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shtirl [24]
3 years ago
13

in the 30-60-90 triangle below side shas a length of ___ and the hypotenuse has a length of __ http://media.apexlearning.com/Ima

ges/200705/25/684f3236-eee1-4585-a6c6-9985304e31cc.gif
Mathematics
1 answer:
pav-90 [236]3 years ago
4 0
Below length is square root of 2*3
hypotenuse is 2
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Question 1 1.1 Jane wants to make Spaghetti Bolognese for her family of 5 people, including herself. The following is a list of
Lelechka [254]

Answer:

\begin{gathered} 1.1.1.300g\cdot\frac{0.001\operatorname{kg}}{1g}=0.3\operatorname{kg} \\ 1.1.2.400g\cdot\frac{0.001\operatorname{kg}}{1g}=0.4\operatorname{kg} \\ 1.1.3.500ml\cdot\frac{0.001lt}{1ml}=0.5\text{ lt} \\ 1.1.4.769.69\cdot0.001=0.769\text{ liters} \end{gathered}

Step by step explanation:

1.1.1 We know that 1kg is equivalent to 1000g, then we can convert:

300g\cdot\frac{0.001\operatorname{kg}}{1g}=0.3\operatorname{kg}

1.1.2 For 400g of tomatoes:

400g\cdot\frac{0.001\operatorname{kg}}{1g}=0.4\operatorname{kg}

1.1.3. For 500ml of water, convert this into liters. We know that a 1ml is 0.001 lt

500ml\cdot\frac{0.001lt}{1ml}=0.5\text{ lt}

1.1.4. Since capacity is represented by the following expression:

\begin{gathered} C=\pi\cdot\text{radius}\cdot\text{radius}\cdot\text{height} \\ C=\pi\cdot7\cdot7\cdot5=769.69cm^3 \end{gathered}

We know that 1 cubic centimeter is equal to 0.001 liters.

769.69\cdot0.001=0.769\text{ liters}

8 0
1 year ago
What is the first step in solving this system of equations by elimination? 5a + 3b = –9 2a – 5b = –16
Elis [28]
<span>Multiply one of the equations so that both equations share a common complementary coefficient.
       In order to solve using the elimination method, you need to have a matching coefficient that will cancel out a variable when you add the equations together. For the 2 equations given, you have a huge number of choices. I'll just mention a few of them.
   You can multiply the 1st equation by -2/5 to allow cancelling the a term.
   You can multiply the 1st equation by 5/3 to allow cancelling the b term.
   You can multiply the 2nd equation by -2.5 to allow cancelling the a term. You can multiply the 2nd equation by 3/5 to allow cancelling the b term.
   You can even multiply both equations.
For instance, multiply the 1st equation by 5 and the second by 3. And in fact, let's do that. 5a + 3b = –9 2a – 5b = –16 5*(5a + 3b = -9) = 25a + 15b = -45
   3*(2a - 5b = -16) = 6a - 15b = -48
       Then add the equations 25a + 15b = -45
   6a - 15b = -48
   =
   31a = -93
   a = -3
       And then plug in the discovered value of a into one of the original equations and solve for b.</span>
5 0
3 years ago
What is the substitution should be used to rewrite x^8 -3x^4 + 2 =0
fenix001 [56]
Get into ax²+bx+c=0 form

subsitute u=x⁴

x⁸-3x⁴+2=0
(x⁴)²-3(x⁴)+2=0
u²-3u+2=0
factor
(u-2)(u-1)=0
set to zero

u-2=0
u=2

u-1=0
u=1


wait, u=x⁴

2=x⁴
\sqrt[4]{2}=x

1=x⁴
+/-1=x


the subsitution is u=x⁴
and the possible values for x are -1, \sqrt[4]{2}=x, and 1
7 0
3 years ago
What is the Volume of the square pyramid? (Round to the nearest tenth as needed)
Orlov [11]
<h3><u>given</u><u>:</u></h3>

base= 25 mm

height= 28 mm

<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>

the volume of the square pyramid.

<h3><u>solution</u><u>:</u></h3>

<u>volume =  {a}^{2}  \frac{h}{3}</u>

<u>v =  {25}^{2}  \frac{28}{3}</u>

<u>v = 5833.33333 {mm}^{3}</u>

<u>v = 5833.3 {mm}^{3}</u>

8 0
2 years ago
If 3 dogs were 2 ft and 4 were 5 what would be the total height of all of them together
seraphim [82]

Answer:

26 i think

Step-by-step explanation:

since the 3 dogs are 2 feet tall you would multiply them then multiply 4 by 5 and get 20 and 3x2 is 6 you add it up and get 26

7 0
3 years ago
Read 2 more answers
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