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Mama L [17]
3 years ago
11

First time doing mensuration, can someone enlighten me on how to find the height of the hemisphere and cone?

Mathematics
2 answers:
muminat3 years ago
8 0

Answer:

3 cm and 4 cm.

Step-by-step explanation:

The height of the hemisphere is the same as its radius, 3 cm.

The height of the cone = 7 - 3 = 4 cm.

Alina [70]3 years ago
4 0

Answer:

Step-by-step explanation:

volume=1/3\pi  r^2h +2/3\pi r^3[

tex]=1/3\pi *9*4+2/3\pi  *3^3[/tex]

=12\pi +18\pi= 30 \pi volume

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Brian has a gift card with a $250 balance. He buys several video games that cost $33 each. After the purchases, his gift card ba
Leno4ka [110]

Answer: x=6.6969

Step-by-step explanation:

250-(33x)=29

-33x=-221

x=6.6969

5 0
3 years ago
Read 2 more answers
David, Egil and Frances share money in the ratio 2:7:9. Frances gets ?80 more than David. Explain how you know Egil gets ?80.
Natalija [7]

Step-by-step explanation:

We have been given that David, Egil and Frances share money in the ratio 2:7:9.

Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.  

We are told that Frances gets $80 more than David. So we can write this information in an equation as:

9x=2x+80

Now let us solve for x.

9x-2x=80

7x=80

x=\frac{80}{7}

Now let us substitute x=\frac{80}{7} in 7x (amount of money that Egil gets).

\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}

Upon cancelling out 7 from numerator and denominator we will get,

\text{ Amount of money that Egil will get}=80  

Therefore, Egil will get $80.    

6 0
3 years ago
Someone please help!
valentina_108 [34]

Answer:

x = 33

Step-by-step explanation:

8 0
2 years ago
How do you go about doing this surface area problem?
hammer [34]
Break it down into 2-Dimensional shapes. Then add the areas together.

From the picture you can see;
front & back rectangles are 2*(4 x 8) = 64 m²
2 side rectangles are 2*(4 x 12) = 56 m²
2 triangular front & back pieces are (1/2)*8*3 = 12 m²
2 roof rectangles are 2*(5 x 12) = 120 m²

total Surface area = 64 m² + 56 m² + 12 m² + 120 m²
= 252 m²

For the volume; break it up into 3-dimenssional shapes and add the volumes together.

From the picture you can see;
Rectangular box volume is 4 x 8 x 12 = 384 m³
Triangular roof volume is area of front triangle multiplied through the length. (1/2)*8*3* 12 = 144 m³

Total volume = 384 m³ + 144 m³
= 528 m³
5 0
3 years ago
A Galapagos cactus finch population increases by half every decade. The number of finches is
Angelina_Jolie [31]

Answer:

The number of fringes at d=-2 is given as 20.

Step-by-step explanation:

Question

A Galapagos cactus finch population increases by half every decade. The number of finches is modeled by the expression

,

where d is the number of decades after the population was measured. Evaluate the expression for d = −2

Given :

The number of  finches is modeled by the expression  :

⇒ 45\cdot1.5^d

where d is the number of decades after the population was measured.

To evaluate the expression for d=-2

Solution:

In order to evaluate the given expression to find the number of finches at d=-2, we will plugin -2 for d in the expression and simplify it.

Plugging in d=-2 in the expression:

⇒ 45\cdot 1.5^{-2}

Using negative exponent property. [a^{-x}=\frac{1}{a^x}

⇒ 45\cdot \frac{1}{1.5^2}

⇒ 45\cdot \frac{1}{2.25}

⇒ 20   (Answer)

Thus, the number of fringes at d=-2 is given as 20.

This means the number of fringes two decades ago was 20.

6 0
3 years ago
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