] + [tex]3x^{o}[/tex] + [tex]100^{o}[/tex] = [tex]180^{o}[/tex]

[tex]4x^{o}[/tex] = [tex]180^{o}[/tex] - [tex]100^{o}[/tex]

[tex]4x^{o}[/tex] = [tex]80^{o}[/tex]

divide both sides by 4 to have;

[tex]x^{o}[/tex] = [tex]20^{o}[/tex]

The first angle = [tex](3x+10)^{o}[/tex]

                        = ( 3 x 20 + 10)

                        = 60 + 10

                        = [tex]70^{o}[/tex]

Therefore, the first angle is [tex]70^{o}[/tex].


Related Questions

100 POINTS!! ASAP - Please SHOW WORK!!

Answers

Answer:

h = 435.779 m

Step-by-step explanation:

Step 1: Define variables

∅ = 5°

Hypotenuse (the road) = 5000 meters

We need to find height (or the vertical leg on the triangle) = h

Step 2: Use trig

sin∅ = opposite over hypotenuse

sin5° = h/5000

Step 3: Evaluate

5000sin5° = h

h = 435.779 m

Answer:

the increase of altitude is 435.8 m

Step-by-step explanation:

see attached

inclined road at 5°

after driving 5000 along the end road.

find:

increase of altitude (h)

let Ф = 5°

road = hypothenuse

using the formula Sin Ф = h ÷ hypothenuse

Sin(5) =      h      

              5000

h = Sin (5) x 5000

h = 435.8 m

therefore,

the increase of altitude is 435.8 m

Please help, I don't understand, please
-8+(-3)=

Answers

Answer: -11

Step-by-step explanation:

Answer:

the answer is -11

Step-by-step explanation:

= -8+ -3

= -11


What is 450,000,000 written in scientific
notation?

Answers

here is the scientific notation.

what is -9/12 + 4/12=

Answers

Answer:

I think it would be -0.416 but I'm not real sure so make sure before using my answer! :3 Have a great day!

Pls helpppp meeee‼️‼️‼️‼️‼️‼️‼️

Answers

I think 9,6 is right answer

Answer:

2 yards because 3 is divided by 6

at home any hours of service do repair service s cost the same which equation could you use to solve​

Answers

Answer:

how many hours times repair service

Step-by-step explanation:

20+52x81/5 is the algebra question

Answers

Answer:

The first person said it before I did :( Well, good luck with your studies! Hope you have a great day!

From: iOE

is 1 (b+6) equivalent to (b+6)

Answers

Answer:

Yes.

Step-by-step explanation:

Step 1: Write out expressions

1(b + 6) = b + 6

Step 2: Distribute 1

b + 6 = b + 6

Arian is making bracelets. For each bracelet, it takes 1/10 of hour to pick out materials and 1/4 hour to braid it together. How many bracelets can Arian make in 5 hours?



I know this is easy math but I couldn't understand a thing my math teacher was talking about when we learned this.​

Answers

Change everything into 10ths as follows:

1/10 + 2.5/10 = 3.5/10 of an hour to make one bracelet. Then change to 20ths so the numerator is a whole number.
Divide your time available by the time it takes to make one.

21
4 = 420= 15 bracelets
7 28
20

(as a whole number there was no fraction or remainder to round off)

In 5 hours Arian can make 14 Bracelets.

What is unitary method ?

Unitary method is first obtaining the value of a single unit and then deriving any given unit given.

According to the given question Arian is making bracelets.

It takes 1/10 of hour to pick out materials and 1/4 hour to braid it together.

∴ To completely make a bracelet it will take ( 1/10 + 1/4 ) hours which is

= 7/20 hours OR (7/20)×60 minutes = 21 minutes.

5 hours is = 5×60 = 300 minutes.

So, in 21 minutes he makes 1 bracelet.

In 300 minutes he can make  (300/21) Bracelets which is

= 14.28 Bracelets.

learn more unitary method here :

https://brainly.com/question/21648365

#SPJ2

I need help on 13&14

Answers

Answer:

[tex](\sqrt{3} + 6i)(\sqrt{3} - 6i)[/tex]

Simplifies to:

[tex]36i^2 + 3[/tex]

[tex]= 39[/tex]

Point Q (-2, -2) is translated according to this rule (x - 3, y + 4). Which directions will Point Q be translated?

