Solve for x using
cross multiplication.
4x - 4
4x - 4
7
x + 3
x = [?]
Answer:
x = 29
Step-by-step explanation:
Multiply both sides by 7:
[tex]4x-4=\frac{7x+21}{2}[/tex]
Multiply both sides by 2:
[tex]8x-8 = 7x+21[/tex]
Subtract 7x from both sides:
[tex]x-8=21[/tex]
Add 8 to both sides
[tex]x=29[/tex]
1) When Samuel goes to school, he has to walk 480 yards east of his house and then 360 yards south to arrive to his school. How far does he have to walk to get to school from his house? If he decides that he will cut his distance by going across a park directly from his house to school how far will he have to walk? By how much is it shorter to go across the park then going around the park?
In your picture, you should have the house, the school, the path from the house to school around the park and path from the house to school across the park. Label the path around the park with their values. Label the path across the park with a variable. The path across the park and the path around the park form a right triangle with the right angle between the two parts of the path around the park. Label the right angle. Since the paths form a right triangle, you can use Pythagorean theorem to find the distance from the house to school across the park. The general Pythagorean formula is a2 + b2 = c2 where a and b represent the legs and c represents the hypotenuse.
Once you find the distance, find out the total distance Samuel has to travel around the park. Then you will be able to find out by how much farther it to go around the park.
2) A 100 feet tower needs an anchor line. For the tower to be stable, the anchor line has to be attached to the top of the tower with its other end on the ground 32 feet from the tower. How long has to be the anchor line for the tower to be stable?
Sketch the picture of the tower, the anchor line and the distance from the tower. You will form a right triangle with the right angle between the tower and the ground. Label the height of the tower and the distance from the tower. Label the length of the anchor line with a variable. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1.
3) You want to buy a new tv. In a store, you see a tv that you like with a diagonal of 20 inches and length of 16 inches. Will this tv fit on a shelf that is 13 inches high?
Sketch the picture of the frame of the tv. Draw the diagonal of the tv. Label the diagonal and the length of the tv. To find out if the tv fits on the shelf, you will have to find the height of the tv. The diagonal of the tv and its length and height form a right triangle with the right angle between the length and the height of the tv. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1. Once you find the height of the tv, explain whether it will fit on the shelf or not and why.
Answer:
3 i think??
Step-by-step explanation:
giving out brainliest answer !!!! help me out asap please !!!!
Answer:
Not 100% sure, but its either 28 or 90, Sorry if i messed you up.
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
SOH-CAH-TOA
I used this and chose 2 sides, I chose 15 and 8, ill show you with a pic...
I then put it in the calculator and then got my answer rounded it and I added 90+62= 152 180-152= 28 degrees
If this doesnt make sense tell me Ill try to explain it better.
is this a function? please explain if possible...
It is a function. Every x value is different.
Someone please help
Answer:
m= -1
Step-by-step explanation:
Which number has a greater value than |-2.6|?
A. -2.9
B. -|7|
C. -2.6
D. |-6|
Answer:
B (7)
Step-by-step explanation:
If you put a number in absolute value bars,
please help me ASAP!!!
Answer: 8
Because 8 - 11 = -3
Hope it helps.
Answer:
add a positive 8
Step-by-step explanation:
if you add a positive 8 so you will minus by 8 and you get -3 cause negative -11 is bigger then positive +8
So basically I want to know how many copies of 1 twelfth are equivalent to 3 sixths.
Answer:
We have seen in the above example that 12, 24 and 48 are equivalent fractions. Therefore, 12 can
Need the answer for x and y
Answer:
x = 5°
y = 4°
Step-by-step explanation:
21x + 75 = 180
21x = 105
x = 5°
25y + 5 + 75 = 180
25y = 100
y = 4
EASY MATH QUESTION
the original price of a soccer ball is $25.00. if the soccer ball is discounted 25%, what is the new price?
Answer:
18.75 is the new price
if <a is 89.5, what is the measure of its complementary angle?
Answer:
The complement of an angle is what, when added to it, equals 90 degrees (90°). For example, in your problem, 90°-85°=5°. This means that the complement of 85° is 5°, since they add up to equal 90 degrees a right angle.
The supplement of an angle is what, when added to it, equals 180 degrees.
For example, in your problem, 180°-85°=95°. This means that the supplement of 85° is 95°, since they add up to equal 180 degrees a straight angle.
A survey found that 20% of the people in Fiji drive the car without seatbelt. If 3 people are randomly selected, find the probability that at least 2 drive without seat.
Answer:
0.104 = 10.4% probability that at least 2 drive without a seatbelt.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they drive without a seatbelt, or they do not. The probability of a person driving without a seatbelt is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of the people in Fiji drive the car without seatbelt.
This means that [tex]p = 0.2[/tex]
3 people are randomly selected
This means that [tex]n = 3[/tex]
Find the probability that at least 2 drive without a seatbelt?
This is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{3,2}.(0.2)^{2}.(0.8)^{1} = 0.096[/tex]
[tex]P(X = 3) = C_{3,3}.(0.2)^{3}.(0.8)^{0} = 0.008[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) = 0.096 + 0.008 = 0.104[/tex]
0.104 = 10.4% probability that at least 2 drive without a seatbelt.
ILL GIVE BRAINLEST, find the value of x
Answer:
x=90 degrees
Step-by-step explanation:
It is a right corner. Please give branliest
Simplify the expression.
4y + 3( y+1) + 2 (x + 5)
Answer:
4y + 5x + 13
Step-by-step explanation:
4y + 3(y + 1) + 2(x+5)
Distribute
4y + 3y + (3 x 1) + 2x + (2 x 5)
4y + 3y + 3 + 2x + 10
Combine like terms
4y + 5x + 13
Find the value of x. Round to the
nearest tenth.
