Translate this phrase into an algebraic expression.

Which division problem does the number line below best illustrate?

mixer [17]

Answer:

1 divided by one-fifth = 10

7 0

3 years ago

Find the sum of the arithmetic sequence.<br><br>-10, -7, -4, -1, 2, 5, 8

Tema [17]

Answer:

-7

Step-by-step explanation:

3 0

2 years ago

MathematicalUse Number Sense Duane and Mick are savingtheir money to build a tree house. Duane adds $5 to their piggybank every

Elina [12.6K]

Assuming they start saving at 0 dollars

45=total=duanesavings+micksavings
duanesavings=confusing, I will explain
mick savings =amount saves per week times number of weeks

duane saves 5 dollars every other week, aka 2.5 dollars per 1 week
DS=2.5w
MS=2w

since they save at same time and at that week, when the weeks are equal (w=w), 45 it total

DS+MS=45
2.5w+2w=45
4.5w=45
divide by 4.5 both sides
w=10

10 weeks

8 0

3 years ago

Jay wants to make a box, with no lid (or top), out of a 10" x 6" rectangular piece of cardboard. If Jay cuts squares with dimens

LiRa [457]

Answer:

a. $V(x)=x(10-2x)(6-2x)$

b. $S(x)=4(15-x^2)$

Step-by-step explanation:

Dimensions of rectangular piece of cardboard= $10\times 6$

According to question

Length of box,l=10-2x

Breadth of box,b=6-2x

Height of box,h=x

a.

Volume of box= $l\times b\times h$

Substitute the values in the formula

Volume of box= $x(10-2x)(6-2x)$

$V(x)=x(10-2x)(6-2x)$

b.Surface area of box= $2(b+l)h+lb$

Because the box has no lid

Substitute the values in the formula

Surface area of box= $2(10-2x+6-2x)x+(10-2x)(6-2x)$

Surface area of box= $2(16-4x)x+60-20x-12x+4x^2$

Surface area of box= $32x-8x^2+60-32x+4x^2$

Surface area of box= $60-4x^2=4(15-x^2)$

Surface area of box, S(x)= $4(15-x^2)$

4 0

2 years ago

Can someone please explain to me how to get this answer?

SIZIF [17.4K]

Answers:
A = 120
b = 45.0
c = 33.2

Side Note: only one triangle is possible
See attached for a visual. I used GeoGebra to draw the triangle.

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Explanation:

We are given the following information
B = 35
C = 25
a = 68

We need to find the following
A, b, c

where the lower case letters represent the side lengths; the upper case letters are the angles. The angles are opposite their corresponding sides. For instance, side lowercase b is opposite angle uppercase B. The other letters are positioned the same way.

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First use the idea that for any triangle, the three angles (A,B,C) must add to 180 degrees
A+B+C = 180
Replace B and C with 35 and 25. Solve for angle A
A+35+25 = 180
A+60 = 180
A+60-60 = 180-60
A = 120

Now that we know the three angles A = 120, B = 35, C = 25, we can find the missing sides 'b' and 'c'

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We will use the law of sines to find side b
sin(A)/a = sin(B)/b
sin(120)/68 = sin(35)/b
b*sin(120) = 68*sin(35) <<--- cross multiply
b = 68*sin(35)/sin(120)
b = 45.037013350222 <<--- use a calculator; this value is approximate
b = 45.0 <<--- round to the nearest tenth

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Do the same for side c
sin(A)/a = sin(C)/c
sin(120)/68 = sin(25)/c
c*sin(120) = 68*sin(25) <<--- cross multiply
c = 68*sin(25)/sin(120)
c = 33.1838323365404 <<--- use a calculator; this value is approximate
c = 33.2 <<--- round to the nearest tenth

4 0

3 years ago

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