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balu736 [363]
3 years ago
7

Okay this is a new problem I need help with tryna set it up or what’s the answer

Mathematics
1 answer:
Kamila [148]3 years ago
3 0
Volume of a rectangular prism: l × w  × h 

Split the prism into two rectangular prisms.

We have a rectangular prism with side lengths of 8 by 7 by 5.
The other prism has side lengths of 8 by 3 by 8.

Plug these numbers into the formula:
8 × 7 × 5 = 280
8 × 3 × 8 = 192

Now add up both volumes of the prisms to find the volume of the entire rectangular prism.

280 + 192 = 472

The volume of the figure is 472 yards³.
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Is 0 an integer? i need help
snow_lady [41]

Answer:

Yes it is an integer

Step-by-step explanation:

4 0
3 years ago
a cuboid with a volume of 924 cm3 has dimensions 4cm (x+1)cm and (x+11)cm. show clearly that x^2 +12x-220=0. show the equation b
nikdorinn [45]

Answer:

Part 1)

The equation by factorization is

x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))

Both values of x are

x1=-6+\sqrt{266}

x2=-6-\sqrt{266}

Part 2) The dimensions of the cuboid are

4\ cm, (-5+\sqrt{266})\ cm and (5+\sqrt{266})\ cm

Step-by-step explanation:

step 1

we know that

The volume of the cuboid is equal to

V=LWH

substitute the given values

V=4(x+1)(x+11)

V=924\ cm^{3}

so

4(x+1)(x+11)=924\\4(x^{2}+11x+x+11)=924\\ 4(x^{2}+12x+11)=924\\x^{2}+12x+11=231\\x^{2}+12x-230=0

Complete the square

x^{2}+12x-230=0

x^{2}+12x=230

x^{2}+12x+36=230+36

(x+6)^{2}=266

square root both sides

x+6=(+/-)\sqrt{266}

x=-6(+/-)\sqrt{266}

so

x1=-6+\sqrt{266}

x2=-6-\sqrt{266}

therefore

The equation by factorization is

x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))

step 2

Find the dimensions of the cuboid

The dimensions are

4\ cm

(x+1)\ cm -----> (-6+\sqrt{266}+1)=(-5+\sqrt{266})\ cm

(x+11)\ cm ----> (-6+\sqrt{266}+11)=(5+\sqrt{266})\ cm

4 0
3 years ago
Read 2 more answers
Marcia can make 5 candles in an hour. Kevin can make only 4 candles in an hour, but he already has 7 completed candles. Explain
RUDIKE [14]
M(h)=5h
that is marcia's number of candles where she makes 5 candles per hour (h)

kevin makes 4 but already did 7 so
k(h)=4h+7

when will they have same numbre of candles?
when will m(h)=k(h)
set equal

5h=4h+7
minus 4h from both sides
1h=7

answer is 7 hours

system of equation is
m=5h
k=4h+7
find what value of h makes m=k true

answer is 7 hours
7 0
4 years ago
Which is greater the decimal 42.7 or the decimal 42.9
Vinvika [58]
42.9 is greater because 42.7<42.9
8 0
4 years ago
Read 2 more answers
Plz explain properly, I have this on my MATH FINAL TMR
Nonamiya [84]
You are to calculate the # of students, based upon the starting volume of juice and the amount each student receives.

                                                     22 1/2 cups
This # of students is equal to ------------------------------
                                                [1 1/4 cup / student ]

and this could be found easily by dividing 22.5 by 1.25:  18.  There are 18 students.

6 0
3 years ago
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