1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nadezda [96]
4 years ago
7

MATH GRADE 8 15. a) and b)

Mathematics
1 answer:
Elden [556K]4 years ago
6 0

Answer:   1300 cm³

a) Find the volume of the entire rectangle and subtract the volume of the missing section. Volume = L · w · h

Solid = Rectangle - Missing section  

        =  L · w · h    -   L · w · h  

        = 16 · 10 · 10 - 10 · 6 · 5

        =     1600     -     300

        =             1300

b) Find the volume of each section of the rectangle (base, left wing right wing) and add them. Volume = L · w · h

Solid =   Base       +   Left wing  +    Right wing  

        =  L · w · h    +     L · w · h   +     L · w · h

        = 16 · 10 · 5   +   5 · 10 · 5   +   5 · 10 · 5

        =     800       +     250        +      250

        =                        1300

The answer from (a) is the same as (b) \checkmark




You might be interested in
Dave has $11 to spend on a $6 book and two birthday cards (c) for his friends. How much can he spend on each card if he buys the
mezya [45]

he can spend $2.50 on each card

8 0
3 years ago
Read 2 more answers
A boat takes 55 hours to go 20 miles upstream. It can go 50 miles downstream in the same time. Find the rate of the current and
sergey [27]

We have two unknowns and two equations so we can solve this question.

The two unknowns are C (speed of current) and B (speed of boat)

Our boat traveled 20 miles in 55 hours going upstream which means it traveled .36 miles in 1 hour; in other words .36mph . Our boat traveled 50 miles in 55 hours going downstream; in other words .909mph .

We can assume that because the boat managed to cover distance in the direction it was headed upstream it must have been going faster than the current so it moved at the speed of the boat minus the speed of the current and when it was going downstream it moved at the speed of the boat plus the speed of the current.

This gives us;

.36mph = B - C

.909mph= B + C

We solve for this system of equations and it simplifies to 1.27mph=2B

and B= .636mph

Plug this into one of the equations and we get that C= .2727mph

This means that the boat moved at .363mph and the current moved at .2727mph.

6 0
3 years ago
Find the distance between the points: (–6, 7) and (–1, –5). In your final answer, include the formula and calculations that you
expeople1 [14]

Answer: The distance between the points (-6,7) and (-1,-5) is 13 units.

Solution:

P1=(-6,7)=(x1,y1)→x1=-6, y1=7

P2=(-1,-5)=(x2,y2)→x2=-1,y2=-5

Distance between points P1 and P2: d=?

d=sqrt [ (x2-x1)^2 + (y2-y1)^2 ]

Replacing the knwon values:

d=sqrt [ (-1-(-6))^2 + (-5-7)^2 ]

d=sqrt [ (-1+6)^2 + (-12)^2 ]

d=sqrt [ (5)^2 + 144 ]

d=sqrt [ 25 + 144 ]

d=sqrt [ 169 ]

d=13

4 0
3 years ago
Read 2 more answers
Is 40% of 90 closer to 10 or 30?
shtirl [24]

Answer:

Closer to 30.

Step-by-step explanation:

To answer this first find 40% of 90.

90*0.4=36

0.4 is the same as 40%

Hope this helps!

If not, I am sorry.

4 0
3 years ago
Jake, a varsity swimmer, is training for his upcoming season and needs to accelerate his post-exercise recovery rates. He trains
Rasek [7]

Answer:

high glycemic carb with some protein

Step-by-step explanation:

Food like white bread made from dextrose supplement and chocolate milk that contains some protein for muscle repair.

Due to the spongelike characteristic of the muscle would make it soak up glucose from high glycemic carb.

3 0
4 years ago
Other questions:
  • Given g(x)= 10x + 2, find g(2)
    15·2 answers
  • round the quotient of 647.21 and 3.4 to the nearest hundredths place. give your answer to three decimal places.
    14·1 answer
  • A parallelogram with one right angle is guaranteed to be a
    11·1 answer
  • The cost of renting a canoe is $5.25, plus $0.50 per hour for the time that the canoe is out. Which equation could be used to fi
    10·2 answers
  • What type of relationship does a correlation coefficient of r = 0.45 indicate?
    8·1 answer
  • X2+10x+16 Help Needs factorising It is not 8 and 2
    12·1 answer
  • Each interior angles of a polygon measures 157.5. What is n, the total number of sides in this polygon
    12·1 answer
  • Which expression is equivalent to 2(x+7)-18+4/5 ?
    8·1 answer
  • 6500 divide by 100. step by step​
    13·1 answer
  • I have no idea how to delete this
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!