There is a rope running from the
top of a flagpole to a hook in the
ground. The flagpole is 6 meters
high, and the hook is 8 meters
from its base. How long is the
rope?
Answer:
10 meters
Step-by-step explanation:
Use the Pythagorean Theorem for this one:
[tex]a^{2} + b^{2} = c^{2}[/tex]
If a = 6, b = 8, then:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]6^{2} + 8^{2} = c^{2}[/tex]
[tex]\sqrt{6^{2} + 8^{2}} = c[/tex]
[tex]\sqrt{36 + 64} = c[/tex]
[tex]\sqrt{100} = c[/tex]
[tex]10 = c[/tex]
[tex]c = 10[/tex]
According to the Pythagorean theorem, if the flagpole is 6 meters high and the hook is 8 meters from its base, the rope is 10 meters long.
Hope this helps!
Chang made 6 identical necklaces each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces was $42.60. If the beads cost a total of $22.20, how much did each pendant cost?
Answer:
One pendant costed $3.40
Step-by-step explanation:
please help solve....
For what value of p would the statement 5p = 30 be true
Answer:
p = 6 is the answer
Step-by-step explanation:
Write an expression that can be used to find the total cost of 7 bikes at $85.00 each and 4 helmets at $25.50 each.
Answer:
85x7+ 25.50x4
Step-by-step explanation:
Find the product in simplest form.
9/10 times 5/7
A 1 13/50
B 9/14
C 14/17
D 4/7
Answer:
B 9/14
Step-by-step explanation:
First, we have to find the product by doing the multiplication.
9/10 x 5/7 = 45/70
We have to find the greatest common factor that both the numerator and the denominator share to divide them by which is 5.
We can simplify 45/70 by dividing both the numerator and the denominator by 5.
This will give us 9/14.
We also know that this fraction cannot be simplified anymore since we took the greatest common factor that both the numerator and the denominator shared.
Therefore the answer is B 9/14
(sorry if this is confusing but I hope it helped anyway)
PLS HELP!! answer the pic below
What is the slope of the line that passes through the points
(
−
4
,
−
3
)
(−4,−3) and
(
14
,
0
)
?
(14,0)? Write your answer in simplest form.
Answer
y= 1/6x -2.3
Step-by-step explanation:
hope this helps :)
The slope of the line passing through (-4, -3) and (14, 0) is 1/6.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
The slope of the line passing through (-4, -3) and (14, 0) is:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{0-(-3)}{14-(-4)} \\\\m=\frac{3}{18} \\\\m=\frac{1}{6}[/tex]
The slope of the line passing through (-4, -3) and (14, 0) is 1/6
Find out more at: https://brainly.com/question/13911928
An architectural drawing of a building shows the elevation of the basement floor to be –10 feet. The elevation of the roof is 40 feet. How far is it from the basement to the roof?
HELP I NEED HELP ASAP ILL GIVE U BRAINILEST!
(a).
36 players = 100%
? = 10%
(36×10) / 100%
= 3.6 gloves for left hand players.
Explanation :- Object needs to be in full form whereas 3.6 would be written as only 3 gloves in full.
Ans: Yes. Total gloves were enough.
(b).
36player gloves = 100%
7 lefties = ?
=700/36 = 19.4%
=19.4444444 as recurring would be,
19 % (nearest to whole percent) DONE ✅.
Write the value of ten nickels as a decimal.
pls thx :)
Answer:
0.10
Step-by-step explanation:
Answer: (Read tell the end you wont regret it) Hi, I am so very sorry, I do not know this but I need more points so please appropriate this. Once again i'm sorry
Step-by-step explanation:
Answer: 10 nickels + 5 dimes = 1 dollar.
10 cents of a dollar is written $0.10. 1 dollar and 1 cent is written $1.01. 1 dollar and 10 cents is written $1.10.May 6, 2019
Just trying everything I found im sorry :(
SOMEONE DO NUMBER 13 AND 14 FOR ME ASAP!! GIVING BRAINLIEST!!!!
Answer: 13 An improper fraction is always 1 or greater than. A mixed number is a combination of a whole number and a proper fraction. In a proper fraction, the numerator is always less than the denominator.
14 they are not equivalent.
