7. A hippopotamus weighs 1.5 tons. What is its weight in ounces

Answer:

960 cm²

Step-by-step explanation:

Area of trapezoid: (a + b)(h)/2

A = (20 + 40)(32)/2

A = 60(32)/2

A = 1920/2

960 cm²

Answer:

25

Step-by-step explanation:

Answer:

50.24 square yards

Step-by-step explanation:

Area of the circle

Answer:

3/16

Step-by-step explanation:

Prove that sin 20 ×sin40 × sin60 × sin80 = 3/16.

We have to prove sin 20 × sin40 × sin60 × sin80 = 3/16.

Consider LHS

sin 20 × sin 40 × sin60 × sin80

Sin Values

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.

We know the trigonometric values of sin function

Proof

Consider LHS

sin 20 × sin 40 × sin60 × sin80

= sin60 [sin20 × sin40 × sin80]

= √3/2[sin20 × sin(60 – 20) × sin(60 + 20)]

= √3/2[sin 3(20)/4]

= √3/2[sin 60/4]

= √3/2[√3/2 × 4]

= √3/2 × √3/8 =  3/16

∴ LHS = RHS

Hence proved

Answer:

[tex]3+2k[/tex]

Step-by-step explanation:

[tex]\frac{1}{5}(15+10k)=\frac{1}{5}(15)+\frac{1}{5}(10k)=3+2k[/tex]

Answer:

3 + 2k

Step-by-step explanation:

Given that:

⅕ (15+10k)

Using the distributive property which is:

a × (b + c) = a × b + a × c

Which also means: Remove Parentheses

Thus we have:

⅕ (15+10k)

⇒ ⅕ × 15+⅕ ×10k

⇒ ¹⁵⁄₅ + ¹⁰ᵏ⁄₅

⇒ 3 + 2k

Hence, the answer to equivalent expression is 3 + 2k.

Kavinsky

Answer:

Angle BFC is complimentary to AFB. Its measure is 12.

Step-by-step explanation:

Complementary angles add up to 90 degrees. When these two angles combine, it adds up to 90. 90-78 = 12. This angle's measure is 12.

1 mile per every 15 minutes

or 4 mph

Answer:

16 should be the correct answer

Answer: the answer is 45

Step-by-step Step-by-step explanation:

so it says a pilot goes from 0 to 8 and then two images above so you add to to eat and then you add 5 to 2:30 for me to 522 the artistic 24 + 27 + 5 then you answer 8 + 2028 and then you add 5 + 1 + 2 + 2 + 4 + 3 + 3 + 4 + 1 + 5 + 16 + 18 and you get 45

Answer:

A, A, B, B

Step-by-step explanation:

Answer: 4 pounds

Step-by-step explanation:

      First, we will see how much the coffee cost by subtracting what was left by the total gift card.

             $90 - $59.64 = $30.36

      Now, we will divide how much the coffee cost by how much one pound costs. This will give us how many pounds she bought, and the answer to your problem

             $30.36 / $7.59 = 4

                 She bought four pounds of coffee.

x=2

Step-by-step explanation:

y=7-2x -------(1)

6y=9x

y=9x/6 = 3x/2------(2)

Now,

Equation equation 1 and 2

7-2x= 3x /2

2(7-2x)=3x

14-4x=3x

14=4x+3x

14=7x

14/7=x

x=2

Answer:

4 and 9

Step-by-step explanation:

Composite numbers are whole numbers that can have more than 2 factors.

Answer: 495

Step-by-step explanation:

Since the foil covers the object and does not fill it, this problem is a matter of surface area rather than volume. Surface area is finding the area of all the faces, and adding them up.

Since we know the two triangular ends are not covered, this actually makes the problem easier.

Going with our definition of surface area above, we do:

(16.5 * 13) + (16.5 * 12) + (16.5 * 5) = 495

Our answer is 495

Answer:

C: 495ft²

Step-by-step explanation:

You need to calculate and add the surface area of the three rectangular faces of this prism. The two triangular ends are not covered in the foil as stated in the question. You find this like any other rectangle by multiplying the length by the width. (a = lw)

Let's start with the bottom rectangle, it has dimensions of 5x 16.5ft

5 * 16.5 = 82.5

Now the rectangle on the right side.

13 * 16.5 = 214.5

Now the left or back side rectangle.

12 * 16.5 = 198

Now add these values together

82.5 + 214.5 + 198 = 495ft²

Answer:

1.) 1169

2.) 7

3.) 167 students/year

4.) 1879

5.) 1879+167t

6.) 4050

Step-by-step explanation:

1.) Find the difference between the number of students in 2002 and 2009:

[tex]3382-2213=1169[/tex]

2.) Find the difference in the years:

[tex]2009-2002=7[/tex]

3.) To find the average growth, find the change between 2002 and 2009 and divide by 7.

[tex](3382-2213)/7=y\\1169/7=y\\167=y[/tex]

4.) To find the population of the students in the year 2000, we need to subtract the average growth time and the difference of years from 2213.

