Solve the equation for
x
by finding
a
,
b
, and
c
of the quadratic then applying the quadratic formula.
Exact Form:
x
=
−
3
±
√
6
3
Decimal Form:
x
=
−
0.18350341
…
,
−
1.81649658
…
SOLVE FOR X ANSWER IN FRACTION FORM I DONT NEED TO SHOW WORK
Answer:
[tex]x=\frac{27}{2}\:\text{or}\:13.5[/tex]
Step-by-step explanation:
Both triangles are shown are similar. Therefore, the ratio of their sides will be maintained. We can then set up the following proportion:
[tex]\frac{2}{11}=\frac{3}{3+x},\\2(3+x)=33,\\(3+x)=16.5,\\x=\boxed{13.5\text{ or }\frac{27}{2}}[/tex]
A letter card is chosen, and a number cube is rolled. Find the
probability of each event.
9. P(A and 5)
11. PJ and less than 3)
13. P(consonant and odd)
14. P(M or T and greater than 3)
Answer:
9) 1/48
11) 1/24
13) 5/16
14) 1/8
Step-by-step explanation:
9) P(A and 5) = 1/8 × 1/6
11) P(J and LT 3) = 1/8 x 2/6
13) P (consonant and odd) = 5/8 x 1/2
14) P ('M' or 'T' and GT 3) = [(1/8+1/8) × 1/2] = 2/8 x 1/2
No link please!! But please help!!
Given:
The radius of the circle X is XY.
Coordinates of X are (0,3) and coordinates of Y are (-3,-1).
To find:
The area of the circle.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The radius of the circle is the distance between the points X(0,3) and Y(-3,-1).
[tex]XY=\sqrt{(-3-0)^2+(-1-3)^2}[/tex]
[tex]XY=\sqrt{(-3)^2+(-4)^2}[/tex]
[tex]XY=\sqrt{9+16}[/tex]
[tex]XY=\sqrt{25}[/tex]
[tex]XY=5[/tex]
The radius of the circle is 5 units.
The area of the circle is:
[tex]A=\pi r^2[/tex]
Where, r is the radius of the circle.
Putting [tex]\pi=3.14, r=5[/tex] in the above formula, we get
[tex]A=(3.14)(5)^2[/tex]
[tex]A=(3.14)(25)[/tex]
[tex]A=78.5[/tex]
Therefore, the area of the circle is 78.5 square units.
In a local car lot, 1/6
of the cars have standard transmissions. Find the
probability that 3 of 4 randomly-selected cars have standard transmissions.
Answer: [tex]\dfrac{5}{324}[/tex]
Step-by-step explanation:
Given
Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]
So, the probability that the car does not have transmission is
[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]
Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities
[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]
3 x a x 2 x b
what is the answer
(PLEASE HELP)
Which value of x makes this equation true
-90=-100+x
Answer:
-0.9
Step-by-step explanation:
-0.9 × 100 = -90
answer : -90 = -100+x → x = 10
explanation : to solve for x, you are simplifying both sides of the equation, then isolating the variable.
step 1 : move the variable to the left-hand side and change its sign.
ex : -90-x = -100
step 2 : move the constant to the right-hand side and change its sign.
ex : -x = -100+90
step 3 : calculate the sum
ex : -x = -10
step 4 : change the signs on both sides of the equation
ex : x = 10
solution : x=10
hope this helps !
- audrey ♡
2,1,4,3,6,5,8,___
plz answer this question and solve
Answer:
2,1,4,3,6,5,8,7
Step-by-step explanation:
Given:
2,1,4,3,6,5,8,___
Pairing the sequence in twos
2,1
4,3
6,5
It can be seen that each pair of the sequence is arranged in descending order (from highest to lowest)
1, 2 is written as 2,1
3, 4 is written as 4,3
5, 6 is written as 6, 5
Then the next two numbers
7, 8 will be written as 8,7
2,1,4,3,6,5,8,7
the Robersons are planning to re-pave their driveway. The length of the driveway is 7 feet longer than the width. The total area of the driveway is 144 ft.² write an equation to represent the dimensions of the driveway. now find the dimensions of the driveway.
