In ∆ABC, if a = 8.75 centimeters, c = 4.26 centimeters, and m B = 87°, what is the length of b to two decimal places? A. 8.92 centimeters B.9.41 centimeters C. 9.53 centimeters D. 13.01 centimeters E. 15.36 centimeters

QUESTION POSTED AT 18/01/2020 - 07:00 AM

Answered by admin AT 18/01/2020 - 07:00 AM

Answer:

C. 9.53 centimeters

Step-by-step explanation:

Post your answer

Related questions

True or false. The sine of an angle in a right triangle is equal to the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse. ...?

Answer:  The given statement is FALSE.

Step-by-step explanation:  We are given to check whether he following statement is true or false :

"The sine of an angle in a right triangle is equal to the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse. "

Let us consider the right-angled triangle ABC as shown in the attached figure below.

With respect to acute angle C, we can see that

perpendicular, p = AB

base, b = BC

and

hypotenuse, h = AC.

We know that

sine of an angle in a right-angled triangle is equal to the ratio of the perpendicular to the base.

So, we must have

\sin \angle C=\dfrac{p}{h}\\\\\\\Rightarrow \sin \angle C=\dfrac{AB}{AC}.

Since AB is the opposite side to angle C, not adjacent, therefore

sine of any angle in a right-angled triangle is the ratio of the length of the OPPOSITE SIDE to length of the hypotenuse.

Thus, the given statement is FALSE.

ANSWERED AT 16/02/2020 - 06:38 PM


QUESTION POSTED AT 16/02/2020 - 06:38 PM

A rectangular table is two times as long as it is wide. If the area is 50ft^2, find the length and the width of the table.

10ftx5ft .........................................................................................................................................................................................................................................................................................

ANSWERED AT 16/02/2020 - 06:32 PM


QUESTION POSTED AT 16/02/2020 - 06:32 PM

The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side. Find the lengths of the medians of the triangle with vertices at A=(0,0), B=(6,0), C=(4,4) ...?

Answer:

\sqrt{29} , \sqrt{20} , \sqrt{17}

Step-by-step explanation:

Consider ΔABC with vertices A\left ( 0,0 \right )\,,\,B\left ( 6,0 \right )\,,\,C\left ( 4,4 \right ) such that P , Q , R are midpoints of sides BC , AC and AB .

We know that midpoint of line segment joining points \left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is equal to \left ( \frac{x_1+x_2}{2}\,,\,\frac{y_1+y_2}{2} \right )

Midpoints P , Q , R :

P\left ( \frac{6+4}{2}\,,\,\frac{0+4}{2} \right )=P\left ( 5\,,\,2 \right )\\Q\left ( \frac{0+4}{2}\,,\,\frac{0+4}{2} \right )=Q\left ( 2\,,\,2 \right )\\R\left ( \frac{6+0}{2}\,,\,\frac{0+0}{2} \right )=R\left ( 3\,,\,0 \right )

We know that distance between points \left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is given by \sqrt{\left ( x_2-x_1 \right )^2+\left ( y_2-y_1 \right )^2}

Length of AP :

AP = \sqrt{\left ( 5-0 \right )^2+\left ( 2-0\right )^2}=\sqrt{25+4}=\sqrt{29}

Length of BQ :

BQ = \sqrt{\left (2-6 \right )^2+\left ( 2-0 \right )^2}=\sqrt{16+4}=\sqrt{20}

Length of CR :

\sqrt{\left (3-4\right )^2+\left ( 0-4 \right )^2}=\sqrt{1+16}=\sqrt{17}

ANSWERED AT 16/02/2020 - 05:32 PM


QUESTION POSTED AT 16/02/2020 - 05:32 PM

Use the given graph to estimate the value of each derivative. (Round all answers to one decimal place.) f'(0) f'(1) f'(2) f'(3) f'(4) f'(5)

F'(x) is the derivative of f(x). the y value of derivative is the same value as the slope of f(x) at whatever point your looking at so at x=1 the tangent line of f(x) will be horizontal (or zero) so f'(x)=0

ANSWERED AT 16/02/2020 - 04:35 PM


QUESTION POSTED AT 16/02/2020 - 04:35 PM

Steven cuts a 25-foot board into 2 pieces. One piece is 4 feet more than 2 times the length of the second piece. What is the length of the second, shorter, piece of the board?

Answer:

The length of the shorter piece of the board is 7 ft.

Step-by-step explanation:

Given,

The 25-foot board into 2 pieces.

Let x be the length of one piece,

So, the length of the other piece = ( 25 - x ) feet,

Now, according to the question,

25 - x = 2x + 4

-x - 2x = 4 - 25

-3x = - 21

x = 7

Hence, the length of two pieces are 7 feet and 18 feet,

In which 7 feet is the length of shorter piece.

