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Anna71 [15]
2 years ago
8

The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown.Wha

t is the smallest possible perimeter of the triangle, rounded to the nearest hundredth?
Mathematics
1 answer:
Art [367]2 years ago
6 0
Let "x" be the  longest side and "y" be each of <span>remaining sides
If the triangle is </span>аcute<span> then:

</span>y² + y² > x² <span>
2y</span>² > 30²
2y² > 900
y² > 450
<span>y > </span>√450
y > 21.21 ← <span>to the nearest hundredth
</span>
This means the length of each of the remaining sides is not less than 21.22 in  (to the nearest hundredth), so <span>the smallest possible perimeter of the triangle =
30 + 21.22 + 21.22 = 72.44 in.

</span><span>
</span>
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. Dillion deposits $150 into his account. One week later, he withdraws $26. Write an addition expression to represent this situa
Lina20 [59]

Answer:

Expression = x + 150 +(- 26)

$124 higher

Step-by-step explanation:

Given

Deposit = \$150

Withdrawal = \$26

Required

Represent the situation

Determine how much higher or lower is the remaining amount

Let the initial amount in his account be represented with x

When he deposited, the balance becomes

Balance = x + 150

When he withdrew, the balance becomes

Balance = x + 150 + (-26)

Hence, the algebraic expression is

Expression = x + 150 +(- 26)

Calculating how much higher or lower

Balance = x + 150 + (-26)

Open bracket

Balance = x + 150 -26

Balance = x + 124

Recall that the initial amount in the account is x

The difference between the balance and the x is as follows

Difference = x + 124 - x

Difference = \$124

<em>Hence, the account has a higher of $124 after both transactions</em>

8 0
2 years ago
What is<br> -1 5/6 - (-3 1/4) ?
lions [1.4K]

Answer:

1\frac{5}{12}

Step-by-step explanation:

Eliminating a negative and changing our operation

1\frac{5}{6} +3\frac{1}{4}

Rewriting our equation with parts separated

-1-\frac{5}{6} +3+\frac{1}{4}

Solving the whole number parts

-1+3=2

Solving the fraction parts

-\frac{5}{6} +\frac{1}{4} =[?]

Find the LCD of 5/6 and 1/4 and rewrite to solve with the equivalent fractions.

LCD = 12

-\frac{10}{12} +\frac{3}{12}=-\frac{7}{12}

Combining the whole and fraction parts

2-\frac{7}{12} =1\frac{5}{12}

[RevyBreeze]

8 0
2 years ago
Please help! I’ll venmo/ cash app $3 if you help or get right
ra1l [238]
X = 105

The circle is 360, so add the two numbers that are already present there together,. The rest two side are the same, so use 2x, x for one side, so two for two side.

85 + 65 + 2x = 360
150 + 2x = 360
2x = 210
x = 105
5 0
3 years ago
Read 2 more answers
Help please asapppppppp
Schach [20]

Answer:

see below

Step-by-step explanation:

Order of operations is parenthesis, exponents, multiplication, division, addition, subtraction.

since there are no exponents in this problem the next step is -2(2.2)

Simplify the previous step and you get -4.4

final answer is -7.6 - 4.4 = -12

5 0
3 years ago
The weight of Darrin's phone is 3.405 ounces. What is 3.405 written in expanded form
Verizon [17]
Its 3.000+400+5 that's your answer
7 0
3 years ago
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