In right ∆ABC with m∠B=30°, AC = 4.
Find AB, HB and Area of triangle ABC

Answers

Answer 1

Answer:

hb=4√3

Step-by-step explanation:

Answer 2

Answer:

AB = 8, HB = 6, Area of ∆ABC = 8[tex]\sqrt{3}[/tex], Perimeter of ∆ABC = 12 + 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

To find AB:

∆ABC is an 30,60,90∆

Using the theorem, you can find AB = 2AC = 2*4 = 8

AB = 8

To find HB:

You need to find AH to subtract from AB

Construct CH, a perpendicular bisector to side AB

From before you can put together that m∠CAB = 60°

∆ACH is an 30,60,90∆

Using this method again, AH = AC/2 = 4/2 = 2

Then you subtract AH from AB = 8-2 = 6

HB = 6

To find the area of ∆ABC:

You use the (base*height)/2 method

base = AB = 8

to find the height, CH, you need to use the Pytha Theorem

and get [tex]AH^{2}+CH^{2}=AC^{2}[/tex]

then substitute, and get [tex]2^{2} + CH^{2} = 4^{2}[/tex]

calculate and get CH = 2[tex]\sqrt{3}[/tex]

then the height = CH =  2[tex]\sqrt{3}[/tex]

solve the area and get

Area of ∆ABC = 8[tex]\sqrt{3}[/tex]

(optional perimeter)

to find perimeter of ∆ABC:

you add AC + CB + AB

you find CB by using opposite to 30°

CB = CH*2 = 2[tex]\sqrt{3}[/tex]*2 = 4[tex]\sqrt3}[/tex]

so AC + CB + AB = 4 + 4[tex]\sqrt3}[/tex] + 8

Perimeter of ∆ABC = 12 + 4[tex]\sqrt3}[/tex]

Hope this helps!!


Related Questions

ASAP Evaluate the expression: 20.16(0.375)

Answers

Answer:

7.56

Step-by-step explanation:

Just multiply

20.16 times 0.375

7.56

Answer:

Hii

The answer is 7.56.

Step-by-step explanation:

you multiply the value outside of the bracket with the value inside of the bracket.

A line passes through the points (8, 1) and (6, 7). What is the slope?



Answers

Answer:

-3

Step-by-step explanation:

7-1=6

6-8=-2

A line connects the points (8, 1) and (6, 7). The angle is -3.

What is meant by slope?The slope or slope of a line is a number in mathematics that describes both the direction and slope of a line. Gradients are frequently represented by the letter m.There is no clear reason why the letter m is used for gradients, but it was first used in English by O'Brien (1844), who wrote the equation for a straight line as "y = mx + b."He is also depicted in Tod Hunter's (1888) work, where he wrote "y = mx + c."The slope is calculated by dividing the difference between two (arbitrary) points on a line by the ratio of vertical and horizontal change.

Therefore,

Slope (m) = ΔY/ΔX

= 3/-1

= -3

The slope =  -3

θ = arctan(ΔY/ΔX) + 180°

=1 08.43494882292°

ΔX = 6 – 8 = -2

ΔY = 7 – 1 = 6

Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368

Equation of the line:

y = -3x + 25

When x = 0, y = 25

When y = 0, x = 8.3333333333333

Hence,  A line connects the points (8, 1) and (6, 7). The angle is -3.

To learn more about slope, refer to:

brainly.com/question/16949303

#SPJ2

Please help me I am confused

Answers

The answer is c...

y = mx + b is slope intercept form

This equation corresponds to that...

to be in slope intercept form:

y = mx + b is corresponded to y = 4x + 9

Answers c!!!!!!::::::::::)))))

1
2
3
4
5
7
9
10
Which graph shows the solution set for 2x+3 >-9?
8 -7
-2 -1 0 1 2

6 -5 -4 -3 -2 -1 0 1 2
-8 7 6 5 4 3 2
0
1 2
-8 -7 -6
-3 -2 -1 0
1
2.