ANSWERED AT 16/02/2020 - 04:02 PM


QUESTION POSTED AT 16/02/2020 - 04:02 PM

Casiday other places 40 stance on each of eight album pages how many scans does she place in all?

40×8=320 scans in all

ANSWERED AT 16/02/2020 - 07:03 AM


QUESTION POSTED AT 16/02/2020 - 07:03 AM

Find the image abc for a dilation with center (0,0) and given scale factor. A (0,4) B (0,0) C (-3,-1); scale factor 3

Is this math cause I'm tryna figure it out

ANSWERED AT 16/02/2020 - 06:57 AM


QUESTION POSTED AT 16/02/2020 - 06:57 AM

What is the volume of a cube that's length is 6 yards

I think the volume is 24

ANSWERED AT 16/02/2020 - 06:11 AM


QUESTION POSTED AT 16/02/2020 - 06:11 AM

How do you write 1/125 as a decimal

I think it is 0.008 as a decimal

ANSWERED AT 16/02/2020 - 05:11 AM


QUESTION POSTED AT 16/02/2020 - 05:11 AM

a lamp is 36 inches ABOUT how many centimeters tall is the lamp (one inch is about 2.5 centimeters)

The lamp is about 90 cm. to get this answer you take 36 and multiply it by 2.5.

ANSWERED AT 16/02/2020 - 05:11 AM


QUESTION POSTED AT 16/02/2020 - 05:11 AM

A regular postage stamp is approximately 2 centimeters wide and 3 centimeters tall. If there are 5 rows of 6 stamps on a sheet, what is the approximate area of the sheet?

Each stamp is 6 cms 
There are 30 stamps so 30 * 6 cms = 180 cms

ANSWERED AT 16/02/2020 - 02:16 AM


QUESTION POSTED AT 16/02/2020 - 02:16 AM

Convert the following from decimals to percents A.) 1.32 = B.) 0.01 C.) 0.12 D.) 0.28

All you do is multiply the decimal by 100.

A. 132%

B. 1%

C. 12%

D. 28%

ANSWERED AT 16/02/2020 - 02:15 AM


QUESTION POSTED AT 16/02/2020 - 02:15 AM

What is 2/100000 as a decimal

2/100000 as a decimal is 0.000002. Count the zeros of the denominator. The amount of zeros is 6, so we add 5 zeros and then add the 2 which gives us 6 digits. 

I hope this helps! :)

ANSWERED AT 16/02/2020 - 02:12 AM


QUESTION POSTED AT 16/02/2020 - 02:12 AM

To divide 572/ 2, Stanely estimated to place the first digit of the quotient. In which place is the first digit of the quotient?

You know Santa's not real right?

ANSWERED AT 16/02/2020 - 02:10 AM


QUESTION POSTED AT 16/02/2020 - 02:10 AM

The length of a rectangular poster is 2 times its width. if the perimeter is 24 inches, what is the area of the poster?

I think it is 48 I'm not positive

ANSWERED AT 16/02/2020 - 02:09 AM


QUESTION POSTED AT 16/02/2020 - 02:09 AM

If the radius of a circle is 5 centimeters, how long is the arc subtended by an angle measuring 60°?

The formula of getting the arc length is
arc length = angle * pi / 180 * r
arc length = 60 * pi / 180 * 5
arc length = 300 * pi / 180
arc length = 5pi / 3

The correct answer is letter A) 3/5π cm

ANSWERED AT 16/02/2020 - 02:07 AM


QUESTION POSTED AT 16/02/2020 - 02:07 AM

Carl runs around a track 1.17 min how long would it take him to run 1.5 laps at his rate? ( round to 2 places)

Answer:

Step-by-step explanation:

When you divide two fractions, is the quotient always smaller than the dividend?

ANSWERED AT 16/02/2020 - 12:43 AM


QUESTION POSTED AT 16/02/2020 - 12:43 AM

Three friends each have some ribbon. Carol has 42 inches of riribbon, Tino has 2.5 feet of ribbon, and Baxter has 1.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.

It should be 126in 10.5ft and 3.5 yards. First convert to inches then divide by 12 for feet then divide by 3 for yards.

ANSWERED AT 16/02/2020 - 12:42 AM


QUESTION POSTED AT 16/02/2020 - 12:42 AM

Use two 2-Column proofs to show that either diagonal of a rectangle will create two congruent triangles?Given: Rectangle ABCD Prove: ∆ABD≅∆CBD Given: Rectangle ABCD Prove: ∆ABC≅∆ADC

Given: Rectangle ABCD 
Prove: ∆ABD≅∆CBD 
Solution:
                      
            Statement                                       Reason 

  ABCD is a parallelogram          Rectangles are parallelograms since the                                                          definition of a parallelogram is a quadrilateral                                                    with two pairs of parallel sides.