Who listens to NF (Nathan Feuerstein) and enjoys his music?
Write a short paragraph about your favorite song and why you like it. Also include what you think the song means.
I will give Brainliest to the answer I like best and 10 points.
Good luck,
Paul
Answer: I like NF and can I do it later I’m in class
Step-by-step explanation:
The population of Florida in 2000 was 15,982,378 and the land area was 54,252 square miles. The population increased 26.8% by 2015. To the nearest whole number, how much did the population density, in people per square mile, increase from 2000 to 2015?
Answer: See explanation
Step-by-step explanation:
Population in 2000 = 15,982,378
Land area = 54,252 square miles
The population density in 2000 will be:
= Population / Land area
= 15982378 / 54,252
= 294.60people per square miles
Since the population increased by 26.8% in 2015, the population in 2015 will be:
= 15,982,378 × (100% + 26.8%)
= 15,982,378 × 126.8%
= 15,982,378 × 1.268
= 20,265655
The population density in 2015 will be:
= Population / Land area
= 20,265655 / 54,252
= 373.55 people per square miles
The increase in population density from 2000 to 2015 will be:
= 373.55 - 294.60
= 78.95
3 packets of fries cost £4.20
How much does 5 packets of fries cost?
Select one
a. £6.40
b. £6.00
C. £7.00
Answer:
C
Step-by-step explanation:
First, divide £4.20 by 3 to get the price for 1 packet.
4.20/3 = 1.4
5 packets is 5 times that, so multiply 1.4 times 5. You get 7. So 5 packets costs £7.00
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
If you are looking for x your answer will be x=2
Below. What is m∠1?
m∠1 =
Answer:
m∠1 = 70°
Step-by-step explanation:
Step 1
Sum of angles on a straight line = 180°
Hence:
180° - 101°
= 79°
Sum of interior angles in a triangle = 180°
Therefore,
m∠1 = 180° - (79 ° + 31°)
m∠1 = 180° - 110°
m∠1 = 70°
Which expression simplifies to 5v3?
Answer:
D.
Step-by-step explanation:
Answer:
D. V15
Step-by-step explanation:
Help me out please???
find the measure of the angle indicated for each trapezoid
Answer:
The trapezoid is a quadrilateral. The 4 angles of a quadrilateral all equal to 360 degrees. Now you know that this is an isosceles trapezoid since the two sides are congruent. [360-(110*2)] / 2= [360-220] / 2= 140/2=70. So the answer is 70 degrees.
Step-by-step explanation:
1.) Name two pairs of adjacent angles
Answer:
DE, BA
Step-by-step explanation:
These two pair of angles meet at the point G, they touch, therefore adjacent.
Pythagorean Theorem to solve for x. If the hypnoses is 10 m, and one leg is 6 m. Find the other leg x
Answer:
The other leg X = 8m
Step-by-step explanation:
As per Pythagorean theorem-
Square of hypotenuse = sum of square of other two sides of the triangle
Substituting the given values in above equation, we get -
[tex]10^2 = 6^2 + X^2\\100 - 36 = X^2\\X^2 = 64\\X = 8[/tex]m
The other leg X = 8m
Jessie's school has 570 students. Thirty percent of the students are eighth-graders. One-third of eighth-graders walk to school. How many eighth-graders walk to school?
Answer:
57
Step-by-step explanation:
10% of 570 = 57 (dividing by 10). Times that by 3, which is 171. Now divide 171 by 3, equals 57 (the answer).
Someone please help will mark as brainliest
Answer:
59 degrees. (A)
Step-by-step explanation:
Corresponding angles are equal.
Answer:
A) 59°
Step-by-step explanation:
Since both lines are parallel to the other line, the angle has to be the exact same as the one shown above it.
What is the scale factor?
Answer:
I send you a pic
Step-by-step explanation:
is that help?
