# 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

C. 9.53 centimeters

Step-by-step explanation:

## 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

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) ...?

Step-by-step explanation:

Consider ΔABC with vertices such that P , Q , R are midpoints of sides BC , AC and AB .

We know that midpoint of line segment joining points is equal to

Midpoints P , Q , R :

We know that distance between points is given by

Length of AP :

AP =

Length of BQ :

BQ =

Length of CR :

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

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

### Three mathematicians are applying for a job. There are five hats, three white, two black. They’re lined up, and a hat is placed on each. The first person in line cannot see any hat; the second in line sees only the hat of the person in front of him; the third person sees only the hats of the two people in front of her. The first person to correctly figure out what color hat he has gets the job; you guess wrong and you are killed. Assume these are INTELLIGENT mathematicians, and that they will do the logically correct thing at each stage — if something can be deduced, they will figure it out. After a long pause,the first person, who cannot see any hats, says he knows the color of his hat. What is the color, and how does he know?

If the person at the back saw two black hats, he would immediately know that he wore a white hat. He does not, so the two front hats are either black and white, or both white. The second person would know this fact! If they saw a black hat in front of them, then they would know that their hat is white. Since they do not, the hat at the front must be white. The guy at the front realises all this, and knows that his hat is white.

ANSWERED AT 16/02/2020 - 05:28 PM

QUESTION POSTED AT 16/02/2020 - 05:28 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?

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

### A carpenter a 6-foot long board. he wants to cut the board in to pieces that are 4/5 foot long. what length of the original board will be left after the carpenter cuts all the pieces that are 4/5 foot long?

Well it's just simply subtracting 6 - 4/5, and the answer is 5 1/5

ANSWERED AT 16/02/2020 - 06:18 AM

QUESTION POSTED AT 16/02/2020 - 06:18 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

### Michael wants to find the length of the shadow of a tree. He measures the height of a fencepost and the length of the shadow it casts. The fencepost is 3.5 feet tall, and its shadow is 10.5 feet long. Next, Michael measures the height of the tree, and finds it is 6 feet tall. How long is the shadow of the tree?

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)

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
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

### A restaurant is open 24 hours a day the manager wants to divide the day into work shifts of equal length the shift should not overlap and all shift durations should be a whole number of hours describe the different ways this can be done

You could divide the day in to 4 shifts of 6 or 3 shifts of 8 also 2 shifts of 12

ANSWERED AT 16/02/2020 - 12:29 AM

QUESTION POSTED AT 16/02/2020 - 12:29 AM

### April is arranging place cards for a wedding reception on a table. The bride's family has 154 cards and the groom's family has 140 cards. She wants the arrangements for the two families to have the same number of cards in each row. What is the greatest number of cards that she can place in a row? A) 2 B) 14 C) 7 D) 22

154 total cards-140 cards= 14 cards per row

ANSWERED AT 16/02/2020 - 12:13 AM

QUESTION POSTED AT 16/02/2020 - 12:13 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

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:

Each line is 73 centimeters long

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

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

### A rectangle has a width of 4 inches and a length of 6 inches. A similar rectangle has a width of 12 inches. What is the length of the similar rectangle?

18 inches because 4x3=12 6x3=18

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

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