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Alex73 [517]
3 years ago
13

Help me complete this

Mathematics
1 answer:
frutty [35]3 years ago
3 0

Answer:

x = 9.9 in.

Step-by-step explanation:

area of triangle = base * height /2

49 = x*x /2

49*2 = x^2

98 = x^2

\sqrt{98} = x

7\sqrt{2} = x

9.9 = x

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An alloy is composed of nickel, zinc, and copper in a5:4:8 ratio. How many kilograms of each metal are needed to make 3.4 kg of
lorasvet [3.4K]
5x+4x+8x=3.4
17x=3.4
x=0.2
Nickel 1 kg
Zinc 0.8 kg
Copper 1.6 kg
4 0
3 years ago
Read 2 more answers
Given the two expressions shown below:
kobusy [5.1K]
<h2>Answer: A. Both are rational.</h2>

Step-by-step explanation:

Although both expressions have square roots, the result of each square root is an integer, which can be expressed as a fraction.

In this sense:

Rational numbers are all numbers that can be represented as the quotient (division) of two integer numbers. This means they can be represented as a fraction in which the denominator is nonzero.

If we solve both expressions, we will be able to see that the result is an integer that can be expressed as a fraction with two integers:

\sqrt{4} + \sqrt{25}=2 + 5= 7 The result is an integer

7=\frac{7}{1}

\sqrt{4} + \sqrt{9}= 2 + 3=5 The result is an integer

5=\frac{5}{1}

7 0
4 years ago
Mrs. Sheppard is teaching a 5th grade class. She is standing 15 feet in front of Shawna.
tino4ka555 [31]

Answer:

1-2 ft apart because the radius angle would be 2ft since its not a straight forward lining its horizontal.

Step-by-step explanation:

4 0
3 years ago
im rlly confused (its yes and no answers)Decide if each pair of expressions is equivalent.6(-4t + 5) and -2(15 - 12t)1/5(20t - 1
kirill [66]

Given data:

The expression of the first option is,

\begin{gathered} \text{6(-4t+5})and\text{-2(15}-12t) \\ =-6(5-4t) \end{gathered}

Thus, the above expression are not equivalent.

The expression in the second option is,

\begin{gathered} \frac{1}{5}(20t-15)\text{ and }4t-3 \\ 4t-3\text{ and 4t-3} \end{gathered}

Thus, yes they are equivalent.

The expression in the third option is,

\begin{gathered} 1.5\text{ }-2\text{t and 0}.25(8-6t) \\ 1.5\text{ }-2\text{t and 2-1.5t} \end{gathered}

Thus, the above expression are not equivalent.

The expression in fourth option is,

\begin{gathered} -3(t-7+5t+8)\text{ and }-18t-3 \\ -3(6t+1)\text{ and -18t-3} \\ -18t-3\text{ and -18t-3} \end{gathered}

Thus, yes the above expression is equivalent.

3 0
2 years ago
Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take fo
GenaCL600 [577]

Answer:

43.407 years

Step-by-step explanation:

Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take for Zoe's account to reach $7,000?

We are asked to find time t in a compound interest formula

The formula is given as:

t = log(A/P) / n[log(1 + r/n)]

A = Total amount = $7000

P = Principal = $600

n = number of times interest is compounded = Quarterly =4

r = Interest rate = 5.7% = 0.057

Hence,

t = log(7000/600) /4[log (1 + 0.057/4)]

t = 43.407 years

8 0
3 years ago
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