Answer:
7.068583471 km ^2
Step-by-step explanation:
pi x radius² is area
pi x 1.5² = the answer
<u>Finding x:</u>
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
<u>Finding ∠RUT:</u>
We can see that:
∠RUT = ∠RUS + ∠TUS
<em>Since we are given the values of ∠RUS and ∠TUS:</em>
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
<em>We know that x = 6:</em>
∠RUT = 13(6)- 4
∠RUT = 74°
Answer:
15 nuts do not get found.
Step-by-step explanation:
Given that Of a squirrel's hidden nuts, for every 5 that get found, there are 3 that do not get found.
Total number of nuts squirrel had hidden = 40
Proportion of nuts not found to total = 3/(3+5) = 3/8
Hence out of 40, nuts not found =3/8(40) = 15 nuts.
15 nuts would not be found and 25 nuts would be found if squirrel had hidden in total 40 nuts.
This is because the proportion of found:unfound = 5:3
Hence 25:!5 =5:3 satisfies this
15 nuts are not found.
Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that,
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So,
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³
Answer:
168 cubic inches
Step-by-step explanation:
The parameters given are:
four 2 in. platys, seven 1 in. guppies, and a 3 in. loach,
Four 2 inches platys = 4 × 2 = 8 inches
Seven 1 inches guppies = 7 × 1 = 7 inches
A 3 inches leach = 3 inches
The smallest capacity tank you can buy will be
V = 8 × 7 × 3
V = 168 cubic inches
Therefore, the smallest capacity of tank you can buy is 168 cubic inches
