if in a triangle ac= 15 and angle abc=60 degrees what is ab?

Answers

Answer 1

Answer:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property,  sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 unitsStep-by-step explanation:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property,  sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 units


Related Questions

A circular flower bed is 23 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π.

Answers

Answer:  244.92 m

Step-by-step explanation:

The area of a circle is pir^2. First you will need to find the area of the concrete and subtract the area of the flower bed from that amount. The concrete is 3 feet wide so you will add that to 11.5 (half of the flower bed diameter) to find the radius. 14.5^2 pi is the entirety of the area. Then subtract 11.5^2 pi for the area of the concrete.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
16, 12, 29

Answers

Answer:

The answer to this question should be acute

the question is in the image please help

Answers

Answer:

32 oz for $3.00

Step-by-step explanation:

1.25/12 = 0.10416666

1.65/16 = 0.103125

3/20 = 0.15

3/32 = 0.09375

Someone please help me out

Answers

Answer:

Im not so sure but I think the "b" point there is a right angle.

Step-by-step explanation:

I Hope that answered your question, If it did, please but me a brainliest because, that would be my first ever one!

Thank you!

-Brainly User

Help me please thanks

Answers

Given:

Triangle ABC and triangle DEF are similar triangles.

To find:

The proportion that can be used to find the length of segment DE.

Solution:

We know that the corresponding sides of similar triangles are proportional.

Triangle ABC and triangle DEF are similar triangles. So, their corresponding sides must be proportional.

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}[/tex]

[tex]\dfrac{4}{DE}=\dfrac{3}{9}[/tex]

[tex]\dfrac{4}{3}=\dfrac{DE}{9}[/tex]

Therefore, the correct option is A.

4(x + 7)^2 – 49 = -13 solve the following quadratic equation for all values of x in the simplest form

Answers

Answer:

4(x²+14x+49)-49+13=0

4x²+56x+196-49+13=0

4x²+56x+160=0

D=3136-2560=576

x1=-56+24/8=-4

x2=-56-24/16=-10

Write 11/75 as a decimal

Answers

Answer:

0.147

Step-by-step explanation:

This is rounded to the nearest thousandths place. 11 divided by 75 is 0.147.

Answer:

0.14666666 (or put the symbol for a repeating number on the first 6, that way you don't have to write all of the other sixes)

Hope this helps :)

HELP!!!!! Correct only!

Answers

Answer:811.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

(7.5ftx9ftx12ft)+[5(9ftx12ft)+2(1/2x5x√(4.5^2+1.5^2)ft)]

=810ft+[540ft+2(1/2x5x6.75)ft]

=810ft+(540ft+33.75ft)

=1383.75ft

(sorry I'm not too sure if it is correct )

0.4 repeating as a fraction for a mixed number

Answers

Answer:

Step-by-step explanation:

1.Rewrite the decimal number as a fraction with 1 in the denominator

2.Multiply to remove 1 decimal places. Here, you multiply top and bottom by 101 = 10

3.Find the Greatest Common Factor (GCF) of 4 and 10, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

so the answer is

0.4= 2/5

which figure is described below the locus of points in a plane equidistant between x=4 and x=6
A. 2 lines B. 2 planes C. 1 line D. 1 Plane

Answers

Answer:

The picture is black

Step-by-step explanation:

Dbddndnddnskskskssndjd

What is the answer X/7-3>8

Answers

Answer:

x > 77

Step-by-step explanation:

According to order of operations rules, we must carry out division before addition or subtraction.  In this case we wish to isolate x and are permitted to simplify the inequality by combining the "like terms" 3 and 8, as follows:

X/7-3>8

     +3 +3

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

x/7 > 11

The easiest way in which to solve for x is to multiply both sides of this inequality by 7:

7(x/7) > 7(11), or

x > 77

All numbers greater than 77 are part of the solution set.

mack used this model to find the quotient of 588 ÷ 14

what equation shows the final step in finding the quotient?​

Answers

Answer:B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Mark all of the transformations that will result in the object changing size.
A Dilation of a scale factor of 0.25
B Rotation of 180 degrees.
C Reection over the x-axis.
D Dilation of a scale factor of 3.
E Translation of 5 to the right and 3 up.
HELP PLEASE! WILL NE MUCH APPRECIATED❤

Answers

D,dilation of a scale factor of 3.
A,dilation of a scale factor of 0.25.

Eric was rock climbing. At one point, he stopped and climbed straight down 2 1/2 meters. Then he climbed straight up 6 3/4 meters. Eric was wondering what his change in elevation was after these two moves.Which of the following equations matches the situation above?

Choice a: 2 1/2-6 3/4=?

Choice b: -2 1/2+6 3/4=?

Choice c: none of the above
NEED NOW

Answers

Answer:

Choice b

Step-by-step explanation:

He starts by going down, so that is descending, and would be a negative number. Then he is climbing, so that’s a positive number.

If x = 15 units and h = 6 units, then what is the area of the triangle shown above?

Answers

Answer:

45

This is your answer.

Make A the subject of the formula r=√А/3​

Answers

Answer:a = 9 r^2

Step-by-step explanation:

We need to make a subject of the formula given r = square root a / 3

Given r = √a / 3 -------------1

Now we can find a.

