1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
max2010maxim [7]
3 years ago
12

The base of a triangle is 4 meters shorter than the height. What are the height and length of the triangle if its area is 48 squ

are meters? *
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer: H=12 and B=8

Looking at the problem, you are given the area, <em>a</em> , and told the h is 4 meters longer than <em>b; </em>in other words, <em>h</em>=<em>b</em>+4.

Since <em>a=</em>1/2<em>bh</em>, you can replace <em>a</em> with 48. Also, since <em>h</em> is <em>b</em>+4, you can replace that as well. You'd end up with this equation:

48=1/2b(b+4)

1. Seeing that 48 is 1/2 of <em>b,</em> you know that you have twice the value of 48, or 96. So, you can put that 96=<em>b(b+4). </em>

2.<em> </em>Now, thinking through factors of 96-  1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12, the only pair in which <em>h </em>is b+4 is 12 x 8.

Hope this helps,

Lacia :))

You might be interested in
The graph of which function(s) will contain the point (3, 6)?
alekssr [168]
The first and third one
5 0
3 years ago
Read 2 more answers
Triangle ABC is a non-right triangle with Angle C = 117, a = 12, and b = 18. Find Angle B to the nearest tenth.
qwelly [4]

Using the law of cosines and sines, the measure of angle B is: 38.4°.

<h3>What is the Law of Cosines and Sines?</h3>

Law of cosines is: c = √[a² + b² ﹣ 2ab(cos C)]

Law of sines is: sin A/a = sin B/b = sin C/c

Use the law of cosines to find c:

c = √[12² + 18² ﹣ 2(12)(18)(cos 117)]

c ≈ 25.8

Use the law of sines to find angle B:

sin B/b = sin C/c

sin B/18 = sin 117/25.8

sin B = (sin 117 × 18)/25.8

sin B = 0.6216

B = sin^(-1)(0.6216)

B = 38.4°

Learn more about the law of cosines on:

brainly.com/question/23720007

#SPJ1

5 0
2 years ago
Given the sequence 7, 14, 28, 56, ..., which expression shown would give the tenth term?
ololo11 [35]
Hello,

u_{1}=7\\&#10; u_{2}=2*7\\&#10; u_{3}=2^{2}*7\\&#10; u_{4}=2^{3}*7\\\\&#10;&#10; u_{n}=2^{n-1}*7\\\\&#10;&#10; u_{10}=2^{9}*7=3584\\&#10;&#10;
3 0
3 years ago
Read 2 more answers
Find the value of x <br>a.2 <br>b.5<br>c.2.5<br>d.4​
nikdorinn [45]
I should say 5 is the most clearest answer to me
6 0
3 years ago
Read 2 more answers
Round 0.000045389 to the three significant figures
erica [24]

Answer:

0.0000454

Step-by-step explanation:

The zeros are not significant since they come before the numbers greater than 0. And I rounded 3 to 4 since the 8 was above 5 so it gets rounded up

3 0
3 years ago
Other questions:
  • The probability that Tim will sink a foul shot is 70%. If Tim attempts 30 foul shots, what is the probability that he sinks exac
    6·2 answers
  • Dividing 3 digits by 2 digits lesson 3.6
    15·1 answer
  • Difference of squares: What is x^2-9=0? <br>please help me....​
    13·2 answers
  • In an online practice test, Sam scores 18 points for the questions he
    13·1 answer
  • Calculate the height of the cuboid if the volume is 30cm cubed
    5·1 answer
  • A wooden block in the shape of a cube has a side length of 0.3 meter and has a mass of 18.954 kilograms.
    5·1 answer
  • Chloe took a walk. She left at 4:20 PM. She gets home at 5:34 PM. How long did she walk for?
    5·2 answers
  • 9x+7/2-(x-(x-2/7) )=36<br>​
    5·1 answer
  • At a middle school the ratio of 7th graders to 8th graders is 4:5. If there are 270 7th and 8th graders, how many 8th graders ar
    13·2 answers
  • Write the equation of the line in fully simplified slope-intercept form.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!