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2 years ago

Given the triangle below, solve for X.

Mathematics

1 answer:

Dima020 [189]2 years ago

5 0

Answer:

19.8494332413? Sorry I couldn't be more helpful.

Step-by-step explanation:

Use the Pythagorean theorem.

$a^{2}+b^2=c^2\\13^2+15^2=x^2\\169+225=x^2\\394=x^2\\19.8494332413=x


$

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An oblique prism with a square base of edge length x United has a volume of 1/2 x3 cubic units. Which expression represents the

aleksklad [387]

Answer:

The answer is x units.

Step-by-step explanation:

We are tasked to solve for the expression that represents the height of the prism. We are given with the following values:

length = x² units

volume = x³ units

We will use the formula below:

V = length x height

x³ = x² * height

height = x³/x units

height = x units

The answer is x units.

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2 years ago

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According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o

igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

$\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } }$ ~ N(0,1)

where, p = 0.20 and n = 100

Let $\hat p$ = proportion of red candies in our sample

So, P( $\hat p$ < 0.20) = P( $\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } }$ < $\frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } }$ ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

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3 years ago

Help? I dont remember what standard form is? is it y=mx+b or that something else? Pls explain how to solve this? Will mark brain

Pavel [41]

Answer:

The standard form of a linear equation is AX + BY = C.

Step-by-step explanation:

The equation y=mx+b is slope-intercept form. When referring to the standard form of a quadratic equation, the expression is ax^2 + bx + c = 0.

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3 years ago

Two objects are moving along separate linear paths where each path is described by position, d, and time, t. The variable d is m

Maru [420]

I am not sure about this but here goes nothing: d=2.5t+2.2 is very familiar to y=mx+b y=d m=2.5 x=t b=2.2 to find a new quasion we substitute d and t into place wich equals 1=2.5(0)+b simplification and you get b=1 so your answer is d=2.5t+1

8 0

3 years ago

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Question 3 (1 point) Co-60 has a half life of 5.3 years. If a pellet that has been in storage for 26.5 years contains 14.5g of C

Zarrin [17]

Answer:

464 grams.

Step-by-step explanation:

Amount of substance:

The amount of substance after t years is given by an equation in the following format:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Co-60 has a half life of 5.3 years.

This means that:

$A(5.3) = 0.5A(0)$

We use this to find r. So

$A(t) = A(0)(1-r)^t$

$0.5A(0) = A(0)(1-r)^{5.3}$

$(1-r)^{5.3} = 0.5$

$\sqrt[5.3]{(1-r)^{5.3}} = \sqrt[5.3]{0.5}$

$1 - r = 0.5^{\frac{1}{5.3}}$

$1 - r = 0.8774$

$A(t) = A(0)(0.8774)^{t}$

If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage?

We have that $A(26.5) = 14.5$ , and use this to find A(0). So

$A(t) = A(0)(0.8774)^{t}$

$14.5 = A(0)(0.8774)^{26.5}$

$A(0) = \frac{14.5}{(0.8774)^{26.5}}$

[tex]A(0) = 464[tex]

464 grams.

3 0

3 years ago