A right triangle has a 30° angle and the adjacent side to
the angle of length 6, draw the triangle and label all
sides and angles. Round to the nearest tenth.

A Right Triangle Has A 30 Angle And The Adjacent Side Tothe Angle Of Length 6, Draw The Triangle And

Answers

Answer 1

Answer

let the triangle be supposed ABC

where angle BAC is 30 degree and angle ACB is 60 degree and where we know that angle ABC is right angled triangle which means angle ABC = 90 degree

the base side of triangle is 6cm which means ;

By taking angle A as reference angle

Hypotenuse = AC = x(let)

perpendicular = BC

base = AB = 6 cm

    then by taking base and hypotenuse

b/h = AB/AC

or, cos (30 degree)= 6/ x

x =[tex]4\sqrt{x} 3[/tex] cm

that concluded that AC = [tex]4\sqrt{3}[/tex] cm

  Now,

by phythagorous theorem,

[tex]h^{2} = p^{2} + b^{2}[/tex]

[tex]AC =\sqrt{AB^{2} + BC^{2} } AC = \sqrt{6^{2} + 4\sqrt{3} ^{2}} \\AC = 2\sqrt{21 } cm[/tex]

 

so, the length of side AB is 6 cm , BC is 4[tex]\sqrt{3}[/tex] cm and AC is 2[tex]\sqrt{21}[/tex] cm

Step-by-step explanation:


Related Questions

solve for x round to your nearest tenth

Answers

Answer: Can’t see which place value to round to. So the answer is about 4.60147.

Explanation: SOH CAH TOA
Tan (41) = 4/x
Separate the X.
X = 4/Tan(41)
x= 4.6014...

A square underwent a dilation using a scale factor of 1:4. Find the missing side length, x, of the smaller square

Answers

Answer:

[tex]x= 3.5[/tex]

Step-by-step explanation:

Given

[tex]k =1:4[/tex] --- scale factor

See attachment for squares

Required

Find x

The corresponding side of length x on the bigger square is 14.

So, we have:

[tex]k = x : 14[/tex]

Equate both values of k

[tex]x : 14 = 1 : 4[/tex]

Express as fractions

[tex]\frac{x }{ 14 }= \frac{1 }{ 4}[/tex]

Solve for x

[tex]x= \frac{1 }{ 4} * 14[/tex]

[tex]x= \frac{14}{4}[/tex]

[tex]x= 3.5[/tex]

Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and bought 5 hotdogs and 6 bags of chips for $9.55 ordered 2 hotdogs and 3 bags of chips, then how much did she pay her order?

Answers

Answer:

Marcy paid $4.15

Step-by-step explanation:

Given

Represent hotdogs with x and chips with y.

So, we have:

Jamal

[tex]3x + 2y = 4.85[/tex]

Kenny

[tex]5x + 6y = 9.55[/tex]

See attachment for complete question

Required

Determine the amount for 2x and 3y

From Jamal's and Kenny's orders we have:

[tex]3x + 2y = 4.85[/tex] --- (1)

[tex]5x + 6y = 9.55[/tex] --- (2)

Multiply (1) by 3

[tex]3 * [3x + 2y = 4.85][/tex]

[tex]9x + 6y = 14.55[/tex] --- (3)

Subtract (2) and (3)

[tex]9x - 5x + 6y - 6y = 14.55 - 9.55[/tex]

[tex]9x - 5x = 5[/tex]

[tex]4x = 5[/tex]

Solve for x

[tex]x = \frac{5}{4}[/tex]

[tex]x = 1.25[/tex]

Substitute [tex]x = 1.25[/tex] in [tex]3x + 2y = 4.85[/tex]

[tex]3 * 1.25 + 2y = 4.85[/tex]

[tex]3.75 + 2y = 4.85[/tex]

Solve for y

[tex]y = \frac{4.85 - 3.75}{2}[/tex]

[tex]y = \frac{1.10}{2}[/tex]

[tex]y = 0.55[/tex]

So, the cost of 2x and 3y is:

[tex]Cost = 2x + 3y[/tex]

[tex]Cost = 2*1.25 + 3*0.55[/tex]

[tex]Cost = \$4.15[/tex]

Two angles are supplementary. The first angle is 3x degrees. The second angle is (2x + 25) degrees. Determine the measure of each angle.