х
12
4
X =
= [ ? ]
Use cosine trigonometric relation.
[tex] Cos~x=\frac{Adjacent} {Hypotenuse} \\\\ \to cos~x=\frac{4}{12} \\\\ \to cos~x= \frac{1}{3} \\\\ x=arccos(\frac{1}{3})\\\\ x \approx 70°[/tex]
Answer:
70.5
Step-by-step explanation:
We use cosine (adjacent over the hypotenuse) to calculate this:-)
what's a rational number between 13 and 21
Answer:
21
Step-by-step explanation:
Need help if you have the time and i need explanation for this (NO LINKS PLS)
Answer:
ask ur question i will try to help
Step-by-step explanation:
PLS HELP TIMEDDDDDD I NEED HELP
Answer:
Option 3: 81 pi cu. in
Step-by-step explanation:
What number does point A represent???
Answer:
1 1/2
Step-by-step explanation:
I need help understanding these problems.
Answer: 7. x= 26, 9. x=11/y=3
Step-by-step explanation: Sorry for the terrible photo quality. Comment if you need more help : )
So, for the first examples given set all of the equations as equal to the other angle equation given.For problems like number 9, solve for the x's first (or whichever variable there's more of) you should solve for the x's like you did for the first problem, then set the equation to an A+B=180 format. The reason for this is two angles (in some cases more) on a straight line together will always equal 180 degrees. For 10. set the equations with x in them to that A+B=180 format. Then once you've found x plug it into 6x-7. When you have that answer set 8y+17 equal to the answer you got and solve for y.For 11 and 12. These ones can be a bit more complicated because of their visual appearance, however you just need to combine the earlier steps taken to solve the first couple of equations. Beginning with 12. If you ever see a Z pattern, know that the sides facing > and < ( the inside angles of the Z) are equal to each other. So you set the equations with x equal to each other, and once you get x plug it into the equation inside of the triangle. Since you've already been given 90, set the equation up like this: 43+90+(7y-20)=180. Because all the angles in a triangle are equal to 180 degrees. Then just solve for y. y=9Lastly for number 11. This one is by-far the hardest of all of them. You have to adjust how you look at the problem. You'll see that if you add (3x+49) it's actually congruent to (7x-23). once you figure out x you should then plug x into 3x giving you 54. The set up the equation like this 11y-1=54. That will give you y=5.I need this today plz help
Answer:
the answer is either A or C
Step-by-step explanation:
I'm not sure if it's going from Triangle O to Triangle N
Or if its going from Triangle N to O
A mirror has a parabolic surface defined by the equation y =¹⁄₂₄ x² with the vertex (0, 0) at the center of the mirror. When the width of the mirror is 8 inches, what is the depth, y, of the mirror?
A.) ¹⁄₃₆ in.
B.) ⅙ in.
C.) ⅔ in.
D.) 2⅔ in.
Answer:
ITS C: 2/3 in.
Step-by-step explanation:
edg 21 ^u^
What is the length of FG?
(Picture of Question Below!)
A. 1.2
B. 3
C. 3.6
D. 4 ( IT IS NOT D!)
E. 6
9514 1404 393
Answer:
C. 3.6
Step-by-step explanation:
AC = FA + FC = 4+6 = 10
AC is the hypotenuse of right triangle ABC, which has leg BC = 8. Then the length of AB is given by the Pythagorean theorem as ...
AB² +BC² = AC²
AB = √(10² -8²) = 6
The side lengths of these similar triangles are proportional, so you have ...
FG/FC = AB/AC
FG = FC(AB/AC) = 6(6/10)
FG = 3.6
PLS HELP WILL GIVE BRAINLIEST
Answer:
32 percent
Step-by-step explanation:
8,000×400÷100
Complete the equation using an area model 6 3/4 x 3 2/5=
Answer:
22.95
Step-by-step explanation:
Will give brainliest
Find the lateral surface area of
the following cylinder:
3 cm
3 cm
LSA = [ ? ]i cm2
Leave your answer in terms of ri.
Enter the number that goes in the green box.
Answer:
18Step-by-step explanation:
Given,
Radius of the cylinder = 3cm
Height of the cylinder = 3cm
Therefore,
Lateral surface area of the cylinder
[tex] = 2\pi rh[/tex]
[tex] = 2\pi \times 3 \times 3 {cm}^{2} [/tex]
[tex] = 2\pi \times 9 {cm}^{2} [/tex]
[tex] = 18\pi {cm}^{2} [/tex]
Hence,
The required value in the green box will be 18 (Ans)
Answer:
18 pi
Step-by-step explanation:
hop this helps
Hannah invested $96,000 in an account paying an interest rate of 6\tfrac{1}{2}6 2 1 % compounded quarterly. Evelyn invested $96,000 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Evelyn's money to double than for Hannah's money to double?
Answer:
.37 years
Step-by-step explanation:
I did this one in delta math
pls help!
find the area
Answer:
Area of circle = πr²
22/7*11*11
2662/7
380.13 in² is your answer ☺️☺️☺️
Please help I’ll mark you as brainliest if correct!
Answer:
oh, easy it’s 25:)
Step-by-step explanation:
The vertex of this parabola is at (2,-4). When the x value is 3, the y value is -1. What is the coefficient of the squared expression in the parabolas equation?
A.1
B.-2
C.5
D.3
Answer:
the coefficient of the squared expression in the parabolas equation: D. 3
Step-by-step explanation:
y = a (x-h)² + k parabola equation
y=-1 and x=3 vertex(h,k): (2,-4)
-1 = a * (3-2)² + (-4)
-1 = a - 4
a = -1 + 4 = 3
equation: y = 3 * (x-2)² -4
Answer:
d !
Step-by-step explanation: