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padilas [110]
3 years ago
10

Jared is buying a carpet for a square room with sides that are s feet long. The carpet is $2.65 per square foot and the metal st

rip is $.20 per foot.
The metal strip holds down the carpet around the entire perimeter of the room, except at the doorway, which is 3 feet wide. Write an expression for the total length of the strip that Jared will need. Explain

Mathematics
1 answer:
attashe74 [19]3 years ago
5 0

Answer:

(4s-3)ft

Step-by-step explanation:

The 3 sides of the room will be "s" ft long. The 4th side, the one with the doorway will be "s-3" ft long, the -3 because of the doorway. Then you simply add all the sides of the doorway to get the length for the metal strip.

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The coordinates of quadrilateral ABCD plotted on a coordinate plane are A(0, 3), B(3,-1).
Vikki [24]

Answer:

24.56  (parallelogram)

Step-by-step explanation:

4 sides of ABCD: AB, BC, AD, DC

perimeter = AB + BC + AD + DC

distance of two points: √(x-x')²+(y-y')²

AB = √3²+4² = √25 = 5

BC = √7²+2² = √53 = 7.28

AD = √7²+2² = √53 = 7.28

DC = √3²+4² = √25 = 5

P = 5*2 + 7.28*2 = 24.56

3 0
3 years ago
The graph shows a probability distribution. What is P(1.5 ≤ X ≤ 3)? Enter your answer, as a decimal, in the box.
Bumek [7]
The probability from 1.5 ≤ x ≤ 3 can be calculated by dividing the Area from x=1.5 to x=3 by the total Area of the distribution. 

The given distribution is rectangular shaped, so its Area will be = Length x Width = 1 x 3 = 3 square units

From x = 1.5 to x = 3, the length is 1.5 and width is 1. So the area between these two intervals = 1.5 square units.

Thus, <span>P(1.5 ≤ X ≤ 3) = 1.5/3 = 0.5
</span>
5 0
3 years ago
WILL MARK BRAINLIEST!
Artist 52 [7]

Answer:

Following are the responses to the given points:

Step-by-step explanation:

Dilation implies the triangle \Delta XYZ stretched through the factor "2".  

m\angle Y = m\angle C = 90^{\circ} \leftarrow given \\\\  

right triangles:

\Delta  XYZ and \Delta  ACB \\\\\angle X \cong \angle A \leftarrow given\\\\

complementary angles:  

\angle X \ and\  \angle Z

m\angle Z = 90^{\circ} - m\angle X \\\\

complementary angles:

\angle A \ and\  \angle B

m\angle B = 90^{\circ} - m\angle A \\\\\therefore \\\\ \angle Z \cong \angle B \\\\\Delta  XYZ \sim  \Delta ACB \\\\

Same triangles: proportional side are corresponding, congruence angles are respective.

\sin \angle X = \frac{5}{5.59} \leftarrow given \\\\\sin\angle X = \frac{YZ}{XY} \\\\YZ = 5 (units) \rightarrow leg in \Delta XYZ \\\\XZ = 5.59 (units) \rightarrow hypotenuse \ in\  \Delta XYZ\\\\

Calculating the length of leg XY:

XY = \sqrt{((5.59)^2 - 52)} \cong 2.4996 (units)\\\\\frac{CB}{YZ} = 2 \leftarrow given \\\\CD = 2YZ = 2 \times 5 = 10 \ (units)\\\\\frac{AC}{XY} = 2 \leftarrow  \ given\\\\AC = 2XY \cong 2 \times  2.4996 \cong 4.999\  (units)\\\\

3 0
3 years ago
Given m||n, find the value of x.<br> +<br> (7x-7)°<br> m<br> (6x+11)°
KengaRu [80]

Answer:

x = 18

Step-by-step explanation:

(7x - 7) \degree = (6x + 11) \degree \\ (exterior \: alternate \:  \angle s) \\  \\ 7x - 7 = 6x + 11 \\  \\ 7x - 6x = 11 + 7 \\  \\ x = 18

5 0
3 years ago
Use an iterated integral to find the area of the region bounded by the graphs of the equations.
Goryan [66]

Answer:

use photomath and it will solve ur problem

5 0
3 years ago
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