Answers

Answer: a = 3x

b = 2x+25

180 = a + b

180 = 3x + 2x + 25

180 = 5x + 25

155 = 5x

x = 31

a = 3*31 = 93

b = 2*31 + 25 = 87

Step-by-step explanation: pls mark as branlyest

Write an equation in slope intercept form that represents the line shown?

Answers

Answer:

I think the answer would be Y=-2X+5

Hope it helps you *^*

5th grade math. correct answer will be marked brainliest

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

9×[tex]\frac{1}{3}[/tex]

9×1/1×3=

[tex]\frac{9}{3}[/tex]÷3=

3!!!!

Question in pic plz help! ~

Answers

Im gonna label the long side of a rectangle a and the smaller side b.

For the perimeter, 2a + 2b = 34

For the area, a x b = 66

if a is 11 and b is 6, the equation for perimeter would be 22 + 12 = 34.

So a = 11 and  b = 6

Answer:

Longer side = 11

Shorter side = 6

Step-by-step explanation:

L x W = 66,  then W = 66/L

2L + 2W = 34

substitute for W:

2L + 2(66/L) = 34

2L + 132/L = 34

multiply both sides of the equation by L:

2L² + 132 = 34L

divide both sides by 2:

L² + 66 = 17L

L² - 17L + 66 = 0

factor:

(L - 11)(L - 6) = 0

L = 11 or L = 6

if L = 11, then W = 6

if L = 6 then W = 11

There were two times as many pepperoni pizzas as cheese pizzas, plus one pizza they ordered 13 pizzas altogether how many pepperoni pizzas were there? How many cheese pizzas were there

Answers

Answer:

pepperoni pizzas = 8

cheese pizzas = 4

Step-by-step explanation:

let x = cheese pizza

2x + x + 1 = 13

3x = 13 -1

3x = 12

x = 4

pepperoni = 2x4 = 8

At 5 am, the temperature was -10°F. By noon the temperature was 7°F, What Integer
represents the change in temperature from 5 am, to noon?

Answers

Answer:

The integer that represents the change in temperature is 17.

Step-by-step explanation:

HELP ME UNSCRAMBLE THESE WORDS PLEASE!!! IGNORE THE SUBJECT I JUST DIDN'T KNOW WHAT TO PICK!! THANK YOU LOVELIES!!!

Answers

1) Play

2)Dribble

3)Paint

4)Center

5)Assists

6)Perimeter

7)Benchwarmer

8)Aboard

9)Technical

10)Rebound

11)Penalty

12)screen

13)Overtime

14)guard

15)? Host

16)Quarter

17) Bounce

18)Swish

19)Halftime

20)Backcourt

Which system of inequalities has this graph as its solution?
y 10
-10
- म
5
10
-10
OA. y < 21 - 3
y OB.y > 2 - 3
y> : +4
Ocy > 21 - 3
y < = + 4

Answers

Is this real math?!

The median of 8 numbers is 4.5.Given that seven of the numbers are 9,2,3,4,12,13,1 find the eighth number

Answers

Answer:

5

Step-by-step explanation:

Answer:  5

Step-by-step explanation:

We rerange the number in 1,2,3,4,9,12,13

The median is 4, and a number x between 4 and 9.

We have 4.5 for median, which is the average of 4 and x.

(4 + x) /2 = 4.5

4 + x = 9

x = 5

How many solutions does the system of linear equations have? Use the drop-down menus to explain your answer.

y = 3/4x + 12
y = 4/3x
The system of linear equations will have
Choose...
no solution
exactly one solution
infanite many solutions
because the slopes of the equations are
Choose...
the same
different
, so the lines will
Choose...
not intersect at all
intercect at one point
both be the same line

Answers

Answer:

There is one equation, the slopes are different so they will intersect at one point

Step-by-step explanation:

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

Answer:

A would be the answer I would choose

can somebody help me please

Answers

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = 4² + ([tex]\sqrt{5}[/tex] )² = 16 + 5 = 21 ( take the square root of both sides )

x = [tex]\sqrt{21}[/tex] → B

The simple interest on birr 400 invested for 4 months was birr 12, what is the annual (yearly) rate of interest?

