Answer:
9 = n
Step-by-step explanation:
12 = 6(n – 7)
Divide by 6 on both sides
12/6 = 6/6(n – 7)
2 = n-7
Add 7 to each side
2+7 = n-7+7
9 = n
Answer:
9 = n
Step-by-step explanation:
12 = 6(n – 7)
12 = 6n - 42. Use the distributive property
12 = 6n - 42
+42. +42. Inverse operations
54 = 6n
÷6. ÷6
9 = n
Find the perimeter of the outside of the hungry circle monster. The angle of its mouth is pi/3 radians and its radius is 7 inches
Answer:
C≈43.98in
Step-by-step explanation:
PLEASE HURRY IM IN A RUSH!!!!!!! 100 POINTS!
Which equation represents the function graphed on the coordinate plane? g(x) = |x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1
Answer:
If i am right it has to but has to be -11
13. A rectangle has a width that is twice as long as its length and an area of 722 square inches. Find the length of the diagonal, rounded to the nearest tenth.
Answer:
The diagonal of the rectangle is approximately 42.5 inches.
Step-by-step explanation:
The area of a rectangle is given by the following formula:
area = width*length
In this case the width = 2*length, therefore we have:
area = 2*length²
722 = 2*length²
2*length² = 722
length² = 361
length = sqrt(361) = 19 inches
width = 2*length = 2*19 = 38 inches
The diagonal forms a right triangle with the sides of the rectangle, where it is the hypotenuse. Therefore we can use Pytagora's theorem:
diagonal = sqrt(length² + width²)
diagonal = sqrt(19² + 38²) = 42.485 inches
The diagonal of the rectangle is approximately 42.5 inches.
Answer:
42.5 inches
Step-by-step explanation:
l = length
w = 2l
A = 722
A = l*w
722 = l * 2l
722 = 2l^2
Divide each side by 2
361 = l^2
Take the square root of each side
sqrt(361) = l
w = 2 * sqrt(361)
We want to find the diagonal so we can use the pythagorean theorem
a^2+ b^2 = c^2 where c is the length of the diagonal
l^2 + w^2 = c^2
(sqrt(361)) ^2 + (2 sqrt(361))^2 = c^2
361+1444 = c^2
1805 = c^2
Take the square root of each side
sqrt(1805) = sqrt(c^2)
42.48529 = c
To the nearest tenth
42.5 =c
The graph shows the numbers of quarts of yellow
paint that must be mixed with different numbers of
quarts of red paint to make a certain shade of orange
paint.
Answer:
Step-by-step explanation:
The given graph is a straight line graph. The y axis represents the number of quarts of yellow paint that is mixed. The x axis represents the number of quarts of red paint that is mixed. We would write the required equation in the slope intercept form. The slope intercept form equation of a straight line is expressed as
y = mx + c
Where
m represents slope
c represents y intercept.
Slope = (y2 - y1)/(x2 - x1)
Slope = (2 - 1)/(5 - 2.5) = 1/2.5
Slope = 0.4
The straight line cuts the y axis at y = 0
It means that c = 0
Therefore, the equation is
y = 0.4x
Sally has 4 red socks, 6 white socks, and 2 pink socks in her drawer. She
randomly pulls a red sock out of the drawer. Then she randomly pulls out
another sock from a drawer.
a) What is the probability that Sally pulls out a red sock?
b) What is the probability that Sally pulls out a sock that is not red?
c) Are the events described in a) and b) complementary? Explain.
A) 1/3
B) 2/3
C) Yes because 1/3+2/3=1 but if it was 1/3 and 1/3 it would not be complementary
Find the solution set of the inequality
14-3x<-1
Answer:
x > 5
Step-by-step explanation:
I’m taking an L someone help
Answer:630
Step-by-step explanation:
Answer:
gg hope that L goes goof for you
Step-by-step explanation:
69 420
Rewrite 2 cos 75 degrees sin 75 degrees a double angle identity
It follows from the double angle identity for sine,
sin(2x) = 2 sin(x) cos(x),
that
2 cos(75º) sin(75º) = sin(2•75º) = sin(150º)
Alternatively, recall that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
Adding these together gives
sin(x + y) + sin(x - y) = 2 sin(x) cos(y)
Set x = y = 75º; then
2 sin(75º) cos(75º) = sin(75º + 75º) + sin(75º - 75º)
2 sin(75º) cos(75º) = sin(150º)
2 cos 75° . Sin 75° = Sin 150°
Notice:
Sin 150 º = Sin 30°
See that Sin 75° = Cos 15°
Cos 75° = Sin 15°
So :
2Cos 75° . Sin 75° = 2 Sin 15°Cos°15 = Sin 30°
There are six clearly distinguishable frogs sitting in a row. Two are green, three are red, and one is blue. Green frogs refuse to sit next to the red frogs, for they are highly poisonous. In how many ways can the frogs be arranged?
