what is the value of 0.5² + (3/5)² ?


​

Answer:

The multiples of 5 are (b.10,25,45,60)

Answer:

x=37°

y=6

Step-by-step explanation:

(ASSUMING BD is a perpendicular bisector of AC, otherwise answers maybe be wrong)

Consider the triangle ABC:

AB is the same length as BC (marked), meaning ABC is an isosceles triangle.

Since ABC is isosceles, ∠BAC=∠BCA=53

All angles in a triangle add up to 180:

180=∠ABC + ∠BAC + ∠BCA

180= ∠ABC + 53 +53

∠ABC = 180 - 106

∠ABC = 74

Assuming BD bisects ∠ABC perfectly, x is half of ∠ABC.

x=74/2=37

If BD bisects AC perfectly, AD=DC=y=6

Answer:

3,900

Step-by-step explanation:

250 por 26.

26 por 100.

6500 - 2600

$1400 is the total annual premium of  26-year-old male.

Two or more expressions with an Equal sign is called as Equation.

The 26-year-old male has purchased liability insurance with a coverage of 100/300/100, collision insurance with a $100 deductible, and comprehensive insurance with a $250 deductible.

Assuming the annual premium for liability coverage is $500, the annual premium for collision coverage is $600

The annual premium for comprehensive coverage is $300

the total annual premium for his insurance coverage would be $1400.

Hence,  $1400 is the  total annual premium of  26-year-old male.

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Answer:

Step-by-step explanation:

2 25/30  + 3 12/30

5 37/30

5 + 1 7/30

6 7/30

Answer/Step-by-step explanation:

Decompose each shape, find the volume of each cuboid, and add both volumes you get together.

Recall: volume of cuboid = L*W*H

4. Volume of cuboid 1: L*W*H = 12*10*4 = 480 ft³

Volume of cuboid 2: L*W*H = 12*3*5 = 180 ft³

Volume of the shape = 480 + 180 = 660 in.³

5. Volume of cuboid 1: L*W*H = 11*2*5 = 110 yd³

Volume of cuboid 2: L*W*H = 10*4*2 = 80 yd³

Volume of the shape = 110 + 80 = 190 yd³

6. Volume of cuboid 1: L*W*H = 8*3*2 = 48 in.³

Volume of cuboid 2: L*W*H = 14*2*3 = 84 in.³

Volume of the shape = 48 + 84 = 132 in.³

7. Volume of cuboid 1: L*W*H = 5*3*2 = 30 yd³

Volume of cuboid 2: L*W*H = 6*2*5 = 60 yd³

Volume of the shape = 30 + 60 = 90 yd³

8. Volume of cuboid 1: L*W*H = 12*2*18 = 432 in.³

Volume of cuboid 2: L*W*H = 18*5*6 = 540 in.³

Volume of the shape = 432 + 540 = 972 in.³

9. Volume of cuboid 1: L*W*H = 13*11*4 = 572 ft³

Volume of cuboid 2: L*W*H = 13*6*7 = 546 ft³

Volume of the shape = 572 + 546 = 1,118 ft³

Answer:

Step-by-step explanation:

There are two ways to do this, the one that makes more logical sense and the faster one

You can first calculate how much is 25%. You do this by $24.99 × 25 ÷ 100

Since you know how much is "discounted", just minus the answer you get above with the original price ($24.99 - $6.2475)

The quicker way is to recognise that "original price" is always 100%. In other words, you can just do 100% - 25% and get 75%. Then, $24.99×75÷100 is your answer.

Answer:

262.5 inches

Step-by-step explanation:

All we need to do is 75% of 150, which is 112.5, then add it to 150 to get our answer!

The following triangle is  right angle tringle. In the following options the option C is correct.

Let the given triangle is XYZ.

Consider that the data for the given triangle XYZ:

∠X=45°

∠Y=90°

∠Z=45°

The right-angled triangle or right angle triangle is the triangle has one of the angle is 90° or a right angle. The  right angle triangle is also known as the orthogonal triangle.

In the given triangle the angle are 45°, 90° and 45° of X, Y and Z, respectively,

Since, the given  triangle XYZ has one of the angle is right angle, that is angle Y or the triangle XYZ has one of the angle is 90°, that is, ∠y=90°.

Therefore, the triangle XYZ is right angle triangle.

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Answer:

1) 10

2) 46

3) 2

4) -21

5) -10

6) -4

Answers + Explanations:

For each substitute g = -7 and h = 3 into the equation:

1.

[tex]h - g\\3 - (-7)\\3 + 7\\10[/tex]

2.

[tex]g^2 - h \\(-7)^2 - 3\\49 - 3\\46[/tex]

3.

