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2 years ago

Help please, 90-60-30

Mathematics

1 answer:

quester [9]2 years ago

8 0

Answer:

v = $\sqrt{2}$ /2

u = $\sqrt{6}$ /2

Step-by-step explanation:

$\sqrt{2}$ is across from the 60 degree angle so the side across from 30 degrees is half that

the hypotenuse is the product of the side opposite 30 degrees and $\sqrt{3}$

so:

$\sqrt{3}$ × $\sqrt{2}$ /2 = $\sqrt{6}$ /2

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A rectangular prism is 7 cm long, 4 cm wide and 4 cm tall. How many 2 times 2 times 2 cm cubes can the prism be cut into? What i

Fantom [35]

Answer: The number of 2 times 2 times 2 cm cubes is 14. The total surface area of all the 2 times 2 times 2 times cm cubes is 336 cm square. The total volume of all the 2 times 2 times 2 times cm cubes is 112 cm cube.

Explanation:

It is given that the A rectangular prism is 7 cm long, 4 cm wide and 4 cm tall.

The volume of rectangular prism is,

$V_1=l\times b\times h$

$V_1=7\times 4\times 4$

$V_1=112$

Therefore, the volume of rectangular prism is 112 cm square.

The volume of cubes is,

$V_2=a^3$

$V_2=(2)^3$

$V_2=8$

The number of cubes in the rectangular prism is,

$N=\frac{V_1}{V_2} =\frac{112}{8} =14$

Therefore, the number of cubes is 14.

Total surface area of a cube is,

$A=6a^2$

$A=6(2)^2$

$A=24$

Total surface area of all cubes is,

$14\times A=14\times 24=336$

Therefore the total surface area of all cubes is 336 cm square.

Total volume of all cubes is equal t the volume of rectangular prism, i.e, 112 cm cube.

5 0

3 years ago

The results of a survey are shown in the pie chart below and the survey 28 students say their favorite dessert is ice cream how

Rainbow [258]

Answer:

12 students.

Step-by-step explanation:

The complete question would be:

If ice cream is the last dessert, then we can solve for how many percent of the students like ice cream. If we add the 4 desserts percent, it should be equal to 100%

Pie : 15%

Candy : 23%

Cake : 27%

Pie% + Candy% + cake% + ice cream% = 100%

15% + 23% + 27% + Ice cream% = 100%

65% + Ice cream% = 100%

Ice cream% = 100% - 65%

Ice cream % = 35%

Percent is a way of saying how many out of a 100. Before we can tell how many students like pie, we need to figure out how many students were surveyed.

It says here that 35% of them like ice cream and among the students, 28 students like ice cream. This means that 28 is 35% of a number, which will be the number of students surveyed.

So as a fraction:

$35\% = \dfrac{35}{100}$

We need to find a ratio that is proportional to that, with 28 as the part of the whole.

$\dfrac{35}{100} = \dfrac{28}{x}\\\\Cross-multiply\\\\35x = 28(100)\\\\35x = 2800\\\\Divide\;both\;sides\;by\;35\\\\\dfrac{35x}{35} = \dfrac{2800}{35}\\\\x=80$

So that is the number of students survey. Now to look for how may people like pie, we find what is 15% of 80. So we find the part of the whole this time:

$\dfrac{15}{100}=\dfrac{x}{80}\\\\15(80)=100x\\\\1200 = 100x\\\\\dfrac{1200}{100}=\dfrac{100x}{100}\\\\12 = x$

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3 years ago

How many groups can divided into 5/8

Liono4ka [1.6K]

Answer:

0, because 5 divided by 8 is 0.625. 0.625 is not a whole number. 5/8 = 0.625

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3 years ago

What is the range of the function y= /x+5 ? y2-5 y20 y2 15 O O y25

maksim [4K]

I think the answer isY2-5

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3 years ago

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Ann [662]

Answer:

The third one(-20+(n-1)*)

Step-by-step explanation:

It's correct because when you plug in one of the numbers in the list, it makes the equation equal. Example Below.

n=4

n=-20+(n-1)8

4=-20+(4-1)8

4=-20+3*8

4=-20+24

4=4

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3 years ago