First question.We will build up the 3-dimensional object from the dimensions shown in the view above. In doing this, the object is as shown in figure 1. So, we need to find the volume of this object. Let's cut off this object into two objects, so in doing this we can find the whole volume as the sum of the volume in green plus the volume in red (both are cubes), so:
So the answer is G.
Second questionThe answer is D. Let's analyze it:
Given that r represents the radius of the pizza and n the number of slices, so if we substitute r in this equation, then the values for n are:
These are the values of n shown in the table above.
x-intercept = (15, 0) y-intercept = (0, 3)
slope (m) = (y₂ - y₁)/(x₂ - x₁) = (0 - 3)/(15 - 0) = -3/15 = -1/5
Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is one of the given points
y - 0 = (-1/5)(x - 15)
-5y = x - 15
x + 5y = 15
Answer: x + 5y = 15
The equation can be used to find the measure of ∠BAC ⇒ 2nd answer
Step-by-step explanation:
Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle
The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are
In Δ ABC
∵ ∠ BCA is a right angle
∴ The hypotenuse is AB
∵ The adjacent side to ∠CAB is AC
∵ The opposite side to ∠CAB is BC
∵ AB = 13 units ⇒ hypotenuse
∵ CB = 12 units ⇒ opposite
∵ AC = 5 units ⇒ adjacent
- Let us find the trigonometry ratios of angle BAC
∵ m∠CAB is x
∵
∴
∴
∵
∴
∴
∵
∴
∴
The equation can be used to find the measure of ∠BAC
Learn more:
You can learn more about the trigonometry ratios in brainly.com/question/4924817
#LearnwithBrainly
CL.1.142):
A):
x5 ==> 4 boxes = 3ft <==== x5
20 boxes = ? ft
20 boxes is 15 ft. high
B): x3 ===> 4 boxes = 3ft. <==== x3
? boxes = 9ft.
12 boxes will fit in one stack.
c): CL.143
Perimeter = 15 + 29 + 9 + 11 + 6 + 18 =====> 88m
A1 = b * h
(18)(15)
270m^2
A2 = b * h
(11)(9)
99
Total Area ======> 270 + 99 ======> 369m^2
CL.1-144
1/4 + 1/4 + 1/5 = 5/20 + 5/20 + 4/20 ====> 14/20
1/4 * 5/5 =====> 5/20
1/5 * 4/4 =====> 4/20
14/20 + ?/20 = 20/20
? = 6 Missing Section
6/20 ======> 3/10
CL-1.145
A): 40/100 = 4/10 ====> 2/5
0.4 ========> 40%
B): 1/6 ======> .00000
0.16 (Repeating 6) ======> 16.6%
C): 37.5/100 = 375/1000 =======> 3/8
0.375 =========> 37.5%
CL-1.146
ADD: 1/6 + 1/2 show all steps:
1/6 + 1/2
1/6 + 3/6
1 + 3 / 6
4/6 =======> 2/3 =======> Decimal: =======> 0.666667
Hope that helps!!!! : )