10th Grade Mathematics Assessment SU
Question 3
A family wants to purchase a new refrigerator, but they need to determine the volume before they buy it. What is volume of the refrigerator?
4 ft
3 ft
1
2 ft
4 ft

Answer: 500

Step-by-step explanation:

Given

6 g butter is required to make a cupcake

If there is 3 kg butter

We know, 1 kg is equivalent to 1000 g i.e. 3 kg is 3000 gm

No of cup-cakes made

[tex]\Rightarrow \dfrac{3000}{6}=500\ \text{cupcakes}[/tex]

Answer:

O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.

Step-by-step explanation:

Dois triângulos semelhantes possuem razão entre suas áreas igual a 9.

O perímetro tem grau um, enquanto a área tem grau 2. Isto implica que a razão entre os perímetros é a raiz quadrada da razão entre as áreas, então a razão entre os perímetros é de 3.

Se o perímetro de um deles é 10, o perímetro do outro deve ser:

Ou 10*3 = 30, ou [tex]\frac{10}{3} = 3.33[/tex]

O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.

Answer:

76°

Step-by-step explanation:

Applying trigonometry :

Angle x ;

Tan x = opposite / adjacent

Tan x = (30/20)

x = tan^-1(30/20)

x = 56.31°

Angle y;

Tan y = opposite / adjacent

Tan y = (22/20)

x = tan^-1(22/20)

x = 47.73°

The angle θ ;

Sum of angles in a straight line = 180

56.31 + 47.73 + θ = 180°

θ = 75.96°

Answer:

12.94811641 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 44 = x /18

18 cos 44 =x

12.94811641 =x

Answer:

12.9

Step-by-step explanation:

cos(44) = x/18

x = cos(44) * 18

x = 12.9

Answer:

Step-by-step explanation:

x=[tex]\sqrt{100+16}[/tex]

x=[tex]\sqrt{116}[/tex]

x=2[tex]\sqrt{29[/tex]

Answer:

[tex] x = \blue{2\sqrt{29}} [/tex]

Step-by-step explanation:

[tex] a^2 + b^2 = x^2 [/tex]

[tex] 4^2 + 10^2 = x^2 [/tex]

[tex] 16 + 100 = x^2 [/tex]

[tex] x^2 = 116 [/tex]

[tex] x = \sqrt{116} [/tex]

[tex] x = \sqrt{4 \times 29} [/tex]

[tex] x = \blue{2\sqrt{29}} [/tex]

Answer and Step-by-step explanation:

i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1

Since we know this, we can go to the last instance of the multiply of 4.

For this question, it is 12. 2 more after twelve is 14. Since it is 2, it would be -1.

D. -1 -- This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

Your correct answer will be 6.2

Step-by-step explanation:

First, we line up the decimal points,  0.2 plus 6.0, always add 0 to the number without the decimal.

Last, you just add them, and you will get 6.2

Mark me brainliest and have a good day!

Step-by-step explanation:

180°+63°

=243°

holp it help

Answer:

x = cost of each t-shirt

y = cost of each sweatshirt

Step-by-step explanation:

Given equation:

2x + 2y = 26 (1)

x + 3y = 33 (2)

From (2)

x = 33 - 3y

Substitute x = 33 - 3y into (1)

2x + 2y = 26 (1)

2(33 - 3y) + 2y = 26

66 - 6y + 2y = 26

- 6y + 2y = 26 - 66

-4y = -40

y = -40/-4

y = 10

Substitute y = 10 into (2)

x + 3y = 33 (2)

x + 3(10) = 33

x + 30 = 33

x = 33 - 30

x = 3

Where,

x = cost of each t-shirt = $3

y = cost of each sweatshirt = $10

Answer:

You have gained $43 and the value increased by 3.8%

Step-by-step explanation:

You would 75 times 15 = $1125

then you would do 1125 times 97% = 1091.25

now you would do 1091.25 times 107% = estimation of 1168

then you would do 1168/1125 which is estimated to 1.038 and you would convert that into a percentage = 103.8%

You would do 1168 - 1125 = $43 and 103.8 - 100 = 3.8%

Answer:

yes...

Step-by-step explanation:

Answer:

why was it ‍♂️

All of his grades were down below c level

hehe

=)

Answer: The value of x is 184.

Step-by-step explanation:

According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.

Now calculating the value of x for the given pair of similar​ triangles.

According to the given figure:

24 × (2x - 8) = 45 × (x + 8)

(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)

48x - 192 = 45x + 360

48x - 45x = 360 + 192

3x = 552

x = 184

Thus, the value of x is 184.

Answer:

Step-by-step explanation:

This is an isosceles right triangle as two legs are congruent.

The angle measure of both acute angles (B and C) is same:

9514 1404 393

Answer:

  cos(x) = 0.6

Step-by-step explanation:

First, we need to find UQ.

  UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)

  UQ = 24 cm

Then TQ is ...

  TQ = 1/3UQ = 1/3(24 cm) = 8 cm

And cos(x°) is ...

  cos(x°) = √(1 -sin²(x)) = √(1 -64/100)

  cos(x°) = 6/10 = 3/5

  cos(x°) = 3/5 = 0.6

Answer:

4 Matches

Step-by-step explanation:

According To the Question,

Now, The Total Matches she plays in that time = [tex]\frac{(Total Time Played)}{(Time On Each Match)}[/tex]

Thus, Total Matches = 52 / 13 ⇔ 4 Matches

The approximate areas of the continents (excluding North America) are as follows:

- Australia: 11 million km^2

- Europe: 15 million km^2

- Antarctica: 18 million km^2

- South America: 26 million km^2

- Africa: 44 million km^2

- Asia: 66 million km^2

To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).