Answers

Answer:

9%

Step-by-step explanation:

Given :

Principal, P = 400

Time, t = 4 months = 4/12 = 0.33333

Simple interest = 12

Simple interest = (principal * rate * time)

Rate = r

12 = (400 * r * 0.33333)

12 = 133.3333r

r = 12 / 133.3333

r = 0.090000

r = 0.09

rate = 0.09 * 100% = 9%

PLEASE HELP ME PUT THEM IN ORDER

Answers

Answer

picture below of order. Not entirely

Step-by-step explanation:

Help me please!!!!!!!!!!!

Answers

Answer:

A reflection over the y-axis.

28) (-5ưyA +9u) + (-5ư v4 - 8u + 8u²v2)+(-8u*v + 8uº4)=

Answers

Answer: good luck

Step-by-step explanation:

The area of the carpet is 48x^2y+16xy^2, if the width is 8xy inches, what is the length of the carpet?

Answers

Answer:

Step-by-step explanation:

(48x^2)(y) + (16x)(y^2).

This is addition, so the distributive property applies. [(48x^2)(y) + (16x)(y^2)]/8xy = (48x^2)(y)/8xy+(16x)(y^2)/8xy = 6x+2y.

Division rules are explained below.

I included the parentheses to emphasize the difference between x^2y, which means x to the 2y, and (x^2)(y), which is x^2 times y.

48/8 = 6x^2 times y divided by 8xy equals x because x^2/x = x^(2-1), because x=x^1,  and so, equals x; The same y^2/y. The other 2 y's and 2 x's cancel.

TELL ME IF THIS IS CONFUSING<,BECAUSE I DON'T THINK I EXPLAINED VERY WELL.

En san pedro de atacama, un dia de septiembre a las 7a.M., la temperatura fue de 6°c, la que fue aumentando 2,3°c en promedio por hora hasta que alcanzo su maxima de 30,15 °c ¿ a que hora alcanzo su temperatura maxima

Answers

Answer:

5:30 p.m.

Step-by-step explanation:

30.15 - 6 = 24.15

24.15 / 2.3 = 10.5 hrs

7 + 10.5 = 17.5 = 5:30 p.m.

What’s the opposite of -5/8

Answers

The opposite of -5/8 is 5/8.
It’s 5/8, |-5/8| = 5/8

HELP PLEASE

Marcus works at the grocery store. He earns 8.75 per hour. Last week he worked 6.5 hours. How much did Marcus make last week?

Answers

20 dollars bev b h h b g v v v v.

Can someone please help me with math

Answers

Answer:

A

Step-by-step explanation:

Hello There!

This is the formula for volume of a cylinder

[tex]V=\pi r^2h[/tex]

where r = radius and h = height

we are given the height and diameter height - 10 ft diameter - 22 ft

we are not give the radius directly but we can easily convert the diameter to the radius by dividing by 2

22/2=11 so the radius is 11

now having found the radius and height we plug in the values into the formula (note: it says leave answer in terms of pi so we will not apply pi to the final answer.)

[tex]V=\pi 11^210\\11^2=121\\121*10=1210\\V=1210\pi[/tex]

so we can conclude that the answer is A

it’s 82 :))))))))))))))))

can someone tell me the answer to this

Answers

Answer: W=12m

Step-by-step explanation:

Can someone pls help me ASAP I’ll give brainiest


Also show how u got the answer step by step pls

Answers

3^x+1=3^3
X+1=3
X=3-1
X=2

Translate the phrase into an inequality:
Seven plus a number x is at most twenty

Answers

At most means less than or equal to:

7 + x ≤ 20

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Answers

Answer: n=4

Step-by-step explanation:

Given

3n-(2+n)=6

Expand Parenthesis (REMEMBER TO CHANGE SIGNS)

3n-2-n=6

Combine like terms

2n-2=6

Add 2 on both sides

2n-2+2=6+2

2n=8

Divide both sides by 2

2n/2=8/2

n=4

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4

Step-by-step explanation:

4 Is the Answer because you have to multiply 4 to all the N's. Which means you have to multiply 4 by 3 which equals 12. Then 2+4=6. Then you would do 12-6=6. There's your answer. Here is the equation if it were like the problem: 12 - (2+4). I'm sure you can figure out the rest. Thanks. If you find any fault in my answer let me know! Have a good day!

-4(z + 3) - 4(5 - 4z) solution

Answers

Answer:

12z-32

Step-by-step explanation:

-4z-12-20+16z

Can somebody help me

Answers

Answer:

25

Step-by-step explanation:

If it has 25 miles across from the 1 hour it means that it goes 25 miles per hour.

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