Segment AD = Segment BC       The opposite sides of a parallelogram are     Segment AB = Segment CD       congruent. This is a theorem about the                                                              parallelograms.

∆ABD≅∆CBD                             SSS postulate: three sides of ΔABD is                                                           equal to the three sides of ∆CBD


Given: Rectangle ABCD 
Prove: ∆ABC≅∆ADC
Solution:
                      
            Statement                                       Reason 

    Angle A and Angle C                 Definition of a rectangle: A quadrilateral     
        are right angles                      with four right angles.

        Angle A = Angle C                 Since both are right angles, they are                                                                  congruent

Segment AB = Segment DC       The opposite sides of a parallelogram are     Segment AD = Segment BC       congruent. This is a theorem about the                                                              parallelograms.

            ∆ABC≅∆ADC                   SAS postulate: two sides and included                                                         angle of ΔABC is congruent to the two                                                         sides and included angle of ∆CBD

ANSWERED AT 16/02/2020 - 12:42 AM


QUESTION POSTED AT 16/02/2020 - 12:42 AM

What is 87 multiplied by 23

87 times 23 = 2001

hope this helps :)

ANSWERED AT 16/02/2020 - 12:39 AM


QUESTION POSTED AT 16/02/2020 - 12:39 AM

Lenny can bike a 100-meter path in 20 seconds. Gary can bike a 500-meter path in 100 seconds. Bruford can bike a 800-meter path in 160 seconds. Which athlete is the fastest? Round each speed to one decimal place.

The easiest way to do this is to find the littlest common factor in this case its 20 once u dived everything by 20 then dived the meter path by the seconds you will see they all equal 5 so it was a trick question there the same speed

ANSWERED AT 16/02/2020 - 12:38 AM


QUESTION POSTED AT 16/02/2020 - 12:38 AM

K is the midpoint of . if = 3x + 1 and , find the length of

3x + 1 = 1/3x + 9 Multiply through by 3 
9x + 3 = x + 27 Subtract x 
8x + 3 = 27 Subtract 3 
8x = 24 
x = 3 

AK = 3*3 + 1 = 10 

AB = 2*AK = 20

ANSWERED AT 16/02/2020 - 12:09 AM


QUESTION POSTED AT 16/02/2020 - 12:09 AM

PLEASE SOMEONE HELP ME PLEASE HELPPPPP!!!!! UNIT NAME: REAL NUMBERS AND THE COORDINATE PLANE Directions: Follow the directions to complete a posting for the CoolCrafts website explaining how to create a string of pennant flags. Your completed posting will be submitted as your portfolio assessment. Try It The best way to explain a process is to first follow the process yourself! Follow these instructions to design your own string of pennant flags. 1. Choose a room you would like to decorate. Measure its length or width. This measurement will be the length of your pennant string. 2. Choose a size of paper square to use. (Hint: Whole number side lengths will make the calculations easier.) 3. Cut the square in half along the diagonal to form two paper triangles (pennant flags). 4. Measure the length of the diagonal. Then use the Pythagorean Theorem to find its exact length. 5. You will attach each triangle to the string along its diagonal side, with no space between triangles. Divide the length of the string by the length of the diagonal to determine how many triangles you will need. © 2015 Connections Education LLC. All rights reserved. 2 Analyze It Use your pennant string design to analyze the process.  Why is your measurement of the diagonal's length different than the length you found using the Pythagorean Theorem?  Which special version of the Pythagorean Theorem can you use to find the length of any square's diagonal, d, using only the length of its side, s?  Why do you have to use estimation to find the number of triangles you need for the string? Explain It Use your design and analysis to write a website posting describing the process readers can use to make a string of pennant flags using any length string and any size square. Your posting should include the following:  step-by-step instructions  a formula that can be used to find the diagonal length of any paper square and a formula that can be used to find the total number of triangles needed  diagrams that make the instructions and formulas easier to understand  an explanation of why this craft project must involve estimation and your recommended level of precision that readers should use You may also wish to include a photograph of your string of pennant flags in your posting. Alternatively, you can include a drawing of your completed project.

What is the qusyionion 

ANSWERED AT 16/02/2020 - 12:07 AM


QUESTION POSTED AT 16/02/2020 - 12:07 AM

The perimeter of a square is 292 centimeters how long is each side

A square has 4 sides. They are all the same. So, I can use 'p' to represent the unknown perimeter:

4p = 292

 \frac{4p}{4} =  \frac{292}{4}

p = 73

Each line is 73 centimeters long

ANSWERED AT 15/02/2020 - 11:58 PM


QUESTION POSTED AT 15/02/2020 - 11:58 PM