Answer:
150
Step-by-step explanation:
Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that
y=ksqrt((x+2)^2)
We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.
250=ksqrt((8+2)^2)
250=ksqrt((10)^2)
250=k10
250/10=k
25=k
So for any pair (x,y) we have the relation y=25((x+2)^2).
We are asked to find y when x=4.
y=25((4+2))^2
y=25(6)
y=150
Test to see if y is proportional to sqrt((x+2)^2)
For the given points: 250/150=10/6
The equation is true so we're great.
Answer:
Statement 1: Quadrilateral PQRT; line QSV; line PTV line QV bisects line RT, and line OR is parallel to line PV
Statement 3: angle QSR is congruent to angle VST
Statement 5: Triangle RSQ is congruent to angle TSV
Reason 1: Given
Reason 2: If a line bisects a segment, then it divides the segment into two congruent segments.
Reason 4: If two lines are parallel, then the alternate interior angles are congruent.
Step-by-step explanation:
The first statement will always be your given statements.
Answer:
your answer would be 78
Step-by-step explanation:
78
9/702
- 63
_____
72
- 72
_______
0
Answer:
16.48
Step-by-step explanation:
Answer:
- about 243.9 cm³
- 35828 4/7 cm² = 3 102/175 m²
Step-by-step explanation:
<h3>1.</h3>
The 8-cm diameter sphere has a radius of 4 cm. The volume of it is given by ...
V = 4/3πr³ = 4/3π(4 cm)³ = 256/3π cm³
The 8-cm cube has a volume of ...
V = s³
V = (8 cm)³ = 512 cm³
The volume of the empty space is the difference of these volumes:
space = 512 cm³ -256/3π cm³ = 256(6 -π)/3 cm³
space ≈ 243.9 cm³
__
<h3>2.</h3>
The area of a hemisphere is twice the area of a circle with the same radius. Then the area of the top and bottom of the birdbath will be 2+1 = 3 times the area of a circle with radius 30 cm.
top+bottom area = 3 × πr² = 3 × 22/7(30 cm)² = 8485 5/7 cm²
The lateral area of the cylinder is ...
LA = 2πrh
= 2(22/7)(30 cm)(145 cm) = 27342 6/7 cm²
Then the total surface area of the birdbath is ...
total area = top+bottom area + lateral area
total area = 8485 5/7 cm² +27342 6/7 cm² = 35828 4/7 cm²
= 3 102/175 m²
