Answer:
<h2>a. V = 420 cm³</h2><h2>b. V = 444 in³</h2><h2>c. V = 108 cm³</h2><h2>d. V = 324 m³</h2>Step-by-step explanation:
We have the rectangular prisms.
The formula of a volume of a rectangular prism is:
l - length
w - width
h - height
==========================================
Look at the picture.
a.
Two congruent rectangular prisms 14cm × 3cm × 5cm.
b.
One rectangular prism 15in × 4in × 6in and next 7in × 4in × 3in:
c.
One rectangular prism 10cm × 3cm × 2cm and next 4cm × 3cm × 4cm:
d.
One rectangular prism 10m × 3m × 6m and next 8m × 3m × 6m:
Answer:
Step-by-step explanation:
A right angled triangle is given to us and we would like to find out the value of sin(A) .
From the triangle we can see that the measure of angle BAC is 30° . Therefore ,
On using sin both sides ,
As we know that the value of sin30° = 1/2. So;
Simplify by converting it into decimal ,
<u>Hence</u><u> </u><u>option</u><u> </u><u>B</u><u> </u><u>is</u><u> </u><u>correct</u><u> </u><u>.</u>
And we are done!
Answer:
120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.
Step-by-step explanation:
We are given that a candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate.
Let the amount of 30% fat-content chocolate be 'x' and the amount of 40% fat-content chocolate be 'y'.
So, according to the question;
x + y = 150 ------------ [equation 1]
and
x = 120 kg
Now, putting the value of x in equation 1, we get;
x + y = 150
120 + y = 150
y = 30 kg
Hence, 120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.