Answers

Answer:

it would be translated up.

Step-by-step explanation:

(-2,-2)    (x-3, y+4)

-2-3= -5    -2+4= 2

      (-5,2)

13. In a park there are 1596 trees in 42 rows. If each row has the same number of trees, estimate the number of trees in one row, rounded off to the nearest tens.​

Answers

Answer:

The ultimate answer according to the question is is 40 trees in one row.

Step-by-step explanation:

Let no. of trees in one row be X.

There are 42 rows,

or, 42X= 1596

or, X= 1596/42

So, X=38

Now, while rounding off to the nearest ten 38 goes to 40.

Evaluate v(x) = 14 – 3x when x = -3,0, and 4.

Answers

Answer: 23 , 14 , 2

Step-by-step explanation:

V(-3)=14-3(-3)

=14+9

=23

V(0)=14-3(0)

=14-0

=14

V(4)=14-3(4)

=14-12

=2

I hope this helps

can ratios be thought of as fractions?

Answers

Yes
We can
Hence it’s true!
Totally it could be proper or improper fractions to

What is the equation to the expression -2-3(-4)?​

Answers

Answer:

c) -1

Step-by-step explanation:

-2-3-(-4)

=-5+4

=-1

2x +y when x= 3, y=1.

Answers

Answer:

I needed help on that question too

i guessing 7 because 2(3)+1. 6+1=7

What does it mean for a function to have a root?

Answers

Answer:

Step-by-step explanation:

A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .

Answer:

A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .

I need to change the subject to x

Answers

Answer:

h) (x+4t²)/4= 3V

x+4t²= 4*3V

x+4t²=12V

x=12V-4t²

MN=√(3x-2)

(MN)²=3x-2

3x-2=(MN)²

3x=(MN)²+2

x= [(MN)²+2]/3

Write the ratio in simplest form for area of pool/ area of yard

Answers

Answer:

Option (C)

Step-by-step explanation:

From the map attached,

Area of the rectangular yard = length × width

Length of the yard = 10 units

Width of the yard = 8 units

Area = 10 × 8

        = 80 square yards

Since, pool is a composite figure of two rectangles,

Therefore, area of the pool = Area of large segment + Area of the small pool

= (5 × 6) + (3 × 3)

= 30 + 9

= 39 square units

Ratio of Area of the pool and area of yard = [tex]\frac{39}{80}[/tex]

Therefore, Option (C) will be the answer.  

3
Simplify the following expression.
99 + 5 [15 – (17 - 6)]
O A.
229
ОВ.
119
OC.
163
Reset
Submit
2 of 10 Answere

Answers

Answer:

416 is your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

119

Step-by-step explanation:

Following the order of operations as stated in PEMDAS

Given

99 + 5 [ 15 - (17 - 6) ] ← evaluate parenthesis

= 99 + 5 (15 - 11)

= 99 + 5( 4) ← evaluate multiplication

= 99 + 20 ← evaluate addition

= 119

The sales tax on a used car priced at $4600 is $409.40. What is the sales tax rate?

Answers

Answer:

8.9%

Step-by-step explanation:

sales tax rate (in percentage) = 409.40÷4600*100=8.9%

Pls help... asappp pls.

Answers

85%
Explanation: if she does 20 each glass is worth 5% (because 100/20=5) if she broke 3, that’s 15% off, so that means her success rate is 85%

Identify the lateral area and surface area of a right cone with a radius of 7 cm and a slant height of 15 cm. PLEASE HELP!!! A)L = 329.9 cm2 ; S = 373.9 cm2 B)L = 329.9 cm2 ; S = 483.8 cm2 C)L = 659.7 cm2 ; S = 483.8 cm2 D)L = 659.7 cm2 ; S = 813.6 cm2

Answers

Answer:

Step-by-step explanation:

a.  

L

=

329.9

c

m

2

;

S

=

373.9

c

m

2

.

b.  

L

=

659.7

c

m

2

;

S

=

483.8

c

m

2

.

c.  

L

=

659.7

c

m

2

;

S

=

813.6

c

m

2

.

d.  