Step-by-step explanation:
Can someone help me with this please
Answer:
1) C=80°
2) A=C= 54°
Step-by-step explanation:
1) 180-60-40=80
2)180-72=108
108/2=54
Hope this helps! :)
Answer:
1. 80º
2. Both are 54º
Step-by-step explanation:
1. If you add 60º + 40º in problem 1, you get 100º. We need to get it to equal 180º, so this means the missing angle would be 80º
2. Just like in the first one, we need this to equal 180º. So, let's go backwards.
180 - 72 = 108
Now, since the remaining angles are equal, let's divide 108º by 2
108 / 2 = 54º
Hope this helps :)
is it possible to draw a triangle with numbers 5,6,11
Answer:
No
Step-by-step explanation:
Let's use the Pythagorean Theorem. For those of you that don't know, it is [tex]a^2 + b^2 = c^2\\[/tex].
11 is the bigger side in this case, so our formula would go like this: [tex]5^2 + 6^2 = 11^2\\[/tex].
We now calculate to see if this is true.
25 + 36 [tex]\neq[/tex] 121
Therefore, the answer is wrong.
WORTH 25 POINTS!!!!! Three times as many adults as students attended a game. The total attendance was 480. If 3x + x = 480 models this situation,
which two statements are true?
A)
3x = number of students
B)
x = number of adults
480 - X= number of adults
D)
360 adults attended.
E)
200 children attended.
Answer:
B x= number of adults 480-x = number of adults
Choose 3 numbers to add to give you a total of -16.
Answer:
-4+-5+-7=-16
Step-by-step explanation:
A line has a slope of 6 and a y-intercept of 5. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
The equation in slope-intercept form is y = 6x + 5
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptLet us solve the question
∵ A line has a slope of 6
∵ m is the slope of the line
∴ m = 6
∵ The line has a y-intercept of 5
∵ b is the y-intercept
∴ b = 5
→ Substitute the values of m and b in the slope-intercept form
∵ y = m x + b
∴ y = 6x + 5
∴ The equation in slope-intercept form is y = 6x + 5
You can represent the measures of an angle and its complement as tº and (90 – x)". Similarly, you can represent the measures of an angle and its supplement as x° and (180 – x)". Use these expressions to find the measures of the angles described.
1. The measure of an angle is three times the measure of its supplement.
2. The measure of the supplement of an angle is three times the measure of its complement.
3. The measure of an angle increased by 20° is equal to the measure of its complement.
Answer:
180° - t = 5 · ( 90° - t )
180° - t = 450° - 5 t
5 t - t = 450° - 180°
4 t = 270°
t = 270° : 4
t = 67.5°
The measure of an angle is 67.5°.
Its complement angle: 22.5°.
Its supplement angle: 112.5°
112.5° = 5 x 22.5°
i hope this is right <3
HELPPP!!!!!!!!!!!!!!!! PLEASE! :D
Answer:
The solution to the inequality is:
[tex]-1\le \:x\le \:3[/tex]
The line graph of the solution is also attached.
Step-by-step explanation:
Given the expression
[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]
solving the expression
[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]
[tex]\mathrm{If}\:a\le \:u\le \:b\:\mathrm{then}\:a\le \:u\quad \mathrm{and}\quad \:u\le \:b[/tex][tex]4x-1\le \:5x\quad \mathrm{and}\quad \:5x\le \:3\left(x+2\right)[/tex]
solving
[tex]4x-1\le \:5x[/tex]
Add 1 to both sides
[tex]4x-1+1\le \:5x+1[/tex]
Simplify
[tex]4x\le \:5x+1[/tex]
Subtract 5x from both sides
[tex]4x-5x\le \:5x+1-5x[/tex]
simplify
[tex]-x\le \:1[/tex]
Multiply both sides by -1 (reverse inequality)
[tex]\left(-x\right)\left(-1\right)\ge \:1\cdot \left(-1\right)[/tex]
Simplify
[tex]x\ge \:-1[/tex]
Similarly solving
[tex]5x\le \:3\left(x+2\right)[/tex]
Subtract 3x from both sides
[tex]5x-3x\le \:3x+6-3x[/tex]
Simplify
[tex]2x\le \:6[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}\le \frac{6}{2}[/tex]
Simplify
[tex]x\le \:3[/tex]
So combine the interval
[tex]x\ge \:-1\quad \mathrm{and}\quad \:x\le \:3[/tex]
Merge overlapping intervals
[tex]-1\le \:x\le \:3[/tex]
Therefore, the solution to the inequality is:
[tex]-1\le \:x\le \:3[/tex]
The line graph of the solution is also attached.
The postal service offers flat-rate shipping for priority mail in special boxes. Today, Duncan shipped 10 small boxes and 9 medium boxes, which cost him $149 to ship. Meanwhile, Hannah shipped 7 small boxes and 1 medium box, and paid $46. How much does it cost to ship these two sizes of box?
