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iren [92.7K]
2 years ago
15

Jean's bedroom is 14 feet by 10 feet. She has chosen a carpet which costs $31.65 per square yard. This includes installation. De

termine the cost to carpet her room.
Mathematics
1 answer:
chubhunter [2.5K]2 years ago
7 0

Answer:

$14771055

Step-by-step explanation:

14 times 10= 140ft

140ft in yards is 46.67 in yards

46.67 times 31.65 =14771055

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There are 56 m&ms in a bag. They are all red or blue with a ratio of 3:4. How many blue m&ms are there?
ser-zykov [4K]

Answer:

32

Step-by-step explanation:

3+4 = 7, 56/7 = 8, 8 * 4 = 32

5 0
3 years ago
Read 2 more answers
During a game, Dennis lost 50 points in the first round and then lost 75 more points in the second round. Write an addition expr
zysi [14]

Answer:

-125

Step-by-step explanation:

add 50 and 75 =125 make in negative

5 0
3 years ago
the owner of two hotels is ordering towels. he bought 11 hand towels and 22 bath towels for his hotel in Oxford, spending a tota
Blizzard [7]

Answer:

$4.25

Step-by-step explanation:

11+22+54+14=112

$220+$256= 476

476÷112=$4.25

5 0
3 years ago
Consider the following figure:
motikmotik

Answer:

angle <B = 76

Step-by-step explanation:

The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.

We can write the following equation with this information to find the value of angle <B

<B + 71 = 147 subtract 71 from both sides

<B = 76

5 0
2 years ago
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.
Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

  • AC = 2 x  XY
  • CB = 2 x  YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x  XY

CB = 2 x  YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º   - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A   - given

Then ∠X and ∠Z are  said to becomplementary angles

Since m∠Z = 90° - m∠X   -- given

Then ∠A and ∠B are said to be complementary angles

Since m∠B = 90° - m∠A  --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are  similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5  seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

Learn more about dilation from:

brainly.com/question/27517432

#SPJ1

7 0
2 years ago
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