[tex]g + h^2\\-7 + 3^2\\-7 + 9\\2[/tex]

4.

[tex]gh\\(-7) * 3\\-21[/tex]

5.

[tex]g - h\\-7-3\\-10[/tex]

6.

[tex]g + h\\-7 + 3\\-4[/tex]

Answer:

b = 8.89, c = 11.96 and m∠B = 48°

Step-by-step explanation:

From the given triangle ABC,

We will apply sine ratio for angle A,

sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(42)° = [tex]\frac{BC}{AB}[/tex]

sin(42)° = [tex]\frac{8}{AB}[/tex]

AB = [tex]\frac{8}{\text{sin}(42)}[/tex]

AB = 11.96

c = 11.96

By triangle sum theorem,

m∠A + m∠B + m∠C = 180°

42° + m∠B + 90° = 180°

m∠B = 180 - 132

m∠B = 48°

By cosine ratio of angle A,

cos(A) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(42)° = [tex]\frac{AC}{AB}[/tex]

AC = AB.cos(42)°

AC = (11.96)cos(42)°

AC = 8.89

b = 8.89

Answer

y = 3(2) = 6

Thus, she tutored for 2 hours and cleaned tables for 6 hours.

Explanation

These questions are all about writing down mathematically what they are saying in words. Use variables whenever there is an unknown, and try to write equalities based on what is said.

So, taking it one step at a time:

Eva is working two summer jobs,

Cool.

making $16 per hour and $8 per hour clearing tables.

I'm guessing this is $16/hr for tutoring, and $8/hr for clearing tables?

Last week Eva worked 3 times as many hours clearing tables as she worked tutoring hours

Let C = the number of hours Eva worked at clearing tables

Let T = the number of hours Eva worked at tutoring

Last week Eva worked C = 3 * T

and earned a total of $80.

The amount she earned at each place is:

8*C = money from clearing tables

16*T = money from tutoring

8*C + 16*T = 80

Solve a system of equations in order to determine the number of hours Eva worked tutoring last week, X, and the number of hours Eva worked clearing tables last week, Y,

Welp, I guess they wanted X and Y but it doesn't matter. From the equations above we can say:

8*C + 16*T = 80

C = 3*T

That should be enough to solve for:

C = ?

T = ?

Let x = # of hrs spent tutoring, y = # of hrs spent cleaning tables

We know she worked 3 times as many hours cleaning tables as she did tutoring, which implies:

3x = y

Also, her total earnings add up to $80, which implies:

16x + 8y = 80

This gives us the following system of equations:

3x = y

16x + 8y = 80

Let's make the substitution y = 3x into the 2nd equation:

16x + 8(3x) = 80

16x + 24x = 80

40x = 80

x = 2.

Next, plug in x = 2 into the first equation:

y = 3(2) = 6

Thus, she tutored for 2 hours and cleaned tables for 6 hours.

Answer: They sold 65 tetras.

Step-by-step explanation:

Let x= Number of tetras

y= Number of angel fish.

As per given,

x+y= 110                  (i)

0.40x+1.20y=80         (ii)

Multiply 2.5 on both sides of (ii), we get

x+3y=200        (iii)

Eliminate (i) from (iii)

[tex]2y=90\\\\\Rightarrow y=45[/tex]

Put value of y in (i)

[tex]x+45=110\Rightarrow x=65[/tex]

Hence, they sold 65 tetras.

Answer: 40% of 50 is 14

Step-by-step explanation:

Answer:

i think its c

sorry if im wrong!

Step-by-step explanation:

Answer:

4 bags of bread

Step-by-step explanation:

Answer:

The answer is 5 + 112x

Step-by-step explanation:

Simplify each term.

~Hoped this helped~

Answer:

the answe is [tex]\frac{176}{7}[/tex]

Step-by-step explanation: th

Answer:

24

Step-by-step explanation:

first the left part: 1x10=10, 10-4=6

Right part: 2x10=20, 20-2=18

And the final 18+6=24

Answer:

tip: study

Step-by-step explanation:

Answer: -4 or 4

Step-by-step explanation:

4*4 is 16

-4*-4 is 16

Answer

what are the answer choices

Step-by-step explanation:

I says which of the following so I need the choices.

Answer:

i pretty sure its 10cm

Step-by-step explanation:

Answer:

13/72

Step-by-step explanation:

Step-by-step explanation:

13/72

Answer:

A=2πrh+2πr2

Step-by-step explanation:

whatever your pie is do that equation.

Answer:

Step-by-step explanation:

tabel

.52, .48, 1

.84,.16,1

.67,.33,1