How many numbers between 1 and 2000, inclusive,
have both a square root and a cube root as integer?
A A
3
B
4
©
5
D
6
7​

The perimeter of the rectangle WXYZ is 96 cm.

Here we see that

WXYZ is a rectangle (given)

Therefore,

∠WZY = 90 = ∠WZS

Since JS is parallel to PZ and JP is parallel to SZ, we get

JPSZ as a rectangle. Similarly, PKWQ, SYMR, and XQRL are rectangles.

JS = PZ

or, JS = PW + WZ

or, JS = KQ + WZ

or, WZ = JS - KQ

or, WZ = 52 - 25

or, WZ = 27

The side of the rhombus PS is a diagonal of rectangle JSPZ

Therefore length of the diagonal PS = √(JP² + JS²)

= √(52² + 39²)

= 65 cm

Hence for PWKQ,

PK = √(PQ² - KQ²)

= √(65² - 25²)

= 60 cm

For triangles ΔPWQ and ΔSYR,

the corresponding sides are parallel to each other. Hence we can say that

PW/YR = WQ/SY = PQ/RS

Therefore,

60/SY = 65/65            [Since they are the sides of a rhombus]

or, SY = 60 cm

Now, SY = SZ + ZY

or, SY = JP + ZY               [Opposite sides of a rectangle are equal]

or, ZY = 60 - 39

or, ZY = 21

Hence the perimeter of WXYZ

2(length + width)

= 2(27 + 21)

= 96 cm

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Complete Question

Rhombus PQRS is inscribed in a rectangle JKLM, as shown. Segments PZ and XR are parallel to JM. Segments QW and YS are parallel to JK. If JP = 39 cm, JS = 52 cm, and KQ = 25 cm, what is the perimeter of rectangle WXYZ?

Answer:

108+x=108 or x=108-108

x=72

x+y=108

y=108

x+88-88=108-88

x=92

88+y=88

if my answer is helpful comment

Answer:

\(1\frac{1}{2}\) <2<2 \(\frac{6}{11}\)

Step-by-step explanation:

\(1\frac{1}{2}\) is less than 2 is less than 2 \(\frac{6}{11}\)

\(\frac{33}{22} < \frac{44}{22} < \frac{56}{22}\)

The domain is talking about the "range" of the horizontal axis therefore you will be focusing on the x-intercepts.

The answer will be All non-negative real numbers less than or equal to 18

because the x-intercepts lies at 0 and 18. The answer makes sense because the furthest you can go is 18 ft and the closest you could go is 0 ft. The "all non-negative real numbers" puts a restriction on the least distance it could travel so that means that it stops at 0 ft because if you go any further, you will end up in the negatives and it clearly states "non-negative".

Answer:

Not sure if there are options, but the order of side lengths from smallest to largest is j, k, l

Step-by-step explanation:

This is a bad explanation (sorry):

Side length order will be the same order of angle orders. By that, I mean the since angle C has the smallest angle, the side length across from it will also be the smallest. Since angle B is the biggest angle, side L will be the biggest length. This leaves angle A (and side k) in the middle.

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

Answer:

C

Step-by-step explanation:

To solve this question we would use , 15.35+(2.25×3)−2]÷3.

Answer = C

Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.

Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.

Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).

Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.

To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:

t = (82-72) / (9.89 / sqrt(10)) = 3.19

Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.

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Answer:

-5

2

-125

-3

Step-by-step explanation:

5 + A = 0

Subtract 5 from both sides.

A = -5

-8/4 - B = -4

-2 - B = -4

B + 2 = 4

B = 2

C ÷ 25 = -5

C = -125

D × 13 = -39

D × 13/13 = -39/13

D = -3

Answer:

5.5x+3.5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

y = 9

Step-by-step explanation:

19-y+5y= 55

19+4y = 55

4y = 55 - 19

4y = 36

y = 36/4

y = 9

There is no proportional relationship between x and y.

No, all ratios yx are not equivalent.

We have,

"Two or more number or variable are said to be in proportion if the ratio between them are equivalent to each other."

According to the question,

Given x : 8 , 10, 12, 14

        y : 5, 7, 9, 11

Ratio between different values of x and y are not equivalent

( 8 /5) ≠ (10 / 7)≠ (12 /9) ≠(14 /11)

We conclude there is no proportional relationship between x and y.