[tex]2213-167(2002-2000) = y\\2213-334=1879[/tex]

5.) Taking the equation above, and changing it to match the requirements, we get:

[tex]P = 1879+167t[/tex]

6.) Now find the difference between 2013 and 2000, and substitute for t to get:

[tex]P = 1879+167(2013-2000)\\P = 1879+167*13\\P = 4050[/tex]

Answer:

see explanation

Step-by-step explanation:

the area (A) of a trpezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

b₁, b₂ are the parallel bases and h the perpendicular height between them

(1)

b₁ = 12, b₂ = 8 , h = 5

A = [tex]\frac{1}{2}[/tex] × 5 × (12 + 8) = 2.5 × 20 = 50 cm²

(2)

b₁ = 6 , b₂ = 4 , h = 3

A = [tex]\frac{1}{2}[/tex] × 3 × (6 + 4) = 1.5 × 10 = 15 cm²

(3)

b₁ = 7 , b₂ = 4 , h = 4

A = [tex]\frac{1}{2}[/tex] × 4 × (7 + 4) = 2 × 11 = 22 cm²

Answer:

see explanation

Step-by-step explanation:

the area (A) of a trpezoid is calculated as

A = \frac{1}{2}21 h (b₁ + b₂ )

b₁, b₂ are the parallel bases and h the perpendicular height between them

(1)

b₁ = 12, b₂ = 8 , h = 5

A = \frac{1}{2}21 × 5 × (12 + 8) = 2.5 × 20 = 50 cm²

(2)

Answer:

x²+14x+33<0.

Step-by-step explanation:

1) according to the condition x=-11 and x=-3 are zeros of the function y=ax²+bx+c;

2) if -3;-11 are zeros, then (-3)*(-11)=c ( already a=1; b=14). Then

3) x²+14x+33<0.

Sum of two interior angles=Exterior angle

Step-by-step explanation:

[tex] \tan(31) = \frac{x}{33} \\ x = 33 \tan(31) \\ x = 19.82840042791 \\ x = 19.83[/tex]

Answer:

x = 19.8

Step-by-step explanation:

You want to use tangent, since you are trying to find the opposite side and know the adjacent side to the angle.

tan = opposite/adjacent

31tan = x/33

Multiply both sides by 33

33(31tan) = (33) x/33

33(31tan) = x

Find the tan of 31° using a scientific calculator.

tan 31° is about 0.6

Solve for x

33(0.6) = x

x = 19.83

rounded to the the nearest tenth

x = 19.8

Answer:

7 1/5

Step-by-step explanation:

12x3/5=36/5.

The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

we have to Multiply 12•3/5

i.e. 12 * 3 /5

= (12*3 )/5

=36/5

now, as we have to express it as a mixed number,

we get,

36/5 = 7 1/5

Hence, The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ7

The answer is no, because the Rank Theorem tells us that rank A + dim Nul A = 12 . Since the rank can be at most 10, the null space has to have dimension at least two.

Answer:

it would range between 11.28379... to 13.819765...

Step-by-step explanation:

the circle's area formula is pi * radius^2

so you make to equation, plugging the 100 and 150 into the circle's area

you get square root of (100/pi) which gets 11.28379... for the area of 100

you do the same with 150 to get square root of (150/pi) which gets 13.819765...

those are the diameter of the circle since the diameter is double the radius which i already multiplied afterwards. so if you need the radius divide the number ive given you

Answer:

B. 2[tex]\pi[/tex]r  

Step-by-step explanation:

Answer:

A.  1/2.

Step-by-step explanation:

After the odd digit is taken out there are 8 digits left,

and of these 4 are even so

the answer is 4/8 = 1/2.

Tables A, B, and C.

The only non-linear graph is D. Do not overthink questions like this, this is where schools try to trick you. You are given plot points, plot them and see if they are straight lines (linear) on the graph. If there is a bend (non-linear or peyronie's disease).

Answer:    12    x    15= 180 cuadrados

juas juas juas 180  +   180  = 360


15 x 15 cm = 360

Step-by-step explanation:

Answer:

Its [tex]2,700cm^{2}[/tex]

Ste,p-by-step explanation:

Hideki recognizes a $17,490.06 revenue.

Given that on January 1, 2022 Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years, and the effective interest rate for a note of this type is 15 percent, to determine how much revenue does Hideki recognize on January 1, 2022 the following calculation must be made:

Therefore, Hideki recognizes a $17,490.06 revenue.

Learn more about revenue in https://brainly.com/question/14695611

Answer:

Hideki recognizes a $17,490.06 revenue.

Step-by-step explanation:

Answer:

140% increase

Step-by-step explanation:

Percent increase = [(final - initial) ÷ initial] · 100

[(228 - 95) ÷ 95] · 100

[133 ÷ 95] · 100

1.4 · 100

140

Answer: 12-2r

Step-by-step explanation:

3r+12-5r

= -2r+12 or 12-2r

Answer:

-2r + 12

Step-by-step explanation:

simplify 3(r + 4) - 5r

3(r + 4) - 5r <== distribute first

3(r) + 3(4) - 5r

3r + 12 - 5r <== combine like terms

-2r + 12 <== final answer

Hope this helps!

Answer:

So 18+-10=8, 18+-8=10. So the answer is 8 I guess.  

Answer:

See below ↓↓↓↓↓↓

Step-by-step explanation:

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8.

9.

10.