Answer:
i believe it is 18
Step-by-step explanation:
green1 green2 blue red1 red2 red3
green2 green1 blue red1 red2 red3
green1 green2 blue red2 red1 red3
green2 green1 blue red2 red1 red3
green1 green2 blue red3 red2 red1
green2 green1 blue red3 red2 red1
green1 green2 blue red1 red3 red2
green2 green1 blue red1 red3 red2
red1 red2 red3 blue green1 green 2 everthing above but this way
Answer:
24
Step-by-step explanation:
What can we say about U?
Answer:
U=2
Step-by-step explanation:
or U is 2 points to the right of T?
Answer: u=2
Step-by-step explanation:
Or is it going by .5
Sam is fencing in his property. The length is 12 feet less than twice the width. If the total amount of fence needed is 216 feet, what is the length of the property? blank feet
Answer:
L = 68 ft
Step-by-step explanation:
To find the perimeter of something you need to add up all the sides
In this case I am assuming Sam's property is a square/rectangle
Which means the formula for the perimeter is P = 2L + 2WIf L = 2W - 12 and P = 216, we can use these values and plug them into our perimeter equation to solve for w and then solve for l
216 = 2(2W -12) + 2W → ditributing the 2 to the (2w - 12) gives us 216 = 4W - 24 + 2W → combing like terms gives us216 = 6W - 24 → adding 24 to both sides gives us 240 = 6W → dividing both sides by 6 gives us40 ft = WWith the width being solved, we can now plug that value into our length equation
L = 2(40) - 12 → distributing the 2 to the 40 gives usL = 80 - 12 → combing like terms give usL = 68 ftGiven GH is tangent to ⊙T at N. If m∠ANG = 54°, what is mAB ? A circle with centre T is given. GH is tangent to the circle which touches the circumference of the circle at point N. From N, a diameter NTB is drawn. A chord AN is also given, this chord forms an acute angle with tangent. mAB = 72 °
Answer:
mAB=72°
Step-by-step explanation:
Theorem:The angle between a Tangent and a Radius is 90 degrees.
Applying the above theorem therefore:
∠ANG+∠ANB=90°
54°+∠ANB=90°
∠ANB=90°-54°
∠ANB=36°
Now, Inscribed Angle=[tex]\frac{1}{2}[/tex] of the measure of the arc
Therefore:
36°=[tex]\frac{1}{2}X[/tex] mAB
mAB=36*2=72°
The measure of arcAB is 72 degrees
Circle geometryAccording to the theorem, the angle between a Tangent and a Radius is 90 degrees.
Applying the above theorem, therefore:
∠ANG+∠ANB=90°
54°+∠ANB=90°
∠ANB=90°-54°
∠ANB=36°
Since inscribed angle = of the measure of the arc
Therefore:
36°= mAB
mAB=36*2=72°
Hence the measure of arcAB is 72 degrees
Learn more on circle geometry here: https://brainly.com/question/24375372
1) - 3 = -11
2) 4 (g – 1) = 24
3) = 0
4) - 40 = 12x + 8
5) - 2p – 3 = -19
6) 13 =
7) - 9 = - 11 +
8) Challenge!!
2q + 10 = 7q
9) d + = -
10) 5 - u =
11) - m - = - 10
12) = + 9q
13) 2 = +
14) c - = c
15) ( w - ) =
16) + 5 = 2
17) - p + = - 3p
18) - 2 n - = - 1
Answer:
1. −3≠−11 (false)
2. g=7
4. x=−4
5. p=8
7. + 2
8. q = 2
10. =−u+5
16. 5≠2 (false) or
'-3' because -3 + 5 = 2
sorry not sure how to do the others :(
Which statements are true regarding undefinable terms in geometry? Check all that apply.
Answer:
A point has no length or width.
A point indicates a location in a coordinate plane.
A plane consists of an infinite set of lines.
A line consists of an infinite set of points.
Step-by-step explanation:
True : A point has no length or width. A point in geometry is a location.
True: A point indicates a location in a coordinate plane.
False: A plane has one dimension, length. A plane has two dimensions.
False: A line has a definite beginning and end. A line goes on forever in both directions so it has infinite length.
True: A plane consists of an infinite set of lines. A plane is a flat surface extending indefinitely in all directions.
True: A line consists of an infinite set of points.A line is a connected set of infinitely many points
We can find the roots of a quadratic function by looking at where it intercepts the x-axis. If a graph is entirely above the x-axis and never intersects it, what would you infer about the roots of the function?
Answer:
It doesn't have any roots
Step-by-step explanation:
If the parabola doesn't intersect the x-axis, then there are no solutions to the equation.
A die has 12 faces numbered 1 through 12. On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 5/12. Which is the most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times?
Answer:
Step-by-step explanation:
5/12 * 300 = 125 times
The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is 125 times.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A die has 12 faces numbered 1 through 12.
And, The theoretical probability of rolling a prime number is 5/12.
Here, On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 5/12.
