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
Vera_Pavlovna [14]
3 years ago
12

Solve each equation by factoring. 5a^2-2a-47=0

Mathematics
1 answer:
sergey [27]3 years ago
4 0

Answer:

a = -2.872 and 3.272

Step-by-step explanation:

Given the equation 5a^2-2a-47=0

Using the general formula;

a = 2±√2²-4(5)(-47)/2(5)

a = 2±√4+940/10

a = 2±√944/10

a =  2±30.72/10

a = 2-30.72/10 and 2+30.72/10

a = -28.72/10 and 32.72/10

a = -2.872 and 3.272

You might be interested in
In the diagram below PQR are point on the circle with centre o and diameter 14cm <PRQ=35° Find the length of the minor arc PQ
Gekata [30.6K]

Answer:

Step-by-step explanation:

I'll draw a quick sketch. It's hard to "see" this kinda of problem w/o a drawing , so start there.   just draw as much as you can from what the problem tells you.

diameter = 14 cm

radius = 7 cm

pi = 3.142

PRQ = 35 °

to find Y use law of sines

sin(70) / Y = sin(55) / 7

sin(70) / sin(55) / 7 = Y  ( I'll use my calculator for all the non standard angles )

sin(70) * 7 / sin(55) = Y   ( and invert and multiply the fraction in the denom )

8.03007 = Y

x = 70 °

if you have questions, and  you should, just put them in the comments , I'll see them later :)

5 0
3 years ago
Find the missing length. The triangles in each pair are similar
umka21 [38]

Answer:

The sides of the triangle are proportional so the length of GE=18 cm

5 0
4 years ago
Read 2 more answers
How many feet long is the shadow of a 15-foot flagpole if a 5-foot woman standing at the base of the flagpole has a shadow that
Vikentia [17]

The height of flagpole is 12.5 feet.

Step-by-step explanation:

Given,

Height of woman = 5 foot

Shadow of woman = 6 feet

Ratio of height to shadow = 5:6

Shadow of flagpole = 15 foot

Height of flagpole = x

Ratio of height to shadow = x:15

Using proportion;

Ratio of height to shadow :: Ratio of height to shadow

5:6::x:15\\

Product of mean = Product of extreme

6*x=15*5\\6x=75

Dividing both sides by 6

\frac{6x}{6}=\frac{75}{6}\\x=12.5

The height of flagpole is 12.5 feet.

Keywords: ratio, proportion

Learn more about proportion at:

  • brainly.com/question/9527422
  • brainly.com/question/9381523

#LearnwithBrainly

8 0
3 years ago
A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other.
Alex Ar [27]

Answer:

  • 24 inches
  • 120 inches

Step-by-step explanation:

The lengths can be found by considering their ratio:

  short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

  1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

__

Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

  s +5s = 144

  s = 144/6 = 24

  5s = 5(24) = 120

The lengths are 24 inches and 120 inches.

5 0
2 years ago
last week a candle store recieved 335.60 for selling 20 candles. small candles sell for 10.98 and largr candles sell fer 27.98.
mina [271]
Hmmmm closest I can get to this answer is 6 or 7. The numbers don't add up and it's probably why you haven't received an answer. If you do this math:
13small candles multiplied by 10.98 = 142.74
7large candles multiplied by 27.98 = 195.86
142.74+195.86 = 338.60 which is OVER the total received.
7+13=20 candles
14small candles multiplied by 10.98 = 153.72
6 large candles multiplied by 27.98 = 167.88
153.72+167.88 = 321.60 which is UNDER the total received
Can't go any lower or higher because it's even lower or higher. 
6+14=20 candles
So I wouldn't really know what to say. This isn't adding up.

5 0
3 years ago
Other questions:
  • Graph the function I need 3 plots h(x) = - 3/5x +9
    11·1 answer
  • Which of the following equations can be used to find the length of BC in the
    9·1 answer
  • T are the domain and range of f (x) = (1/5)^x?
    13·1 answer
  • 77.86 divided by 0.85
    13·2 answers
  • Fomular for finding perimeter area and circumference of a circle
    14·2 answers
  • Please help fast! <br><br> Which pairs of polygons are similar?<br><br> Select each correct answer.
    5·2 answers
  • You deposit $4500 into a savings account for 3 years. How much interest do you earn if the savings account has a 5% interest rat
    14·2 answers
  • There are two correct answers
    14·2 answers
  • Find the value of X in the triangle shown below
    11·1 answer
  • You multiply a number by 3 subtract 6 then add 2 the results is 20 what's the number
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!