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uysha [10]
3 years ago
11

A triangle has two sides of lengths 4 and 15.What value could the length of the third side be? Check all that apply.. A:12 B:13

C:4 D:15 E:11 F:19
Mathematics
1 answer:
galina1969 [7]3 years ago
3 0

If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

A: 4, 12, 15

4 + 12 = 16 > 15    CORRECT :)

B: 4, 13, 15

4 + 13 = 17 > 15   CORRECT :)

C: 4, 4, 15

4 + 4 = 8 < 15   INCORRECT :(

D: 4, 15, 15

4 + 15 = 19 > 15  CORRECT :)

E: 4, 11, 15

4 + 11 = 15   INCORRECT :(

F: 4, 15, 19

4 + 15 = 19  INCORRECT :(

<h3>Answer: A: 12, B: 13, D; 15</h3>
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oksano4ka [1.4K]

Answer:

9 cm.

Step-by-step explanation:

Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.

Volume of the pyramid:

= 1/3 * h * s^2      where s is the length of a side of the square base.

= hs^2/3 cm^3

Volume of the cuboid:

= s^2(15 - h).

So we have:

hs^2/ 3 = 300.......................(1)

s^2(15 - h) = 600..................(2)

From  equation (1) :

h s^2 = 900

s^2 = 900/h

Now substitute for s^2 in  equation (2) :

(900/h)(15 - h) = 600

Multiply through by h:

900(15 - h) = 600h

13500 - 900h = 600h

1500h = 13500

h = 9 cm (answer).                  brainliest?

3 0
2 years ago
Given: a||b, m∠ 6=128° Find: m∠1, m∠3
goldfiish [28.3K]

Answer:

m∠1 = 52°

m∠3 = 52°

Step-by-step explanation:

Step 1:

Since b is a straight line and is transversed by line m and we are given m∠6 = 128°, we can find m∠5, which is 180 - m∠6, giving us 52° for ∠5.

Step 2:

Because a and b are parallel, m∠5 and the m∠1 are the same, so we have m∠1 = 52° as one of our answers needed

Step 3: Because ∠3 is vertical to ∠1, we can use the vertical angles theory and say that m∠1 is equal to m∠3. Therefore, m∠3 = 52°

5 0
3 years ago
The product of two consecutive odd intergers is 1 less than four times thier sum. Find the two integers.
seraphim [82]
Consecutive odd integers are 2 apart
they are x and x+2
the product (x times (x+2)) is 1 less than  4 times their sum

x(x+2)=-1+4(x+x+2)
x^2+2x=-1+4(2x+2)
x^2+2x=-1+8x+8
x^2+2x=8x+7 minus (8x+7) from both sides [tex]x^2-6x-7=0
factor
what  numbers multliply to get -7 and add to get -6?
-7 and 1
(x-7)(x+1)=0
set equal to 0
x-7=0
x=7

x+1=0
x=-1

so the x can be 7 or -1
the other number (x+2) can be 7 or 1

test each

7 and 9
7(9)=-1+4(7+9)
63=-1+4(16)
63=-1+64
63=63
true


-1 and 1
-1(1)=-1+4(-1+1)
-1=-1+4(0)
-1=-1+0
-1=-1
true



the 2 integers can be 7 and 9 or -1 and 1 (both pairs of numbers work)
3 0
2 years ago
A microwave oven costs $124.85 before it is marked down. If it is marked down by 63%, what is its new price, to the
Aleksandr [31]

Answer:

D ($46.19)

Step-by-step explanation:

$124.85 * (100% - 63%)

= $124.85 * 37 %

= $124.85 * 0.37

= 46.1945

= $46.19 (to the nearest cent)

Hope this helped!

5 0
2 years ago
Read 2 more answers
solve The mean score of a competency test is 60, with a standard deviation of 5. Between what two values do about 68% of the val
Anna11 [10]

Answer:

Between 55 and 65

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 60

Standard deviation = 5

Between what two values do about 68% of the values lie?

By the Empirical Rule, within 1 one standard deviation of the mean. So from 60-5 = 55 to 60+5 = 75.

5 0
3 years ago
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