1. Australia:

Percentage: 5%

Approximate area: 0.05 * 220 million km^2 = 11 million km^2

2. Europe:

Percentage: 7%

Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)

3. Antarctica:

Percentage: 8%

Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)

4. South America:

Percentage: 12%

Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)

5. Africa:

Percentage: 20%

Approximate area: 0.20 * 220 million km^2 = 44 million km^2

6. Asia:

Percentage: 30%

Approximate area: 0.30 * 220 million km^2 = 66 million km^2

Note: These values are rounded to the nearest million square kilometers.

For more such questions on continents

https://brainly.com/question/28440881

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Answer:

4,8,12 hope that helps heeeeheheʘ‿ʘ

Answer:

You got it! B. x ≤ -7 or x ≥ 2

Step-by-step explanation:

In inequalities, a filled dot means "also including," so the value at which the filled dot is placed is also included in the inequality (hence the "or equal to"). In this case, both red dots (at -7 and 2) are filled, so both values are included in the inequality.

The red portions are part of the inequality. Looking at the arrow going from -7 and pointing to the left, we can tell that that value and the ones smaller than -7* are included, so it would be x ≤ -7.

Looking at the arrow pointing from 2 to the right, it includes 2 and all the numbers to the right of it, so the inequality would be x ≥ 2.

So, the final answer is B. x ≤ -7 or x ≥ 2.

*the value of negative numbers decreases as the numbers themselves increase (-5 is larger than - 36, for example).

Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]

Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]

In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]

Step-by-step explanation:

$ 28.50

minus $ 0.00

FINAL Price » $ 28.50

Note: Sales Tax Not Included

Savings » $ 9.50

Effective % Off » 25%

Answer:

$28.5

Step-by-step explanation:

100% - 25% = 75% (so you don't have to add or subtract anything)

38 * .75 = 28.5

=$28.5

Answer:

13

Step-by-step explanation:

< W = <V            Given

WV = 8              Given

XV = 13              Given

Find XW

In an isosceles triangle if you are given the length of one of the sides opposite one of the two equal angles, then the side opposite the other equal angle is equal to the given side.

In sort XV = 13. < V = <W   XW = 13

Answer

“The LCM of three numbers is 360“ The prime factors of 360 are 2³×3²×5¹. That means:

At least one of the numbers contains 2³ in its factorization list.

At least one of the numbers contains 3² in its factorization list.

At least one of the numbers contains 5 in its factorization list.

“One of the numbers is 40“ The factorization list of 40 is 2³×5, so 1) and 3) are satisfied.

“The GCD of the same numbers is 2“ This implies that all 3 numbers are even, and that at least one number only has one 2.

The candidates for the 2nd number, that has 3², are: 18, 12, 72 (3²×2³), 120, 180, or 360.

The candidates for the 3rd number depends on how many 2s the 2nd number has.

If more than one: 2, 6, 18, 10, 30, 90

If only 1, those plus 4, 8, 12, 36, 72, 20, 40, 120, 180, 360

Answer:

{15, 16} or {-15, -16}

Step-by-step explanation:

Quick solution:

take half of the sum (approx. 240), sqrt(240)=15.5

So the numbers are 15 and 16.  and also the negative equivalents since squares are always positive.

Exact method:

Let

x=smaller integer,

x+1 = next integer.

sum:

x²⁺(x+1)^2 = 481

2x^2 + 2x + 1 = 481

2x^2 + 2x - 480 = 0

x^2 + x -240 = 0

x = 15 or x = -16

so the integers are

either

{15, 16} or {-15, -16}

The sum of the squares of two consecutive integers is 481 will be -15 & -16 and 15 and 16.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Successive numbers are those that follow one another continually, from lowest to biggest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.

Assume 'x' is the number and the successive number is (x + 1).

The sum of the square of the consecutive number is 481. Then the equation of the number is given as,

x² + (x + 1)² = 481

Simplify the equation, then we have

x² + (x + 1)² = 481

x² + x² + 2x + 1 = 481

2x² + 2x - 480 = 0

x² + x - 240 = 0

x² + 16x - 15x - 240 = 0

x(x + 16) - 15(x + 16) = 0

(x + 16)(x - 15) = 0

x = 15, -16

Then the successive numbers are given as,

x + 1 = 15 + 1

x + 1 = 16

x + 1 = - 16 + 1

x + 1 = - 15

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Step-by-step explanation:

Y=x

Y=x+2

Plot graph but not up to scale just for u to understand

Answer:

The last two

Step-by-step explanation:

Scientific notation:

a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8

Answer:

It's 1,3

Step-by-step explanation:

Coordinate plane and x is 1 and y is 3

Answer:

(1,3)

Step-by-step explanation:

The spot where both lines intersect is the solution to the system of equations.

Hope that this helps!

Answer:

(i) 18.4 > 18.04

(ii) 0.7 < 50 > 35

b) 173500

c) 173500

Step-by-s tep explanation:

(i) To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers. Next, we compare the digits place by place starting on the left. 1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0. This means that 18.4 is greater than 18.04.

(ii) Simple less than < greater than > skills.

b) Simple rounding.

c) The answers stays the same; rounding cannot be completed using JUST whole numbers.