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3 years ago

Word problem One of the citizens has 97 silver coins. How many bronze coins would it take to equal this amount

Mathematics

1 answer:

natita [175]3 years ago

7 0

Given: Given that a citizen have 97 silver coins.

To find : Here we need to find that how many bronze coins would it take to equal this amount.

Solution: We know, 1 silver coin=10 bronze coin

So, 97 silver coin=10×97 bronze coin

=970 bronze coin

Therefore, 970 bronze coins would it take to equal this amount.

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A young boy let’s out 30 feet of string on his kite. If the angle of elevation from the boy to his kite is 27”, how high is the

const2013 [10]

Answer:

The height of the kite from the ground is 13.617 feet

Step-by-step explanation:

Given as :

The measure of the string = 30 feet

The angle of elevation from the boy to his kite = 27°

Let the height of the kite from ground = H feet

So, From Triangle

Sin angle = $\dfrac{\textrm perpendicular}{\textrm Hypotenuse}$

Or, Sin 27° = $\dfrac{\textrm H}{\textrm 30}$

or, H = 30 × Sin 27°

I.e H = 30 × 0.4539

∴ H = 13.617 feet

Hence the height of the kite from the ground is 13.617 feet Answer

7 0

3 years ago

Which operation should you perform first when you simplify 63 − (2 + 54 × 6) ÷ 5?A addition B division C subtraction D multiplic

miv72 [106K]

Answer:

Multiplication

Step-by-step explanation:

PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

-Since there are parentheses you do that first, so multiplication.

7 0

3 years ago

YO PLS HALP MEH I'LL GIVE BRAINLIEST

hammer [34]

Answer:

it is 11/6 and the second one I have no idea. sorry

Step-by-step explanation:

6 0

3 years ago

A baseball player has a batting average of 0.26. What is the probability that he has exactly 2 hits in his next 7 at bats

balu736 [363]

Answer:

The probability is $P(2) = 0.426$

Step-by-step explanation:

From the question we are told that

The probability of success is $p = 0.26$

The number of hits is n = 7

Generally this probability follows a binomial distribution given there can only be two outcome i.e the probability of success and the probability of failure

The probability of failure is $q = 1- p$

substituting values

$q = 1 - 0.26$

$q = 0.74$

Now the probability of exactly 2 hits in his next 7 at bats is mathematically evaluated as

$P(2) = \left n} \atop {}} \right. C_2 *p^{2} * q^{n- 2}$

substituting values

$P(2) = \left 7} \atop {}} \right. C_2 *p^{2} * q^{7- 2}$

Here $\left 7} \atop {}} \right. C_2$ means 7 combination 2 and using a calculator(reference calculator soup website) to compute, the value obtained is

$\left 7} \atop {}} \right. C_2 =21$

$P(2) = 21 *(0.26)^{2} * (0.74)^{5}$

$P(2) = 0.426$

6 0

3 years ago

Please Helppp Cacl AB Determining Slopes.

MrMuchimi

The zeros of the function are those values of $x$ that make $y=0$ . So we solve

$0=\dfrac{1+50\sin x}{x^2+3}$

The denominator will always be positive, so we can multiply both sides of the equation by it to get

$0=1+50\sin x\implies \sin x=-\dfrac1{50}$
$\implies x=\arcsin\left(-\dfrac1{50}\right)+2n\pi=-\arcsin\dfrac1{50}+2n\pi$

where $n$ is any integer. If we take $n=\pm1$ we should get the two solutions immediately adjacent to the one near $x=0$ that still lie in the interval $-5\le x\le5$ . So the other two zeros are $x=-\arcsin\dfrac1{50}\pm\pi$ .

The tangent line to the curve at any $x$ is determined by the value of the derivative of the function at that value of $x$ . So first compute the derivative:

$y=\dfrac{1+50\sin x}{x^2+3}\implies y'=\dfrac{50\cos x(x^2+3)-2x(1+50\sin x)}{(x^2+3)^2}=\dfrac{(50x^2+150)\cos x-100x\sin x-2x}{(x^2+3)^2}$

Now just plug in the values of $x$ determined above. It's helpful to note

$\cos\left(\arcsin\dfrac1{50}\right)=\dfrac{7\sqrt{51}}{50}$
$\cos(\theta+2n\pi)=\cos\theta$
$\sin(\theta+2n\pi)=\sin\theta$

4 0

3 years ago