Answer:
298
Step-by-step explanation:
Carla believes that the number of hours of video games a student plays is predictive of the student's grade point average. Which value
represents a correlation coefficient that would strongly support Carla's belief?
Answer:
Negatively Correlated
Step-by-step explanation:
Number of video games played is likely to be negatively correlated to student's grade.
Negative correlation means that the variables deviate in opposite directions, one variable increase (decrease) & other variable decrease (increase).
As more video games played implies lower student grade, less video games played higher student grade. So, the variables are negatively correlated.
Whether the variables are strongly negatively correlated (correlation coefficient > 0.5) or weekly correlated (correlation coefficient < 0.5). It depends on how severely video games affect student's performance.
What is the value of x in the diagram below?
49
14
2
The value of x in the diagram is 7 (D) because 2 * 7 = 14 and 7 * 7 = 49.
The value of x in the given diagram will be 7.
What are similar triangles?Similar triangle are those which have two pairs of interior corresponding angles are equal.
We have,
Two triangles as shown in the given figure,
Now,
Both the given triangles have 90° corresponding angles and also the opposite angle of 90° of both triangles is equal.
So,
Using triangle similarity rule,
i.e.
Sides are in equal proportion,
i.e.
[tex]\frac{49}{x} =\frac{14}{2}[/tex]
⇒
14x = 49 × 2
14x = 98
[tex]x=\frac{98}{14}[/tex]
x = 7
Hence, we can say that the value of x in the given diagram will be 7.
To know more about similar triangle click here
https://brainly.com/question/12460919
#SPJ2
john drops a probe into a lake. the elevation of the probe changes by -1 1/2 feet every second. the probe takes 50 seconds to reach the bottom of the lake. how deep is the lake show your work
Answer:
The lake is 75 ft deep
Step-by-step explanation:
Here , we want to get the depth of the lake
mathematically, we can have this as the rate at which the elevation of the probe changes multiplied by the time it took the probe to reach the bottom of the lake
That would be;
3/2 * 50 = 75 feet
Which expression is equivalent to (-7m* + 15m2 – 12m?) + (3m® – 12m* -zma),
m-6
O 3m*+mo+2m2
O 3m5 - 19m+ +8m3 - 12m2
3m4-ma+2m2
3m4 - 19m2 +8m2 - 12m
Answer:
[tex]3m^4-m^3+2m^2[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{(-7m^4 + 15m^3-12m^2)+(3m^5-12m^4-7m^3)}{m-6} \\\\Firstly\ simplify\ the\ bracket\ should\ be\ :\\\\=\frac{-7m^4 + 15m^3-12m^2+3m^5-12m^4-7m^3}{m-6}\\\\collect\ like\ terms\ together:\\\\=\frac{3m^5-7m^4-12m^4 + 15m^3-7m^3-12m^2}{m-6}\\\\=\frac{3m^5-19m^4 + 8m^3-12m^2}{m-6}\\\\=\frac{m^2(3m^3-19m^2+8m-12)}{m-6}\\\\=\frac{m^2(m-6)(3m^2-m+2)}{m-6} \\\\=m^2(3m^2-m+2)\\\\=3m^4-m^3+2m^2[/tex]
Answer:
c
Step-by-step explanation:
Convert 3 quarts to pints.
Answer: 6 pints
Step-by-step explanation:
Multiply the quarts by 2
Identify the transformation in which every point of a figure is moved to the same distance in the same direction.
O. Glide Reflection
O. Translation
O. Rotation
O. Reflection
Answer:
reflection
Step-by-step explanation:
think of it as looking in a mirror
HELP ME PLEASE I REALLY NEED IT!!!
Suppose a normal distribution has a mean of 34 and a standard de ration of 2. What is the probability that a data value is between 30 and 362 Pound your answer to the nearest tenth of a percent. A. 82.9% B. 83.9% C. 81.9% D. 84.9%
Answer:
so my name is cene and i have that question and its b
Step-by-step explanation:
Answer: 81.9
Step-by-step explanation:
Just took the quiz
I need the equation that passes through the point
Answer:
y=4/3x+0
Step-by-step explanation:
slope intercept form works right?
y=mx+b
the m is the slope, and the problem gives us the slope. (4/3)
the b is the y intercept (where the line goes through the y) so on our coordinates, the second number is the y, so we have y=4/3x+b
HTH!!
2 Name the diameter of the circle shown.
A co
B ec
C eo
D rc
Answer: a
Step-by-step explanation: