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Triss [41]
3 years ago
5

The perimeter of an isosceles triangle is 15.6 m. Find the lengths of its sides, if: Chapter Reference a The base is 3 m smaller

than a leg
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0

We know that an isosceles triangle has 2 equal sides.

We can represent the equal sides with x, and the base with y:

2x + y = 15.6

Given states that y = x - 3, so:

2x + x - 3 = 15.6

3x = 18.6

x  = 6.2

y = 3.2

The sides are 6.2 m, and the base is 3.2 m.

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Virty [35]

When multiplying numbers, it doesn't matter which number is first or second.

The correct answer is: Commutative Property of Multiplication

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3 years ago
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A square has side length (x+5) units. What is it’s area
daser333 [38]

The area of square is x^{2}+10 x+25 square units

<h3><u>Solution:</u></h3>

Given that square has side length (x+5) units

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<em><u>The area of square is given as:</u></em>

\text {Area of square }=\mathrm{a}^{2}

Where "a" is the length of side

From question, length of each side "a" = x + 5 units

Substituting the value in above formula,

\text {Area of square }=(x+5)^{2}

{\text {Expanding }(x+5)^{2} \text { using the algebraic identity: }} \\\\ {(a+b)^{2}=a^{2}+2 a b+b^{2}}\end{array}

\begin{array}{l}{\text {Area of square }=x^{2}+2(x)(5)+5^{2}} \\\\ {\text {Area of square }=x^{2}+10 x+25}\end{array}

Thus the area of square is x^{2}+10 x+25 square units

7 0
3 years ago
Marisol is painting on a canvas that has an area of 180 square inches. The length of the painting is 11/4 times the width. What
Alona [7]
Notice the picture below, see the length "l"?

well \bf Area=l\times w\qquad &#10;\begin{cases}&#10;l=\frac{11}{4}w\\&#10;Area=180&#10;\end{cases}\\\\&#10;-----------------------------\\\\&#10;thus&#10;\\\\&#10;180=\cfrac{11}{4}w\times w

solve for "w", to find the width,

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3 0
3 years ago
Shaun has five coins in his pocket. If he empties the coins onto a table, what is the probability that all five coins will land
Anastasy [175]

Answer:

A. 1/32

Step-by-step explanation:

Ok, the probability for one of the coins to land on heads is 1/2 cause a coin have to sides and chance is 50% that it will land on either of its sides.

If you have 2 coins the probability will be 1/2 for the first coin to land on heads and 1/2 for the second one. The overall probability for 2 coins would be (1/2)*(1/2)=1/4. You could also see it is 1/4 because all of the possible combinations of 2 coins are 4 (HH, HT, TH, TT) and HH is one of four.

It's the same if you have 5 coins. The probability will be (1/2)*(1/2)*(1/2)*(1/2)*(1/2)=1/32 in other words HHHHH is one of 32 possible combinations of 5 coins.

5 0
3 years ago
It took Everly 55 minutes to run a 10-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minu
m_a_m_a [10]
55/6.21 = x/1....55 mins to 6.21 miles = x min to 1 mile
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x = 8.86 minutes
3 0
3 years ago
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