If a leg of a 45-45-90 triangle is 11 then the hypotenuse is...
a)11
b)11√3
c)11√2
d)5.5

Include work if possible :)

Final answer:

To multiply mixed numbers, convert them into improper fractions, multiply the numerators and denominators separately, and simplify the resulting fraction.

Explanation:

To multiply mixed numbers, we first convert them into improper fractions. Then, we multiply the numerators and denominators separately and simplify the resulting fraction if possible.

In this case, (2 4/5) can be written as 14/5 and (-5 2/3) can be written as -17/3. Therefore, (2 4/5) (-5 2/3) can be simplified to (-14/5) * (-17/3).

To multiply fractions, we multiply the numerators and denominators together. So, (-14/5) * (-17/3) = (14 * 17) / (5 * 3) = 238/15 = 15 13/15.

Answer: [tex]90cm^3[/tex]

Step-by-step explanation:

A rectangular prism is a three-dimensional solid.

A rectangular prism has six faces (each one of these faces are rectangles), eight vertices and twelve edges.

You know that this rectangular prism has 5 layers and the volume of one of these layers is 18 cubic centimeters ([tex]18cm^3[/tex]).

Assuming that all these layers are equal, the volume of this rectangular prism can be calculated with:

[tex]V_{prism}=5*V_1[/tex]

Where [tex]V_1[/tex] is the volume of one layer.

Substituting, you get:

[tex]V_{prism}=(5)(18cm^3)\\\\V_{prism}=90cm^3[/tex]

Answer:

168

Step-by-step explanation:

Answer:

80,640 IN 3

Step-by-step explanation:

5 is the factor of 15

Answer:

Step-by-step explanation:

[tex]The \factors\ of\ 15:\ 1,\ 3,\ 5,\ 15\\\\15=1\cdot15\\15=3\cdot\boxed5\\15=5\cdot3\\15=15\cdot1[/tex]

It's A. 2.5

It's not B that person is wrong.

[tex]\bold{Hey\ there!} \\ \bold{-4-2\downarrow}\\ \bold{-4+(-2)}\\ \\ \\ \\ \bullet \bold{negative\ and\ negative = positive} \\ \bullet{\bold{positive\ and\ negative=negative}} \\ \bullet\bold{negative\ and\ positive=negative}\\ \bullet\bold{positive\ and\ positive= positive} \\ \\ \\ \boxed{\bold{This\ means\ that\ your\ answer\ will\ turn\ out\ to\ be\ a\ negative!}} \\ \\ \\ \\ \boxed{\boxed{\bold{Answer:-6(Option\ A.)\checkmark}}}[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ and\ enjoy\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Answer:

The answer is -6

Step-by-step explanation:

Answer:

a≈2.594

b≈2.705

c≈2.718

d≈2.718

e≈2.718

Step-by-step explanation:

To  solve this exercise you must substitute the corresponding values of x shown in the table, into the function given.

To find a, substitute x=10, then:

a≈[tex]y=(1+\frac{1}{10})^{10}[/tex]

a≈2.594

To find b, substitute x=100, then:

b≈[tex]y=(1+\frac{1}{100})^{100}[/tex]

b≈2.705

To find c, substitute x=10,000:

c≈[tex]y=(1+\frac{1}{10,000})^{10,000}[/tex]

c≈2.718

To find d, substitute x=100,000:

d≈[tex]y=(1+\frac{1}{100,000})^{100,000}[/tex]

d≈2.718

To find e, substitute x=1,000,000:

e≈[tex]y=(1+\frac{1}{1,000,000})^{1,000,000}[/tex]

e≈2.718

Answer:

just took the test and heres ur answers

2.594

2.705

2.718

2.718

2.718

promise  these are the answers

Step-by-step explanation:

3 x 60 = 180

180 < 300

300 mins is greater.