Determine the volume of a cylinder with 251.20cm2 lateral area and 78.50cm2 base area
Answer:
Answer is 628 cm^3
Step-by-step explanation:
using base area lets find radius
base area=pie*(r)^2
78.50=3.14*r^2
78.50/3.14=r^2
25=r^2
5=r
now using lateral area lets find height
lateral area=2*pie*r*h
251.20=2*3.14*5*h
251.20=31.4*h
251.20/31.4=h
8=h
volume of cylinder=pie*(r)^2*h
=3.14*(5)^2*8
3.14*25*8
=628 cm^3
A store is selling a couch for $975.00 on a 24-month payment plan. If a down payment of $132.00 is given, and no instrest is charged, how much will a customer have to pay each month
Answer:
$35.13
Step-by-step explanation:
monthly payment = (cost - down payment) / number of month
(975 - 132) / 24 =
843/24= 35.13
The sale price of a bicycle that cost $290 is $261. By what percentage was the price of the bicycle reduced?
Answer:
again 10%
Step-by-step explanation:
cant let points go to waste
please help !!
Problem A painter is painting a mural on a wall. He has a 20-foot ladder. He needs to work on
a part of the wall that is 16 feet above the ground. How far from the base of the building should
he place the foot of the ladder to make sure that the ladder reaches his work area? Show your
work
Answer:
The worker should put the ladder 4 feet away from the wall.
Kyle bought x candy bars. He paid $0.89, including tax, per candy bar. He gave the cashier $10 and received $3.77 in change. How many candy bars did Kyle purchase?
Answer:
I think 7
Step-by-step explanation:
Answer:
Without tax, it is 7. How much is the tax?
Step-by-step explanation:
10.00 - 3.77 = 6.23
0.89 x 7 = 6.23
Below. What is m∠1?
m∠1 =
Answer:
m∠1 = 70°
Step-by-step explanation:
Step 1
Sum of angles on a straight line = 180°
Hence:
180° - 101°
= 79°
Sum of interior angles in a triangle = 180°
Therefore,
m∠1 = 180° - (79 ° + 31°)
m∠1 = 180° - 110°
m∠1 = 70°
The lateral area of a regular pentagonal pyramid is 75 square inches and the slant height is 10 inches. Find the length of each side of the base.
A) 15 in.
B) 14 in.
C) 7.5 in.
D) 3 in
The length of each side of the base is 3 inches. Thus, the correct option is D.
What is the pyramid?In terms of geometry, a pyramid is a polygon that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. If the base of the pyramid is a rectangle then the pyramid is known as a rectangular pyramid.
The lateral area of a regular pentagonal pyramid is 75 square inches and the slant height is 10 inches.
The length of each side of the base is calculated as,
75 = 5 x 1/2 x a x 10
75 = 25a
a = 3 inches
Thus, the correct option is D.
More about the pyramid link is given below.
https://brainly.com/question/17615619
#SPJ2
NEED HELP ASAP
there are 16 ounces in 1 pound. Juan is mailing a package that weighs 96 ounces. He wants to know the weights of the package in pounds
Answer:
Divide, 16.
Step-by-step explanation:
So, lets look at the unit scale.
For every 16 ounces, there are 1 pound.
To convert ounces to pounds, the number must be divide by 16, since there are 16 ounces in one pound.
The first fill in box answer is division.
Next we must ifnd the actual amount of pounds.
We know that the box weights 96 ounces.
Now lets divide this by ounces per pound, and see what we get:
96/16
=
6
So the box weighs 6 pounds.
This is the answer to the second fill in question.
Hope this helps!
Answer: MULTIPLY N AND 16 THE OTHER GUY IS WRONG
Step-by-step explanation:
DID IT ON I-READY
A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.
What is the probability that Jack picks a white then a blue jersey if he puts the first one back.
Answer:
7/54
Step-by-step explanation:
A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.
Let the total number of jerseys =
5 red jerseys + 6 blue jerseys 7 white jerseys.
= 18
P(White) = 7/18
P(Blue) = 6/18
Hence, the probability that Jack picks a white then a blue jersey if he puts the first one back.
This is probability with replacement, hence:
7/18 × 6/18
= 7/18 × 1/3
= 7/54