5/3
Csc is equal to 1/sin
Sin= opposite/hypotenuse
So just take the inverse of what sine would be
Sin= 3/5
So Csc=5/3 :)
Hello!
You can write down what the possible numbers their are
The numbers greater than 2 are 3, 4, 5, and 6
The numbers that are odd are 1, 3, and 5
List all the numbers out in a row
3, 4, 5, 6, 1, 3, 5,
Eliminate one of the numbers that repeat
3, 4, 5, 6, 1
You put the amount of answers of the total amount of outcomes
The answer is 5/6
Hope this helps!
Answer:
B. 1/3 or 33.3%
Step-by-step explanation:
<em>H-</em> 1 ,2 ,3, 4, 5, 6
<em>T-</em> 1, 2, 3, 4, 5, 6
Multiples of <em>3:</em> 3, 6, 9, 12, etc..
<em>2/6 simplified is 1/3 </em>
So, the probability that the penny will land on heads and the number cube will land on a multiple of 3, is 1/3 or 33.3%
Answer:
x = 34
Step-by-step explanation:
∠ PSR and ∠ TSU are vertical angles and congruent, then
∠ PSR = 4x, thus ∠ PSQ = x
The exterior angle of a triangle is equal to the 2 opposite interior angles.
∠ SQR is an exterior angle of Δ PQS , thus
x + x = 68
2x = 68 ( divide both sides by 2 )
x = 34
The question is missing the figure which is attached below.
Answer:
1620 cm³
Step-by-step explanation:
Given:
The two prisms are similar.
Volume of the smaller prism (V₁) = 60 cm³
Length of the smaller prism (l₁) = 5 cm
Length of the larger prism (l₂) = 15 cm
Now, we know that, for similar figures, the dimensions of the figure are in proportion to each other. Therefore,
This means that, the smaller figure is dilated by a scale factor of 3.
Hence, 
Volume of smaller prism is given as:
Volume of larger prism is given as;
![V_2=l_2b_2h_2\\\\V_2=3l_1\times 3b_1\times 3h_1\\\\V_2=27(l_1 b_1h_1)\\\\V_2=27\times 60=1620\ cm^3\ \ \ \ [\because\ l_1b_1h_1=60\ cm^3]](https://tex.z-dn.net/?f=V_2%3Dl_2b_2h_2%5C%5C%5C%5CV_2%3D3l_1%5Ctimes%203b_1%5Ctimes%203h_1%5C%5C%5C%5CV_2%3D27%28l_1%20b_1h_1%29%5C%5C%5C%5CV_2%3D27%5Ctimes%2060%3D1620%5C%20cm%5E3%5C%20%5C%20%5C%20%5C%20%5B%5Cbecause%5C%20l_1b_1h_1%3D60%5C%20cm%5E3%5D)
Therefore, the volume of the larger rectangular prism is 1620 cm³.