Answer:

A : -30(3+2w)

B : (-9-6w) ⋅ 10

E : −20(4.5 + 3w)

Step-by-step explanation:

Using distributive property:

A : -30(3+2w)  =  -90 - 60w          : equivalent to -90 - 60w

B : (-9-6w) ⋅ 10  = -90 - 60w          : equivalent to -90 - 60w

C : -3(30 - 20w)  = -90 + 60w       : NOT equivalent to -90 - 60w

D : (6 + 4w)×15  = 90 + 60w          : NOT equivalent to -90 - 60w

E : −20(4.5 + 3w) = - 90 - 60w     : equivalent to -90 - 60w

Answer:

A : -30(3+2w)

B : (-9-6w) ⋅ 10

E : −20(4.5 + 3w)

Answer:

A, B and E.

Step-by-step explanation:

We have -90-60w. Both 90 and 60 are multiples of 30, so we can apply common factor -30:

-90-60w = -30(3+2w). Then option A is correct.

Now, 90 and 60 are also multiples of 10, so we can apply common factor 10:

-90-60w = 10(-9-6w). Then option B is correct.

Now, 90 and 60 are also multiples of 3, so we can apply common factor -3:

-90-60w = -3(30+20w). Then option C is incorrect.

Now, 90 and 60 are also multiples of 15, so we can apply common factor 15:

-90-60w = 15(-6-4w). Then option D is incorrect.

Now, 90 is not a multiple of 20 but we can apply common factor obtainig a decimal number. Applying common factor -20 we have

-90-60w = -20(4.5+3w). Then option E is correct.

Answer:

A

Step-by-step explanation:

This is an even polynomial because both ends end up. This means the degree of the polynomial is even. This means b and c are not solutions since their degrees are odd.

To determine between A and D look at the x-intercepts. The x-intercepts of a polynomial graph have a special relationship with its equation. The x-intercepts are the solutions or roots of the factors. This means that when each factor is set equal to 0 and solved, its solution is an x-intercept. Here the x-intercepts are x = -1, 0,3. This means the factors are x(x+1)(x-3).

Notice at x = -1, the function touches but does not cross? This means the factor has an even exponent on it.

So the expression is likely x(x+1)^2 (x-3).

Since only one factor has an exponent, the answer is A.

Answer:

Both because they're basically the same thing ;-;

Step-by-step explanation:

1) 23.33 - 15.59 = 7.29

  7.74/6 = 1.29 So he bought 1 soda ;-;

2) 15.59 + 6c = 23.33 - Subtract 15.59 from both sides:

    6c = 7.74 - Divide both sides by 6

    c = 1.29 So he bought 1 soda again

The rest of the money is probably the tax so ;-;

Good luck and hopefully I helped!

Answer:

125%

Step-by-step explanation:

Lopez made more than the required minimum. So, his percentage will be over 100, for sure. But how much?

This question is essentially asking "60 is what percent of 48"?

We can translate this into:

60 = P * 48

Note: is means "=" and of means "*"

Solving for p:

[tex]60=P*48\\P=\frac{60}{48}\\P=1.25[/tex]

In percentage it is 1.25 * 100 = 125%

Final answer:

Mr. Lopez made 125% of the minimum required number of circuit boards on Wednesday, by dividing the 60 circuit boards he made by the minimum of 48 and then multiplying by 100.

Explanation:

The question asks how to calculate the percentage of the minimum amount of circuit boards Mr. Lopez made on Wednesday. To find this percentage, we divide the number of circuit boards made by Mr. Lopez by the minimum required number and then multiply by 100 to convert it into a percent.

Step-by-Step Solution:

Mr. Lopez made 60 circuit boards on Wednesday.

The minimum requirement is 48 circuit boards per day.

To find the percentage, use the formula: (Actual amount / Minimum requirement) x 100%.

So, the calculation would be: (60 / 48) x 100% = 125%.

Therefore, Mr. Lopez made 125% of the minimum required number of circuit boards on Wednesday.

