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3 years ago

the sides of a triangle have lengths s,s+4,and 3s, write a expression that represents the perimeter of the triangle

1 answer:

7 0

The perimeter of a shape is the distance around it, or all of the lengths of its sides added together. So the perimeter can be represented by s + (s + 4) + 3s.

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Solve for x 2x+3+5x=24 what is x?

Westkost [7]

Answer:

x=3

Step-by-step explanation:

$2x+3+5x=24\\7x+3=24\\7x=21\\x=3$

7 0

3 years ago

Which is an equivalent expression for (52 • 34)3?

Alexxandr [17]

Answer:

1518

Step-by-step explanation:

4 0

2 years ago

Find two numbers, if Their sum is −7 and their difference is 14

Mademuasel [1]

Let
a------------> first number
b------------> second number

we know that
a+b=-7--------> a=-7-b----------> equation 1
a-b=14--------> equation 2

I substitute 1 in 2

(-7-b)-b=14-------------> -7-b-b=14----------> -7-2b=14-------> 2b=-7-14
2b=-21---------> b=-10.5
a=-7-b-------> a=-7-(-10.5)-----> a=-7+10.5------> a=3.5

the answer is
the two numbers are
a=3.5
and
b=-10.5

6 0

4 years ago

Read 2 more answers

Jessica and Robert have two young children. They have $7,000 of qualified child care expenses and an AGI of $22,000 in 2019. Wha

Effectus [21]

Answer:

$1,860

Step-by-step explanation:

The 20%-35% from up to $6,000 of expenses paid for two or more Qualifying Persons. The percentage falls by 1% for every additional $2,000 of income until it reaches 20%.

22,000+7,000-6,000-15,000=8000/2000= 4%

35%-4%= 31%

31% × $6,000, the maximum qualified child care.

$1,860

6 0

3 years ago

How much further up the wall does the ladder in figure 2 reach than

ASHA 777 [7]

The ladder in figure 2 reaches 3.2 feet further up than the ladder in figure 1.

Step-by-step explanation:

Step 1:

In both the given figures, the ladder, the wall and the floor form a right-angled triangle. The floor is the adjacent side, the wall is the opposite side and the ladder is the hypotenuse.

According to the Pythagorean theorem,

$a^{2}+b^{2}=c^{2}$ , where c is the length of the hypotenuse while a and b are the lengths of the other two sides.

Step 2:

For the ladder in figure 1, assume the distance from the floor to the ladder's top is x feet. So a = x, b = 8 and c = 10 (hypotenuse).

$a^{2}+b^{2}=c^{2}$ , $x^{2}+8^{2}=10^{2}$ , $x^{2}=100-64=36, x=\sqrt{36}=6 \text { feet }$ .

So the distance between the floor and the ladder's top is 6 feet.

Step 3:

For the ladder in figure 2, assume the distance between the floor and the ladder's top is y feet. So a = y, b = 4 and c = 10 (hypotenuse).

$a^{2}+b^{2}=c^{2}$ , $y^{2}+4^{2}=10^{2}$ , $y^{2}=100-16=48, x=\sqrt{84}=9.1651 \text { feet }$ .

So the distance between the floor and the ladder's top is 9.1651 feet.

Step 4:

The difference in heights = The wall height in figure 2 - the wall height in figure 1.

The difference in heights = 9.1651 feet - 6 feet = 3.1651 feet.

Rounding this off to the nearest tenth of a foot, we get 3.2 feet.

4 0

3 years ago