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aleksandr82 [10.1K]
3 years ago
10

Which of the following correctly indicates whether a triangle can have sides with lengths 3.8, 7.4, and 11, and also provides th

e correct explanation?
A) No; 3.8 + 7.4 is not greater than 11.
B) Yes; 3.8 + 7.4 is not greater than 11.
C) No; 3.8 + 7.4 is greater than 11.
D) Yes; 3.8 + 7.4 is greater than 11.
Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:

I think its c?

Step-by-step explanation:

Im sorry if its wrong.

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Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
Irina18 [472]

Answer:

Step-by-step explanation:

First of all we have to discover how much he spent.

356.89 + 2(16.70) + 27.47 = $417.76

Now we have to find how much money he saved

640 - 417.76 = $222.24

the total cost of biking outfits must be eqaua or less than $222.24..

We know the price of a single outift so we can write this inequality:

74.08o ≤ 222.24

we can find o by dividing the two members of the inequality:

o ≤ 222.24/74.08  = 3

o≤ 3

this mean that he can buy 1, 2 or 3 outfits

5 0
3 years ago
Write an equation for the line parallel to the given line that contains C.
Inga [223]

Answer:

y=-4x+15

Step-by-step explanation:

step 1

Find the slope of the given line

we know that

If two lines are parallel, then their slopes are the same

The equation of the given line is

y=-4x+1

This is a equation of the line in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

The slope m is equal to

m=-4

therefore

The slope of the line parallel to the given line is

m=-4

step 2

Find the equation in slope intercept form of the line parallel to the given line

y=mx+b

we have

m=-4

point\ C(2,7)

substitute the values and solve for b

7=-4(2)+b

7=-8+b

b=7+8=15

therefore

The linear equation is

y=-4x+15

6 0
3 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y =
miss Akunina [59]

Answer:

381.18 cubic units

Step-by-step explanation:

Graph the region:

desmos.com/calculator/iwvreqjz2m

The region is a trapezoid.  When we rotate it about x = 1, we get a hollow cylinder shape.  We can either use washer method or shell method to find the volume.

If we find the volume using washer method, we'll have to use two integrals, one for the triangular part of the trapezoid and one for rectangular part.  If we use shell method, we only need one integral.  So let's use shell method.

Cut a thin, vertical slice of the region.  The width of this slice is dx.  The height of the slice is y₂ − y₁ = x − 0 = x.  The radius of the shell is x − 1.

The volume of the shell is:

dV = 2π (x − 1) (x) dx

dV = 2π (x² − x) dx

The total volume is the sum of all the shells from x=5 to x=7.

V = ∫ dV

V = ∫₅⁷ 2π (x² − x) dx

V = 2π ∫₅⁷ (x² − x) dx

V = 2π (⅓ x³ − ½ x² + C) |₅⁷

V = 2π [(⅓ 7³ − ½ 7² + C) − (⅓ 5³ − ½ 5² + C)]

V = 2π [⅓ 7³ − ½ 7² − ⅓ 5³ + ½ 5²]

V = 2π [⅓ (7³ − 5³) + ½ (5² − 7²)]

V = 2π [⅓ (218) + ½ (-24)]

V = 2π (72⅔ − 12)

V = 121⅓ π

V ≈ 381.18

The volume is approximately 381.18 cubic units.

6 0
3 years ago
7/18 of the students made the track team. 9/18 made the volly ball team. (No one made both teams.) What fractional part of the s
Rzqust [24]
16/18 are on a team . So it’s a big percentage
6 0
3 years ago
A line passes through the points (8, –1) and (–4, 2).
Yuki888 [10]

Step-by-step explanation:

With the given points, we can first find the gradient of the line:

gradient = (2+1)/(-4-8)

= -1/4

We also know that the formula of a straight line is

Y = mX+C, where m is gradient and C is y intercept.

Hence by substituting the coordinates (-4, 2) and the gradient -1/4, we get:

2 = (-1/4)(-4) + C

<u>C = 1</u><u>.</u> Hence, Answer is C.

(Actually, you can just draw a straight line connecting the 2 coordinates and find out the y intercept)

8 0
3 years ago
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