Hence,
The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is,
⇒ 300 × 5/12
⇒ 1500 / 12
⇒ 125
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ5
To measure the distance across a pond, Sandy and Garrett mark a spot at on
edge of the pond and walk away from each other at a right angle. If Sandy
walked 5 yd and Garrett walked 1 yd less than the distance across the pond, what
is the distance across the pond and how far did Garrett walk?*
Answer:
distance across the pond: 13 yd
distance walked by Garret: 12 yd
Step-by-step explanation:
Data:
distance across the pond: x yddistance walked by Sandy: 5 yddistance walked by Garret: x-1 ydA right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:
x² = 5² + (x-1)²
x² = 25 + x² - 2x + 1
0 = 26 - 2x
x = 13
Please answer correctly ASAP !!!!! WILL MARK BRAINLIEST !!!!!!!!
Answer:
lool thats teams,
Step-by-step explanation:
Anyone knows the answer of this
Answer:
La= 5x
Lb= -8x
Answer:
Step-by-step explanation:
i hope my answer helped u
Find two numbers A
and
B
whose sum
a
+
b
is
−
3
, and whose difference
a
−
b
is
−
7
.
Your answer is
a=
b=
Answer:
the following is the answer , a is -5, b is 2
Use long division to find the quotient below
Answer:
[tex]4x^2-2x+6[/tex]
Step-by-step explanation:
I did it on paper
[tex](8x^3+20x^2+36)/(2x+6)=4x^2-2x+6[/tex]
What does the question mark equal?
Answer:
8
Step-by-step explanation:
the candy = 25
the watermelon = 1
the fish = 4
the peanut = 17
25-17=8
pretty sure its 8 but i just wanna be sure...
Answer:
Yup i'm pretty sure its 8 :D
Step-by-step explanation:
Answer:
yeah, basically certain it 8!!
(05.03 MC)
Look at the figure below:
Triangles ABC and BDC have a common base BC. E is the point of intersection of BD and AC. AE equals EC and ED equals BE.
Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? (1 point)
Triangle ABE and triangle CBE
Triangle AEB and triangle CED
Triangle BEC and triangle DEC
Triangle ABC and triangle DCE
Answer:
Triangle AEB and triangle CED2nd answer is correctStep-by-step explanation:
AE = EC (side)
BE = ED( side)
AEB angle = DEC angle( angle)
Triangle AEB and triangle CED ( SAS)
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
B- Triangle AEB and triangle CED
Step-by-step explanation:
I took the test and it was correct
what is 50% as a decimal?
Answer:
.5
Step-by-step explanation:
When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the "%" sign.
PLEASE HELP ASAP!!! WILL MARK BRAINLIEST!!!
Find the value of x in each case. Give reasons to justify your solutions!
Answer:
x=19
Step-by-step explanation:
Because the angle Y and X are on parallel lines then if you add Y to X you would get 180 so we know that part of Y is 90.
90+2x+3x-5=180
85+5x=180
5x=95
x=19
A $20,000 investment earned a simple interest rate of 5.4%. How much interest was earned in one year?
Answer:
The interest earned in a year was $1080.
Step-by-step explanation:
Since the money was invested at a simple interest rate, then the amount earned in one year is given by the following formula:
M = C*r*t
Where M is the amount earned, C is the amount invested, r is the rate of interest and t is the time elapsed. Applying the data from the problem, we have?
M = 20000*(5.4/100)*1
M = 20000*0.054
M = 1080
The interest earned in a year was $1080.
Answer:
1,080
Step-by-step explanation:
Wendy had 1/2 of her birthday cake left over, so she decided to take it to work.
She shared her cake equally amongst herself and five of her coworkers. What
fraction of the birthday cake does each person get?
Answer:
1/12
Step-by-step explanation:
1/2 divided by 6
that way her and her 5 workers each get the same amount of cake
1/12
Step-by-step explanation:
1/2/6=1/12
Solve the following equation for x
X^2-11x-60=0
A-x=4;x=-15
B-4;x=-15
C-x=4;x=15
D-x=-4;x=-15
Answer:
The answer is x= -4 x= 15
Step-by-step explanation:
Answer:
The answer will be B.
Step-by-step explanation:
Because when you do it like shown you will gt this
Step 1: Factor left side of equation.
(x+4)(x−15)=0
Step 2: Set factors equal to 0.
x+4=0 or x−15=0
x=−4 or x=15
Answer:
x=−4 or x=15
A pole that is 3.1 m tall casts a shadow that is 1.59 m long. At the same time, a nearby building casts a shadow that is 50.75 m long. How tall is the building?
Round your answer to the nearest meter.
Answer:
92 meters high.
Step-by-step explanation:
This problem involves proportion.
Let x be the unknown, which is the height of the building.
height of pole = height of the building
height of the shadow height of the shadow
3.3 m = x
1.78 m 49. 75 m
Solve for x.
(3.3 m) (49.75 m) = x
1.78 m
92.2331460674 = x
Rounded to the nearest meter, the building is 92 meters high.
Hope that helps.