Squaring the given equation 1 we get

So r^2 = (√a / 3)^2

So r^2 = a / 9

To three decimal places, find the value of the first positive x-intercept for the function f(x) = -2cos(x + 1). (6 points)

0.571

1.571

-1.081

-2.571


PLEASE HELP URGENT I AM TAKING IT NOW

Answers

I'm not 100% sure about this because this unit confused me but...

if you put it in your graphing calculator or in desmos, you can see that the first positive x -intercept (which is a point that is on the x-axis) is somewhere around one but it's not 1.571!! (other person is wrong!)

that point is (0.571, 0) so it's the first option

I need this question nowwwww


Answers

lmk when you find out pls

PLZ HELP ME GUYS PLZ​

Answers

Answer:

y=2x+3

x=(-1)

y=-5x+6

x=1

Step-by-step explanation:

Just find x in the equation

Help please emergency!!!
Brainiest
Find the slope and the y-intercept of the graph of y-1= 3x + 8.4.
The slope is
The y-
intercept is

Answers

Slope is 3
Y- intercept: (0,9.4)

The gym teacher uses 3/5of his kickballs in class. Half of the remaining balls are given to students for recess. What fraction of all the kickballs is given to students for recess?

Answers

if the gym teacher used 3/5 then the half ago the balls are given to students then it’s 1/3

7.4g of sugar is needed for every cake made. How much sugar is needed for 7 cakes?

Answers

Answer:

Sugar for 1 cake = 7.4 g

Sugar for 7 cakes = 7.4 × 7 = 51.8 g.

Find the area of quarter circle with the radius of 10

Answers

Answer: 78.5

Step-by-step explanation:

Formula: A=pi*r^2   or   Area = 3.14*radius squared (by two)

A = 3.14*10^2

A = 3.14*100

A = 314

Divide it by 4, because it's a quarter of the circle: A = 314/4

A = 78.5

Answer: 78.5

Your welcome :)

The base of an isosceles triangle is 18 meters and its height is 40 meters. Find the
length of one of the legs of the isosceles triangle.

Answers

Answer:

What do u mean by legs please can you explain it further

graph the line y=-1/4x-4

Answers

Answer:

Step-by-step explanation:

I need help I hate math whoever helps thx and nobody put a scam link that’s annoying I’m not falling for it.

Answers

Answer:

y≤46

it's the third one. hope it helps

Plz answer quick! Will give brainiest! <3 No bull answers

Which statement is NOT an accurate comparison of the two dot plots?
A) There is a gap from 7 to 11 for Class A and there is no gap for Class B.
B) Class A is clustered around two areas, while Class B is clustered around the center. C) Class A spreads from 4 to 14, while Class B is spread from 3 to 9.
D) The median for both dot plots is 6.

Answers

Answer:

D

Step-by-step explanation:

The statement which is not an accurate comparison of the two dot plots is stated as: Option D) The median for both dot plots is 6

What are clusters in data?

Clusters are groups in data. Each group is like clustered or grouped around some number, usually the mean of that cluster.

What is the spread of a data?

Spread, also called range of a data, tells the difference between the maximum and minimum value of that data, thus showing how much widely is it spread.

Thus, spread = maximum value - minimum value

For this case, we see that there are two clusters for class A and for class B there is only single cluster which is almost separated but not distinctly forming two clusters.

Class A spreads from minimum 4 to maximum 16, thus its spread is 16-4 = 12 units wide.

Class B spreads from minimum 3 to maximum 9, thus, its spread is 9-2 = 6 units wide.

Also, we can see that for class A, there is a gap from 7 to 11.

So all three options A, B and C are correct.

Now, let we find median.

Median is that value which is in mid of ordered (ascending or descending data set).

For class A, we have the data as:

4,4,4,4,4,5,5,5,6,6, 12,13,13,13,14,14
They are total 16 observations. The middle observation pair is 8th and 9th observation, which are 5 and 6

We can take any of the number between 5 and 6, so 5 < median < 6

That means median of class A's data is smaller than 6, thus, not being 6.

Thus, option D is incorrect and we don't need to find median of class B.

Thus, the statement which is not an accurate comparison of the two dot plots is stated as: Option D) The median for both dot plots is 6

Learn more about median here:

https://brainly.com/question/14315366

Miriarn's parents deposited $1000 in a savings account as a college fund when
she was born. How much money will Miriam have in this account after 18 years at
a yearly simple interest of 3.5%?

Answers

Answer:

$1630

Step-by-step explanation:

the interest one year

=$1000×3.5%

=$1000×3.5/100

=$35

the money that Miriam have after 18 years

=$1000+18($35)

=$1000+$630

=$1630

the temperature is 0 degrees the temperature decreases 1.5 each day what is the temperature 2 day from now

Answers

Answer:

temperature will remain 0° after 2 day

Paige started to make a rectangular prism using centimeter cubes, as shown below. When Paige completes the prism, the volume will be 60 cubic centimeters. What will be the height, in centimeters, of Paige's completed rectangular prism?

Answers

Answer:

The volume is 12.

Step-by-step explanation:

If you multiply l x w x h

4 x 3 x 1 = 12

l x w x h

Answer:

my guess is 5 cm

Step-by-step explanation:

im not really good at math but i think its 5 cm because 60 divided by 12 is 5

hope i helped some people :D

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