Answer:
2:3=14:21
Step-by-step explanation:
2+2=5
35/5=7
7*2=14
7*3=21
<h2>Hey there!</h2>
<h3>At first we have find the value of "y",</h3>
<h3>Finding the value of "y"</h3>
Here,
8x + y = 23 - 10x - y = - 27
10(8x + y) = 23 × 10 8 (- 10x - y) = - 27 × 8
80x + 10y = 230 ---> (i) - 80x - 8y = - 216 ----> (ii)
<h3>By elimination method,</h3>
<h3>Equation (i) - (ii)</h3>
(80x + 10y) - (-80x - 8y) = 230 - (-216)
=> 80x + 10y + 80x + 8y = 230 + 216
=> 10y + 8y = 446
=> 18y = 446
=> y = 446/18
=> y = 24.7
<h3>Putting the value of "y" in Equation (i)</h3>
80x + 10y = 230
=> 80x + 10 × 24.7 = 230
=> 80x + 247 = 230
=> 80x = 230 - 247
=> 80x = -17
=> x = -17/80
=> x = - 0.21
<h3>Therefore the values of "x" and "y" are</h3>
x = -0.21 and y = 24.7
<h2>Hope it helps </h2>
6.166666666666667
is the hole answer
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