Answers

Answer:

6 -5 -4 -3 -2 -1 0 1 2

Step-by-step explanation:

Of the 16 children at the park, 10 are riding bicycles and 6 are riding skateboards. Select the
statements for which the ratio is correct.
a. The ratio of bicycles to skateboards is 10 to 6
b. The ratio of skateboards to children is 3.8
c. The ratio of bicycles to children 6 to 16
d. The ratio of skateboards to children is 6 10
The ratio of bicycles to children is 5,8
The ratio of bicycles to skateboards is 5.3
e
f.
f

Answers

Answer:

Step-by-step explanation:

its a or e

Answer:

A

Step-by-step explanation:

A is bicycles to skateboards which is 10:6

Mrs. Ryan purchased 25,000 grams of clay for her art classes at school. If she has 100 students, how many grams of clay will each student get if it is divided equally?

25 grams
100 grams
250 grams
2,500 grams

Answers

250 grams. Have a nice day

Use the chart and graph to find the number of pairs of size 10 1/2 shoes the store orders for a total order of 175 pairs of shoes.

Answers

Answer

Ste2p-by-step explanation:

20 BECAUSE IM DOING THE SAME TEST 20 BECAUSE COUNT UP A COLUMN

help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️ 3) Scott is twice as old as Ben. Donna is 6 years older than Ben. The sum of their ages is 34. How old are Donna, Scott, and Ben?​

Answers

Answer:

S=2B

D=B%2B6

S%2BD%2BB=34

Substitute,

2B%2BB%2B6%2BB=34

 

4B%2B6=34

4B=28

B=7

Then,

S=2%287%29=14

D=7%2B6=13

Step-by-step explanation:

hope this helps

Answer:

donna is 13

scoot is 14

ben is 7

Step-by-step explanation:

2x+6=34 2x+6-6=34-6 2x=28[tex]\frac{2x}{2} =\frac{28}{2}[/tex]x=14

A chef at a restaurant uses 17 pounds of butter each day. About how many grams does the chef use each day?

Answers

answer

7711.07

Step-by-step explanation:

The chef uses 7,711.03 grams each day at a restaurant.

How to convert Pounds to Grams?

The methodology to convert Pounds to Grams is relatively simple. To convert Pounds to Grams, you must multiply the unit by 453.59.

For example, if you have to convert 5 Pounds to Grams, you need to multiply 5 by 453.59.

A chef at a restaurant uses 17 pounds of butter each day.

We have to determine the number of grams the chef uses each day.

Since 1 pound (lb) is equal to 453.59 grams (g).

So 17 pounds = 453.59 × 17 = 7,711.03 grams

Thus, the chef uses 7,711.03 grams each day.

To learn more about the unit conversion click here:

https://brainly.com/question/12792843

#SPJ2

Please help !! Which are pairs of vertical angles?


< AOC and





Answers

Answer: all of them

Step-by-step explanation:

#3 only timed test!!

Answers

Answer:

It's the second option

Step-by-step explanation:

When inputting each of those numbers given in the question into the equation, you get the numbers in the second option.

hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp

Answers

Answer:

B is the answer

Step-by-step explanation:

hey luv the answer is (d.) :)

What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?

Answers

Answer:

y=4x-10

Step-by-step explanation:

A dolphin was swimming 4 feet below sea level. The number line shows the
location of the dolphin. It then dove down 3 feet Describe how to use the
number line to find the new location of the dolphin

Answers

Answer:

-4+(-3)= -7. The dolphin is -7 feet below sea level

Step-by-step explanation:

Start at -4 on the number line. When you add a negative number to a negative number, you move left on the number line. Move 3 units to the left to land at -7. The dolphin is 7 feet below sea level.

helpppp it’s my friends birthday

Answers

-2(13/20)
there you go

Stands steakhouse has a server to cook ratio of 5 to to tell a number of servers and cooks are 42 how many servers the stands steakhouse employ

Answers

Answer:

Stands Steakhouse has 210 servers.

Step-by-step explanation:

5 servers to 1 cook.