L

=

329.9

c

m

2

;

S

=

483.8

c

m

2

.

Surface Area of a Cone:

In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

The radius of the cone is the same as the radius of the base.

Surface area of a cone

(a) Lateral Surface Area

If  

l

and  

r

are the slant height and radius of a cone then its lateral surface area is given by the formula-

L

=

π

r

l

where  

L

is the lateral surface area of the cone

(b) Total surface area

It is the sum of the area of the circular base and the lateral surface area of the cone.

S

=

L

+

π

r

2

S

=

π

r

l

+

π

r

2

Where  

S

is the total surface area of the cone

Answer and Explanation:

Given that the radius and slant height of a right cone is  

7

c

m

and  

15

c

m

respectively

r

=

7

c

m

l

=

15

c

m

So the lateral surface area of the cone-

L

=

π

r

l

L

=

π

(

7

)

(

15

)

L

=

105

π

L

=

105

(

3.14159

)

L

=

329.866

L

329.9

c

m

2

And the total surface area of the cone-

S

=

L

+

π

r

2

S

=

329.9

+

π

(

7

)

2

S

=

329.9

+

49

(

3.14159

)

S

=

329.9

+

153.937

S

=

483.83

c

m

2

So the lateral area and total area of a right cone are  

329.9

c

m

2

and  

483.8

c

m

2

respectively.

sound travels 1129 feet per second air. how far can sound travel in 2 seconds when traveling through hair

Answers

Answer:

Sound travels 2258 feet in 2 seconds while travelling through air.

Step-by-step explanation:

Sound travels 2,258 feet per 2 second. or .428 miles
or 27.097 inches
or 752.6667 yards

You are working to earn enough money for a vacation which costs 1200.0 dollars. Your take-home pay is $16.50/hour, but you only work 4-hour shifts each day. How many days will it take for you to earn enough money to pay for your vacation if all the money you earn goes towards your vacation

Answers

Answer:

It will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.

Step-by-step explanation:

From the question,

The total cost of the vacation is 1200.0 dollars, that is $1200.0

Also, you earn $16.50/hour but you only work for 4 hours each day.

First, we will determine how much you earn in a day.

If you work for 4 hours each day and earn $16.50 / hour; then the amount you earn in a day is

$16.50/hour × 4 hour

= $66.00

Hence, you earn $66.00 dollars each day.

Now, to determine the number of days it will take for you to earn enough money to pay for your vacation, that will be

The cost of the vacation divided by the amount earned each day

Cost of the vacation = $1200.0

Amount earned each day = $ 66.00

Hence, the number of days it will take for you to earn enough money to pay for your vacation is

$1200.0 / $66.00

= [tex]18\frac{2}{11} days[/tex] or 18.18 days

Hence, it will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.

how many cookies can be made with 12 eggs ​

Answers

Answer:

It varies depending on the measurements of the other ingredients that are being used.

Step-by-step explanation:

To enhance Jamie’s explanation, describe both sections of the piecewise function using linear equations. Include any limits to the domain. HELP ASAP

Answers

Answer:

Sugar

Step-by-step explanation:

Who can get it right?
I had £3.00.
My Mom gave me £10.00.
My Dad Gave me £30.00.
My Aunt & Uncle gave me £100.00.
I had another £7.00.
How much did I have?
Right answer will get deleted.
I won against Laura leadbetter​

Answers

the answer is 150 dollars

Step-by-step explanation:

I know this because you add

We want to perform a sum of various values. We will find that the total amount of money that you have is £150.00

We know that:

You initially have £3.00.Your Mom gives you £10.00.Your Dad gives you £30.00.Your Aunt & Uncle given you £100.00.You had another £7.00.

So the total amount of money that you have is the sum of all these values, we will get:

£3.00 + £10.00 + £30.00 + £100.00 + £7.00 = £150.00

Then the total amount that  you have is: £150.00

If you want to learn more, you can read:

https://brainly.com/question/19245500


can someone help quickly

Answers

Answer:

your answer would be 9

a=9

Step-by-step explanation:

At a grocery store Daniel wants to buy 3 1/5 of ham. What decimal will be shown on a digital scale show? Write 3 1/5 as a fraction and then divide.

Answers

Answer:

3.2

Step-by-step explanation:

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