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insens350 [35]
3 years ago
10

The width of a rectangle measures 9.7 X -4.7 centimetersAnd the length measures 2.9 X +6.4 cm which expression represents the pe

rimeter in centimeters of the rectangle
Mathematics
1 answer:
Ymorist [56]3 years ago
6 0

Answer:

25.2X + 3.4 centimeters.

Step-by-step explanation:

The formula for the perimeter of a rectangle

= 2L + 2W

= 2(L + W)

From the question:

Width of a rectangle (W) = 9.7 X - 4.7 centimeters

Length of a rectangle (L) = 2.9 X + 6.4 centimeters

Imputing it into the formula

2(L + W)

2( 9.7X - 4.7 + 2.9X + 6.4)

2 (9.7X + 2.9X - 4.7 + 6.4)

2( 12.6X + 1.7)

= 25.2X + 3.4 centimeters.

Therefore, the perimeter of the rectangle = 25.2X + 3.4 centimeters.

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The diagram below shows a pennant in the shape of an isosceles triangle. The equal sides each measure 13. The altitude is x + 7
Kisachek [45]

Answer: The length of the base is 10.

Step-by-step explanation:

You can draw an isosceles triangle like the one shown attached.

An isosceles triangle has two equal sides. Then, you can divide it into two right triangles, where the base of each one of them will be:

b'=\frac{2x}{2}=x

The hypotenuse of each right triangle shown is 13 and the other legs are (x+7) and x, therefore you can apply the Pythagorean Theorem:

13^2=x^2+(x+7)^2

Simplify the expression:

169=x^2+(x^{2}+2(x)(7)+7^2)\\169=x^{2}+x^{2}+14x+49\\0=2x^{2}+14x-120

Use the quadratic formula, where:

a=2\\b=14\\c=-120

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

Then:

x=\frac{-14\±\sqrt{14^2-4(2)(-120)}}{2+2}

x_1=5\\x_2=-12

Choose the positive value, because lengths are not negative.

Substitute the value of x into the base 2x. Therefore, the answer is:

b=2x=2(5)=10

7 0
3 years ago
a ballroom is being set up for a banquet in one room there are 7 tables and 56 chairs how many tables should be set up for 40 ch
Jobisdone [24]

Answer:

points

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the solution of the inequality -3n < 81
posledela

Answer:

n<-27

Step-by-step explanation:

you have to get n by itself, to do this divide -3 from both sides of the equations.

-3n/-3<81/-3

n<-27

the answer is n<-27

8 0
3 years ago
I just need help on this since i don't really understand hope anyone is willing to help or not
Troyanec [42]

Step-by-step explanation:

total = ¼(sale $ + marathon $)

253.75 = 1/4(184.6 + m)

1,015 = 184.6 + m

m = $830.40

4 0
3 years ago
Lee is comparing brands of juice. Brand A
maxonik [38]
<h3>Answer: 3 bottles of brand A</h3>

Explanation:

The pricing/cost information is not used in this problem. All we care about is the number of bottles, and how much each bottle can hold.

Brand A bottles hold 0.95 liters each. We bought 3 of these bottles, so 3*0.95 = 2.85 liters in total are purchased.

Brand B bottles hold 0.55 liters each. Buying 5 of them leads to 5*0.55 = 2.75 liters in total.

Going with the brand A option leads to more juice by 0.10 liters (subtract 2.85 and 2.75)

6 0
3 years ago
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