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
rodikova [14]
3 years ago
11

The height of a triangle is 7 ft more than its base. If the area of the triangle is 30 ft2, what is the length of the base?

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

see below

Step-by-step explanation:  5 27  7  16

area = 1/2 bh

height of a triangle is 7 ft more than its base

base = b

height = b + 7

area = 30

area = 1/2 b(h)

30 = 1/2 b(b + 7)

30 = 0.5(b²+ 7b)

30 = 1/2 b²+ 3.5b           solve for b

1/2 b²+ 3.5b = 30        

1/2 b²+ 3.5b - 30 = 0        

b²+ 7b - 60 = 0            factor

   (b +12)(b - 5) = 0    when b = -12 or 5     base length can't be negative

b = base = 5

area = 1/2 bh     1/2×2(9)     = 9

area = 1/2 bh     1/2×5(12)     = 60

area = 1/2 bh     1/2×9(16)     = 56

area = 1/2 bh     1/2×12(19)     = 114

You might be interested in
An urn contains a very large number of marbles of four different colors: red, orange, yellow, and green. A sample of 12 marbles d
Umnica [9.8K]

Answer:

We  can reject the hypothesis at the 0.05 significance level.

 

Step-by-step explanation:

given that an urn contains  a very large number of marbles of four different colors: red, orange, yellow, and green. A sample of 12 marbles drawn at random from the urn revealed 2 red, 5 orange, 4 yellow, and 1 green marble.

H0: All colours are equally likely

Ha: atleast two colours are not equally likely

(Two tailed chi square test at 5% significance level)

color                  Red           Orange      Yellow      Green         total

Observed  O         2                     5                  4           1              12    

Expected   E         3                     3                   3          3              12

(O-E)^2/E             0.3333            5.3333        0.3333  5.3333     11.3333

chi square = 11.3333

df =3

p value = 0.010055

Since p < 0.05 we reject H0

We  can reject the hypothesis at the 0.05 significance level.

 

3 0
3 years ago
What is the answer ? Please
USPshnik [31]

Answer:

1 1/18 kilograms

Step-by-step explanation:

First add 3/8 + 11/8, which equals to 11/8. Then add 5/8, which equals to 19/8. Change the improper fraction to a mixed number, and the sum is 1 1/18.

4 0
3 years ago
Read 2 more answers
Please give me the correct answer ​
Sauron [17]
which is the question? (4/3)^2 is 16/9
5 0
2 years ago
HELPPPP ANSWER IN 2mins AND I WILL GIVE YOU BRAINLY MASTER THING Which of the following number sentences is an example of the id
topjm [15]

Answer:

a and c

Step-by-step explanation:

8 0
3 years ago
What is the y-intercept ofa line that has a slope of -3 and passes through (0,-7)​
Wewaii [24]

Y intercept is -7

Look at the picture to see what I did

5 0
3 years ago
Other questions:
  • 5/8 and 6/14 as a decimal
    8·1 answer
  • the container is filled completely with cheese sauce which expression can be used to find the total number of cubic inches of ch
    7·1 answer
  • **WILL GIVE THE BRAINLIEST! &amp; LIKE**
    7·2 answers
  • What is the slope of the line represented by the equation –5x 2y= 10 ?
    14·1 answer
  • If the function graphed is f(x), find f(1).<br> A) -4 <br> B) -1/4<br> C) 0 <br> D) 4
    12·2 answers
  • Nelson did 105 sit-ups in 3 minutes.<br><br> What is the unit rate?
    12·1 answer
  • FIRST-PERSON TO ANSWER WILL BE MARKED BRAINLIEST
    9·2 answers
  • Plz help me an expert help me
    15·1 answer
  • Dunkin Donuts makes its doughnuts for $2.00 each. DD wnats a 50% markup on the
    5·2 answers
  • A shoe making company makes 256 pairs of boots in a day how many pairs of boots do they make in 260 days​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!