5/1 = x/42

x = 5 * 42 = 210

24% of 72 is what number? (will mark brainliest for full explanation)

Answers

Answer:

300

Step-by-step explanation:

Answer:

17.28

Step-by-step explanation:

Multiply 72 by .24, .24 being 24% because it is 24 out of 100.

You are on a boat in the ocean, at point A. You locate a lighthouse at point D, beyond the line of sight of the marker at point C. You travel 90 feet west to point B and then 36 feet south to point C. You travel 100 feet more to arrive at point E, which is due east of the lighthouse. What is the distance from point E to the lighthouse?

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

Since, after making the diagram of this situation,

We get two triangles ABC and CED,

In which AB = 90 feet, BC = 36 feet and CE = 100 feet,

Now,

       ( Vertically opposite angles )

        ( Right angles )

By AA similarity postulate,

By the property of similar triangles,

Since, point D represents the lighthouse.

Hence, the distance from point E to the lighthouse = 250 feet

joyce only gets 5.5%commission on sales greater than $2000 per month. If she sold $2300, what commission did she earn? A. 82.21 B. 16.5 C. 144 D. zero​

Answers

Answer:

$16.50

Step-by-step explanation:

$300 x .055 = $16.50

28 is 7 times what number?
8 is 32 times what number?
4000 is 4 times what number?
Choose one part and explain how you know your answer is correct.

Answers

Answer:

1) 28 divided by 7 equals 4

2) 32 divided 8 equals 4

3) 4000 divided by 4 equals 1000

i hope these are right!

Answer:

4

1/4

1000

multiply it by the reciprocal of the 2nd number

Step-by-step explanation:

W-4y+z=0 for z (please show work)

Answers

Answer: z=-w+4y

Step-by-step explanation:

W-4y+z=0

Calculate product

w-4y+z+0

Move variables to the right

Todd and Kyle wrote down these numbers. Todd’s number is 78,452 Kyle’s number is 94,725 Which statement below is true about the values of the numbers? *

The value of the 2 in Todd’s number is 10 times larger than the value of the 2 in Kyle's number.

The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.

The value of the 4 in Kyle’s number is 10 times larger than the value of the 4 in Todd’s number.

The value of the 4 in Todd's number is 10 times larger than the value of the 4 in Kyle’s number.

Answers

Answer:

Your answer would be The third option or C

Step-by-step explanation:

Answer:

c) The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.

Step-by-step explanation:

math answer

Solve the inequality below
-8x + 4 > 20
Include x and number in answer

Answers

Answer:

x<-2

Step-by-step explanation:

You first subtract 4 from both sides. Then you divide both sides by -8 (note: when you multiply or divide by a negative the sign flips. Then you get your answer

Solve for w.

w−8=32


w = 4

w = 24

w = 40

w = 256

Answers

Answer:

w=40

Step-by-step explanation:

Let's solve your equation step-by-step.

w−8=32

Step 1: Add 8 to both sides.

w−8+8=32+8

w=40

.......W=40........ So C

It can travel 30 1/2 miles on 1 1/4 gallons of gas find the unit rate for miles per gallon for the car ?

Answers

24.4 is the answer 30.5/1.25= 24.4

ANSWER QUICKLY!!!11!!!1!1

what is 3/4 divided by one - sixths

Answers

4.5, or 9/2 or 4 1/2

is 0.75 repeating irrational or rational

Answers

Answer:

This is a rational decimal and is not a repeating decimal.

Step-by-step explanation:

Which is the last operation preformed when evaluating (8-2x)²+4 for x=3

A addition

B multiplication

C subtraction

D applying the exponent

Please hurry

Answers

Answer:   I think its c sorry if im whrong

what is difference between applied force and normal force?​

Answers

Answer:

An applied force is a force that is applied to an object by a person or another object. If a person is pushing a desk across the room, then there is an applied force acting upon the object. The normal force is the support force exerted upon an object that is in contact with another stable object.

Someone please help me with number 6 lve been stuck on it forever

Answers

Answer:

x = 10

Step-by-step explanation:

8x - 13 = 5x + 17 (DE = EF)

8x - 5x = 17 + 13

3x = 30

x = 10

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