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Leviafan [203]
3 years ago
7

What are the answers please

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0
They are already answered
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The height of a triangle is 3cm less than twice the base. The area is 10cm2
Kamila [148]

Answer:

The base is 4cm and the height is 5cm.

Step-by-step explanation:

This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

H=2B-3

and

\frac{B \times H}{2}=10

Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

\frac{B(2B-3)}{2}=10\\\frac{2B^2-3B}{2}=10\\2B^2-3B=20\\2B^2-3B-20=0\\(2B+5)(B-4)=0\\B= - \frac{5}{2},4

In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:

H=2(4)-3\\H=8-3\\H=5

3 0
3 years ago
Someone please help me with this asap
Leokris [45]

Answer:

All of these terms are dollar amounts.

Step-by-step explanation:

Here, x + y = 10 (where these numerals represent counts)

(1/2)x + (1/4)y = 4 (where (1/2), (1/4) and 4 are dollar amounts)

Let's eliminate y.  To accomplish this, mult. the 2nd eq'n by-4, obtaining

-2x - y = -16, and then combining this with the 1st equation, as follows:

-2x - y = -16

  x + y = 10

-------------------

 -x  = -6, or x = 6.  This represents the number of pens purchased by Terrance.  

Subbing 6 for x in the first equation, we get y = 4.  This represents the number of pencils he bought.

($0.50)x + ($0.25)y = $4.00 (dollar amounts)

5 0
3 years ago
Triangle J'K'L' shown on the grid below is a dilation of triangle JKL using the origin as the center of dilation: Which scale fa
Free_Kalibri [48]

Triangle JKL has a base that is 1 unit long

Triangle J'K'L' has a base that is 3 units long

3 units / 1 unit = 3

The scale factor is 3.

7 0
3 years ago
Read 2 more answers
Each cement block weighs 4 3/5 pounds. How much do 3 cement blocks weigh in total?
natali 33 [55]

Answer:

13 4/5 pounds

Step-by-step explanation:

You multiply 4 3/5 by 3, which equals 13.8, which equals 13 4/5 pounds.

3 0
2 years ago
Estimate<br>37 to the nearest tenth. Then locate<br>37 on a number line.​
balu736 [363]
37 to the nearest tenth is 40.
3 0
3 years ago
Read 2 more answers
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