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2 years ago

13

What is each measure of the rhombus?

1 answer:

Elodia [21]2 years ago

5 0

A. 15
b. 26

d. 41
e. 82
f. 98

h. 49

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300 is what percent of 1200

Nadya [2.5K]

Two ways:

$\frac{300}{1200}$ = $\frac{1}{4}$ and 1/4 = 25%

Another way.

300 = n% of 1200
Problem - we can't move n% back two place to change it to a decimal since we don't know what n is. Solution - move the decimal back on the 1200 two places because since of means x, it doesn't matter. Sample .45 x 32 = 45 x .32 Notice that the decimal can be place on either number and it results in the same answer.

So 300 = 12n (1200 moved back 2 places)
now divide by 12
<u>300</u> = <u>12n
</u>12 12 and once again n=25(%)<u>
</u><u>
</u>

4 0

3 years ago

Read 2 more answers

What substitution should be used to rewrite 4x^4-21x^2+20=0 as a quadratic function?

pogonyaev

Answer:

see explanation

Step-by-step explanation:

Let u = x² ( choice of variable is flexible ), then

4u² - 21u + 20 = 0 ← expressed as a quadratic

This can now be solved for u and converted back into terms of x

3 0

3 years ago

Read 2 more answers

3) x2+ y2 - x + 3y - 42 = 0<br> X+y=4

REY [17]

The solution is $(-1,5)$ and $(7,-3)$

Step-by-step explanation:

The expression is $x^{2} +y^{2} -x+3y-42=0$ and $x+y=4$

Using substitution method we can solve the expression.

Let us substitute $x=4-y$ in $x^{2} +y^{2} -x+3y-42=0$

$(4-y)^{2} +y^{2} -(4-y)+3y-42=0$

Expanding and simplifying the expression, we get,

$\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}$

Let us use the quadratic equation formula to solve this equation,

$\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}$

Thus, $y=5$ and $y=-3$

Substituting y-values in the equation $x+y=4$ , we get the value of x.

For $y=5$ ⇒ $x=4-5=-1$

For $y=-3$ ⇒ $x=4+3=7$

Thus, the solution set is $(-1,5)$ and $(7,-3)$

7 0

3 years ago

Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour.use the

Verdich [7]

Mike ($3.75): x

Friends ($3.75): 3x

Mike + Friends ≤ 25

3.75(x) + 3.75(3x) ≤ 25

3.75x + 11.25x ≤ 25

15x ≤ 25

$\frac{15x}{15}$ ≤ $\frac{25}{15}$

x ≤ 1 $\frac{2}{3}$

Answer: they can rent the paddleboards for 1 hour 40 minutes

7 0

3 years ago

In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angl

Alik [6]

Answer: The answer is B

Step-by-step explanation:

4 0

3 years ago