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
(a) The lake behind a dam has an area of 55 hectares. When the gates in the dam are open, water flows out at a rate of 75 000 li
GaryK [48]

Answer:

a) The diagram shows a hemisphere with radius 6 cm.

Calculate the volume.

Give the units of your answer.

(The volume, V, of s sphere with radius r is V = 4/3πr³)

b). The diagram shows a prism ABCDEF.

The cross-section is a right angled triangle BCD. BD = 10 cm, BC = 5.2 cm and ED = 18 cm.

(i) a) Work out the volume of the Prism.

b) Calculate the angle BEC

c) The point G lies on the line ED and GD = 7 cm. Work out angle BGE

(Cambridge Assessment International Education. 0580/42, October/November 2019, Q 4)

(a)

(b)(i)a

(b)(i)b

(b)(i)c

2. The diagram shows a sector of a circle of radius 3.8 cm.

The arc length is 7.7 cm.

(i) Calculate the value of y.

(ii) Calculate the area of the sector.

(Cambridge Assessment International Education. 0580/42, May/June 2019, Q 8b)

(i)

(ii)

3

7 0
3 years ago
G(t)= t^2 + 3<br> h(t) = 4t – 3<br> Find (g · h)(-1)
MArishka [77]

Answer:

fifty-two. Explanation: g(h(−1 ))=g(x). x=h(−1)=4(−1)−3=−4−3=−7. g(x)= g(−7)=72+3=49+3=52.

6 0
3 years ago
Find the Area of a circle with a radius of 6 cm.
Mandarinka [93]
The answer is B 113.04


Explanation
Assuming pi in this instance is 3.14
The formula for the area of a circle is A=(pi)r^2
Plug in the radius
A=3.14x6^2
Is 113.04
7 0
3 years ago
A forest cover 43,000 acres. A survey finds that 0.2% of the forest is old growth tress. How many acres of old growth trees are
Sveta_85 [38]

Given:

Total forest area = 43,000

Old growth trees forest = 0.2%

To find:

The area of the old growth trees.

Solution:

We have,

Total forest area = 43,000

Old growth trees forest = 0.2%

Area of the old growth trees = 0.2% of 43,000

                                               = \dfrac{0.2}{100}\times 43000

                                               = 86

Therefore, the area of the old growth trees is 86 acres.

6 0
3 years ago
Please solve the question below 88
RideAnS [48]

Answer:

7361.56 yards

Step-by-step explanation:

Height of the tower = 906 yards

Mauricio's height = 2 yards

Angle of elevation = 7^{o}

Let the distance between Mauricio and the base of the tower be represented by x.

The difference between the height of tower and Mauricio's height = 906 - 2

                                               = 904 yards

So that applying the appropriate trigonometric function, we have;

Tan θ = \frac{opposite}{adjacent}

Tan 7^{o}  = \frac{904}{x}

0.1228 = \frac{904}{x}

x = \frac{904}{0.1228}

  = 7361.5635

x = 7361.56 yards

The distance between Mauricio and the base of the tower is 7361.56 yards.

3 0
3 years ago
Other questions:
  • The mass of a bar of chocolate is 1800g.
    13·2 answers
  • What is the reference angle for 120°?
    14·2 answers
  • Nathan’s kite is in shape of a square. The area of the kite is 36 square feet. What is the perimeter, in feet, of Nathen’s kite
    9·1 answer
  • Which expression is equivalent to 20 + 64
    6·2 answers
  • Jamall had 170 baseball cards after he gave some of the cards to his brother he had 94 cards left how many baseball cards to Jam
    15·2 answers
  • Help please! I've never been good at percents ​
    15·1 answer
  • giving the brainliest answer to who ever can help me out!!! AND has the correct answer need help asap!?!!
    11·1 answer
  • The value of the fraction 3c+2/4 one less than the value of the fraction 5c-1/3.
    11·1 answer
  • PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
    6·1 answer
  • a branch of mathematics that deals with the study of collecting, analyzing, interpreting, presenting, and organizing data in a p
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!