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3 years ago

Please walk me through the process of solving for the area of this triangle (round to nearest tenth) Thanks!!

Mathematics

1 answer:

grandymaker [24]3 years ago

6 0

Answer:

area is 21

Step-by-step explanation:

the formula to find the area of a triangle is

area = 1/2 x base x height

so we can plug the numbers of your triangle in to that formula

the base is 7 and height is 6

area = 1/2 x 7 x 6

area = 1/2 x 42

area = 21

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For every 8 red pens on the teachers desk there are 12 pencils. If she has 60 writing implements, does she have enough red pens

gavmur [86]

Answer:No she does not

Step-by-step explanation:

8pens + 12pecils= 20writing inplements

20+8+12=40

20+8+12=60

You needed 3 sets of 8 pens and 3 sets of 12 pencils to get 60.

3*8=24

24 is less than 60, so she does not have enough pens for 60 students

7 0

2 years ago

Find the first 5 terms of the sequence: an = 4n-1.

Ad libitum [116K]

#sol1

a1=1×4-1=3
a2=2×4-1=7
a3=3×4-1=11
a4=4×4-1=15
a5=5×5-1=19

#sol2

f(1)=1×4-1=3,
f(n+1)=f(n)+4,
so .... you know.

5 0

2 years ago

J is the midpoint of HK¯¯¯¯¯¯¯ . What are HJ, JK, and HK?

lana [24]

Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.

1) You are told that the measure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
HJ = JK
9x-2 = 4x+13
5x = 15
x = 3

2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
HJ = 9x-2
HJ = 9(3) - 2
HJ = 27 - 2
HJ = 25

JK = 4x + 13
JK = 4(3) + 13
JK = 12 + 13
JK = 25

3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.

-----

Answer: HJ = 25, JK = 25, HK = 50

4 0

2 years ago

There are 12 red marbles and 8 green marbles in a bag. What is the probability of selecting a red

madam [21]

Answer:

The probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag is 24/95

Step-by-step explanation:

Number of red marbles = 12

Number of green marbles = 8

Total number of marbles = 12+8 = 20

Probability of selecting red marble = $\frac{12}{20}$

Since it is the case of no replacement

Remaining marbles = 20-1 = 19

Number of red marbles = 12-1=11

Number of green marbles = 8

Probability of selecting green marble = $\frac{8}{19}$

So, the probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag = $\frac{12}{20} \times \frac{8}{19}=\frac{24}{95}$

Hence the probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag is 24/95

3 0

3 years ago

Is this proportion true 12/15=47/50 16/36=12/27 15/20=24/26 or 4/16=2/14

jekas [21]

For 12/15=47/50, we multiply 12/15 by (1/3)/(1/3) to get 4/5. For 47/50, we multiply it by (1/10)/(1/10) to get the same denominator and 4/7/5. They are not equal.

For 16/36 and 12/27, we'll notice that 36 and 27 are both multiples of 9, so we need to get that as the denominator! Multiply 16/36 by (1/4)/(1/4) because 9 goes into 36 4 times and 12/27 by (1/3)/(1/3) due to that 27 goes into 9 3 times, we get 4/9=4/9 - these are equal!

I challenge you to get the rest of them on your own using my techniques!

3 0

2 years ago