Answer:

The solutions are

[tex]x=1+\sqrt{\frac{7}{3}}[/tex]

[tex]x=1-\sqrt{\frac{7}{3}}[/tex]

Step-by-step explanation:

we have

[tex]3x^{2}-6x-4=0[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]3x^{2}-6x=4[/tex]

Factor the leading coefficient

[tex]3(x^{2}-2x)=4[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]3(x^{2}-2x+1)=4+3[/tex]

[tex]3(x^{2}-2x+1)=7[/tex]

Rewrite as perfect squares

[tex]3(x-1)^{2}=7[/tex]

[tex](x-1)^{2}=\frac{7}{3}[/tex]

square root both sides

[tex]x-1=(+/-)\sqrt{\frac{7}{3}}[/tex]

[tex]x=1(+/-)\sqrt{\frac{7}{3}}[/tex]

[tex]x=1+\sqrt{\frac{7}{3}}[/tex]

[tex]x=1-\sqrt{\frac{7}{3}}[/tex]

Answer: is in picture below

Step-by-step explanation:

Answer:

7 1/2 reciprocal: 9

Step-by-step explanation:

Flip the fraction for the reciprocol

Answer:

Quadratic Formula x = [-b +- Sq root (b^2 - 4ac)] / 2a

In this example a= 2 b= -6 c= 5

x = [- - 6 +- Sq root ((-6^2) - 4 *2*5)] / 2*2

x = [6 +-sq root (36 -40)] / 4

x = 6 +- 2i / 4

x1 = 1.5 + .5i  

x2 = 1.5 -.5i

Step-by-step explanation:

Answer:

x = 1.5 - .5i and 1.5 + .5i

Step-by-step explanation:

to start off - this is the quadractic fromula: x = -b ± √b²-4(a)(c) / 2(a)

a = 2x²

b = -6x

c = 5

now you just fill the numbers in to the formula!!

x = -(-6) ± √(-6)²-4(2)(5) / 2(2)

x = 6 ± √36 - 40 / 4

x = 6 ± √-4 /4

x = 6 ± 2i / 4

x = 6+ 2i/4     and 6 - 2i/4

x = 1.5 + .5i    amd 1.5 - .5i

hope this helps!!

Answer:

The first monthly interest is (A) $24.00

Step-by-step explanation:

This question can be soled using the concept of simple interest.

Simple interest can be calculated by the formula,

[tex]S.I = \frac{prt}{100}[/tex]

here P = 2400, r = 12, t 1/12. putting the values in the above equation we get

[tex]S.I = \frac{prt}{100}= \frac{2400*12*1}{100*12}=24.00[/tex]

thus The interest paid in first month is $24.00

Learn more about interests here https://brainly.com/question/20690803

#SPJ2

The answer for the second question ( x < 3) is A

The answer for the first question is B

Answer:

The answer is 70.

Step-by-step explanation:

Change the percent into a decimal and divide 21 by it.

Answer:

5 units right

Step-by-step explanation:

Answer:

5x^2-x-4

Step-by-step explanation:

Combine the terms.

Answer:

25

Step-by-step explanation:

Since we have the same amount of each ingredient, the first step is to find out what will be the limiting ingredient (of which we need more quantity per cake) that ingredient is flour.

So the cakes we can make with 75 cups of flour will be the total cakes we can make.

since we need 3 cups of flour per cake:

[tex]\frac{75 cups}{3cups/cake} =25 cakes[/tex]

we can make 25 cakes in total.

*sugar will be left over but because with 25 cakes the flour ends, this is the total amount of cakes we can make,

Answer:

C

Step-by-step explanation:

You can just count the number of squares (which I did)

Or you can divide the composite shape into multiple rectangles, find their side lengths, and use the rectangle area formula to find the areas of each of the rectangles and add them all up together.

You could break it down into shapes or just count the squares. It looks like the area is C) 71

I think the answer is 15.

Hope this helps.

Answer:

15

Step-by-step explanation:

Given that Jared is taking inventory of the books in his school library.

A graph given is a straight line starting from (0,0) passing through points as (1,15) (2,30)...

This implies that on x axis number of shelves and y axis no of books are marked

So for 1 shelf we have 15 books.

Thus constant of proportionality  in terms of number of books per shelf is ___.15

Answer:

Report Me and sub To PewDiePie

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The least common multiple is 20 :)

A≈227 would be your answer, hope this helps

Final answer:

To find the area of a circle with a circumference of 53.41 inches, calculate the radius using r = C / (2π) and then find the area using A = πr². The area is approximately 226.795 square inches.

Explanation:

To find the area of a circle given its circumference, you can use the formula for the circumference, C = 2πr, where C is the circumference and r is the radius. From there, you can derive the radius and then calculate the area using the formula A = πr². Given that the circumference is 53.41 inches, we first find the radius (r).

The formula for circumference (C) simplifies to r = C / (2π). Thus, r = 53.41 inches / (2×3.14), which gives us r = 53.41 / 6.28 = approximately 8.5 inches. Now that we have the radius, we can plug it into the area formula A = πr². Using the given radius, the area A equals 3.14×8.5² inches², which is about 3.14×72.25 inches² = 226.795 inches² (rounded to three significant figures).

Answer:

[tex]\large\boxed{RT=\sqrt{165}}[/tex]

Step-by-step explanation:

PT = NT. Therefore we have the equation:

[tex]4x-17=x+10[/tex]       add 17 to both sides

[tex]4x=x+27[/tex]          subtract 4x from both sides

[tex]3x=27[/tex]         divide both sides by 3

[tex]x=9[/tex]

Therefore

[tex]NT=4(9)-17=36-17=19[/tex]

Use the Pythagorean theorem:

[tex]RT^2+RN^2=NT^2[/tex]

Substitute RN = 14 and NT = 19:

[tex]RT^2+14^2=19^2[/tex]

[tex]RT^2+196=361[/tex]           subtract 196 from both sides

[tex]RT^2=165\to RT=\sqrt{165}[/tex]

Answer: OPTION C

Step-by-step explanation:

By definition, the roots of the quadratic function are the interceptions of the parabol with the x-axis.

As you can see in the graph, the parabola intersects the x-axis at:

[tex]x=-5\\x=1[/tex]

Then these are the roots.

Therefore, this means that:

[tex]x=-5\\x+5=0\\\\x=1\\x-1=0[/tex]

So, the factorization is the following:

[tex](x+5)(x-1)=0[/tex]

ANSWER

[tex]y = (x + 5)(x - 1)[/tex]

EXPLANATION

From the graph, the x-intercepts are

[tex]x = 1[/tex]

and

[tex]x = - 5[/tex]

This implies that (x-1) and (x+5) are factors of the function represented by the graph.

Therefore we factor the function as

[tex]y = (x + 5)(x - 1)[/tex]

The correct choice is C.

Answer:

Reference angle: [tex]\frac{\pi}{2}[/tex]

[tex]tan(\theta)=tan(\frac{3\pi}{2})[/tex] is not defined.

Step-by-step explanation:

The angle [tex]\theta[/tex] goes from the positive x-axis to the negative y-axis.

Therefore the reference angle can be calculated as following:

[tex]\frac{3\pi}{2}-\pi=\frac{\pi}{2}[/tex]

 We know that [tex]tan(\theta)[/tex]is:

[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

If [tex]\theta=\frac{3\pi}{2}[/tex] then [tex]cos(\frac{3\pi}{2})=0[/tex], therefore [tex]tan(\frac{3\pi}{2})[/tex] is not defined, because the division by 0 is not defined.

Answer:

I know for a fact that the reference angle for 3pi/2 is pi/2 so the first one is A, and if I'm not mistaken, the second one should be undefined.

Step-by-step explanation: