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
LekaFEV [45]
3 years ago
12

The altitude of a triangle is 6 cm greater than its base .if its area is 108 cm ,find its base

Mathematics
1 answer:
xeze [42]3 years ago
6 0

Area of the triangle = (1/2)*base*height

base = x

height = altitude = x+6

Area of the triangle = (1/2)*x*(x+6) = 108

(1/2)*x*(x+6) = 108

x²+6x-216 =0

(x+18)(x-12)=0

x=-18, or x=12

We can use only positive value, so x=12.

Base =12 cm.


You might be interested in
How to solve for x/ extraneous solutions
taurus [48]

Answer:

<h2>x = 8</h2>

Step-by-step explanation:

\log_ab=c\iff a^c=b\\\\===================\\\\Domain:\ 8x>0\to x>0\\\\\log_4(8x)=3\iff4^3=8x\\\\8x=64\qquad\text{divide both sides by 8}\\\\x=8\in D

3 0
3 years ago
Evaluate: 792.6 ÷ 10-4<br><br> remember it is not 10-4. it is 10 to the -4 power
jarptica [38.1K]

Answer:

792600

Step-by-step explanation:

For this question you can add four zeroes to the back of 792.6 andmove the decimal to get you the answer, hope this helps

It's also good to know that if the exponent was positive the answer would be 0.07926

3 0
3 years ago
Read 2 more answers
A stadium has 55,000 seats. Seats sell for ​$28 in Section​ A, ​$16 in Section​ B, and ​$12 in Section C. The number of seats in
salantis [7]
A=number of seats in section A
B=number of seats in section B
C=number of seats in section C

We can suggest this system of equations:

A+B+C=55,000
A=B+C                                      ⇒A-B-C=0
28A+16B+12C=1,158,000

We solve this system of equations by Gauss Method.

1             1              1               55,000
1            -1            -1                         0
28         16           12          1,158,000 


1             1              1               55,000
0            -2             -2             -55,000                                    (R₂-R₁)
0           12             16           382,000                                    (28R₁-R₂) 


1            1                1              55,000
0           -2              -2             -55,000
0            0                4               52,000                                     (6R₂+R₃)

Therefore:

4C=52,000
C=52,000/4
C=13,000


-2B-2(13,000)=-55,000
-2B-26,000=-55,000
-2B=-55,000+26,000
-2B=-29,000
B=-29,000 / -2
B=14,500.

A + 14,500+13,000=55,000
A+27,500=55,000
A=55,000-27,500
A=27,500.

Answer: there are 27,500 seats in section A, 14,500 seats in section B and 13,000 seats in section C.
3 0
3 years ago
Given that € 1 = £0.72<br> a) How much is € 410 in £?<br> b) What is the £ to € exchange rate?
Alekssandra [29.7K]

Answer:

a) 295.2

Step-by-step explanation:

a) cross multiplication method

€1=£0.72

€410=x

x=€410×£0.72

8 0
3 years ago
What are the coordinates of the red dot?
kow [346]

Answer:

(5, 2)

Step-by-step explanation:

Coordinates of a point in a coordinate plane is usually written as (x, y). This point contains the value of x and its corresponding y value.

The red dot on the plane given, if you trace it down to the x-axis, it is at x = 5, while if you trace it horizontally against the y-axis, you'd have y = 2.

Therefore, the coordinates of the red dot is (5, 2).

3 0
3 years ago
Other questions:
  • If there are 52 ounces of cereal in 2 boxes, how man ounces are there in the box?
    7·2 answers
  • What is the greatest common factor of 28 and 96
    14·2 answers
  • If &lt; D is a right angle and &lt; E is a right angle, and you said that &lt; D is congruent to &lt; E, the reason would be ___
    8·1 answer
  • 5 to the 2nd power
    12·1 answer
  • What is the value of x
    8·1 answer
  • Given the exponential equation, 3=18. Which of the equationsbelow will solve for x?
    15·1 answer
  • Find the first three terms of the series represented by the formula 3(- 2)(n - 1).
    8·1 answer
  • Answer all questions please.
    7·1 answer
  • Naomi has earned $54 mowing lawns
    13·2 answers
  • Write and evaluate the expression. Then, complete the statements. A 1-column table with 5 rows. Column 1 is labeled Multiplicati
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!