Hence, Option(1) is the correct answer.

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complete question:

Is there a proportional relationship between x and y? Explain.

x 8 10 12 14

y 5 7 9 11

1. No; all ratios yx are not equivalent.

2.Yes; each x value and y value increases by 2.

3.Yes; the difference between each x value and y value is 3.

4.No; all ratios xy are greater than 1.

Answer:

A. Pentagon with side of 4 ft

Area of a polygon formula:

Applied to our pentagon:

-----------------------------

B. Octagon with apothem of 5 cm

Area of polygon:

Applied to our octagon:

Don't trust me but it's probably the first one. Just using context clues

Answer and Step-by-step explanation:

Because of the vertical angles theorem, the angle that is 65 degrees would be equal to y.

y = 65°

X and Y are supplementary angles, which form a linear lair. This linear pair will add up to 180 degrees.

TO find x, we subtract 65 from 180.

180 - 65 = 115

x = 115°

X and Z are vertical angles, so they are equal to each other.

z = 115°

x = 115°

y = 65

z = 115°

To solve for the length of PQ, we would use the Pythagorean theorem equation.

\(a^{2} +b^{2}= c^{2} \\\\\\a = PQ\\\\b = QR\\\\c = PR\\\\\\a^{2} + 24^{2} = 25^{2} \\\\a^{2} + 576 = 625\\\\a^{2} = 49\\\\a = 7\)

The length of PQ is 7.

#teamtrees #WAP (Water And Plant)

Answer:

y = 65 degrees

x = 115 degrees

z = 115 degrees

Step-by-step explanation:

the angle between c and a will be the same as y because of vertical angles

the same goes for x and z

y and x are supplementary angles, so if y is 65 then you do 180 - 65 to get 115

Answer:

(b) 310 mi, 12.76km/liter

Step-by-step explanation:

We are told that Toronto is 500 km north on Highways. Since 1 km = 0.62 mi, then Toronto is: 500 × 0.62 = 310 miles

Aanya’s car averages 30 mi/gallon.

We are told that 1 mi = 1.61 km

Thus, her average is now;

30 × 1.61 km/gallon = 48.3 km/gallon

We are told that 1 qt = 0.946 liters

But also, 0.25 gallon = 1 qt

Thus;

0.25 gallon = 0.946 litres

Thus, 1 gallon = 0.946/0.25 litres = 3.784 litres

Thus, 48.3 km/gallon to km/litres = 48.3/3.784 = 12.76 km/litres

Answer is 310 miles and 12.76 km/litres

Answer: 20 servings

Step-by-step explanation:

1 divided by 4 is 4, 4 times 5 is 20

30% of a number is 7.5 can be written as an equation.

30% can be rewritten as 0.30, or even 0.3.

a number can be written as "x".

So far, we have 0.3x.

"is" is a keyword for "equal".

0.3x=

It says "is 7.5".

0.3x=7.5

We can solve this equation.

0.3x=7.5

/0.3   /0.3

x=25

---

hope it helps

Answer:

5 11/12

Step-by-step explanation:

3+2= 5

¼+⅔= 3/12+ 8/12= 11/12

Answer:

But it's your work so you shouldn't be the one complaining. You are depending on us.

Btw, the answer is deleted.

Answer:

the answer is lemme cop these 5 points real quick

The solution is,  the domain is: x ∈ (-∞, ∞).

Here, we have,

When we have two functions, f(x) and g(x), the composite function:

(f°g)(x)

is just the first function evaluated in the second one, or:

f( g(x))

And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:

f(x) = 1/(x + 1)

where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.

Now, we have:

f(x) = x^2

g(x) = x + 9

then:

(f ∘ g)(x) = (x + 9)^2

And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:

x ∈ (-∞, ∞)

(g ∘ f)(x)

this is g(f(x)) = (x^2) + 9 = x^2 + 9

And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:

x ∈ (-∞, ∞)

(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4

And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:

x ∈ (-∞, ∞)

(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18

And again, there are no values of x that cause a problem here,

so the domain is:

x ∈ (-∞, ∞)

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complete question:

Consider the following functions. f(x) = x2, g(x) = x + 9 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notat

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Answer:

The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.

An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.

Answer:

5.45455

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17 and 19

2+3=5

2+13=15

3+7=10

These are all divisible by 5

Answer:

$6.76

Step-by-step explanation: