Answer:
The wire is approximately 42feet long
Step-by-step explanation:
We can mentally sketch out the shape that is formed between the guy wire and the antenna tower. This is simply a right-angled triangle with the opposite side being the height of the antenna (30 feet). The adjacent side is the distance on the ground between the point where the wire was fastened and the base of the antenna.
The hypotenuse side is the length of the wire we are looking for.
Parameters are given as:
Opposite : 30ft
Adjacent: 30ft
Hypotenuse: x feet
The hypotenuse = [tex]\sqrt{opp^2 + adj^2}[/tex]
Hypotenuse =[tex]\sqrt{30^2+ 30^2} \approx 42ft[/tex]
74386 divided by 874
Answer:
85.11
Step-by-step explanation:
Answer:
85.1098398169
Step-by-step explanation:
74386/874=85.1098398169
what is
2/3 of 1/4 of x = 1360
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 8160}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{2}{3} \times \frac{1}{4} \times x = 1360}[/tex]
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term
[tex] \longrightarrow{ \sf{ \frac{2 \times 1}{3 \times 4} \times x = 1360}}[/tex]
[tex] \longrightarrow{ \sf{ \frac{2}{12} \times x = 1360}}[/tex]
[tex] \longrightarrow{ \sf{ \frac{1}{6} x = 1360}}[/tex]
Solve for x
[tex] \longrightarrow{ \sf{x = 1360 \times 6}}[/tex]
[tex] \longrightarrow{ \sf{x = 8160}}[/tex]
Hope I helped!
Best regards! :D
Solve each equation and match them with the correct solution. Column A 1. \large -3x=42 : \large -3x=42 2. \large \frac{x}{-6}=-9 : \large \frac{x}{-6}=-9 3. \large 5x=-105 : \large 5x=-105 4. \large x+37=-25 : \large x+37=-25 5. \large x-42=-15 : \large x-42=-15 6. \large x-\left(-12\right)=-4 : \large x-\left(-12\right)=-4 7. \large x-\left(-6\right)=5 : \large x-\left(-6\right)=5 8. \large 8-x=-12 : \large 8-x=-12 9. \large -9-x=-6 : \large -9-x=-6 10. \large -6+x=17 : \large -6+x=17 11. \large \frac{x}{9}=-42 : \large \frac{x}{9}=-42 12. \large -16=x-8 : \large -16=x-8 13. \large -25=x+17 : \large -25=x+17 14. \large 36=8-x : \large 36=8-x 15. \large -x+6=11 : \large -x+6=11 16. \large -x+8=4 : \large -x+8=4 17. \large 16=4-x : \large 16=4-x 18. \large 85=-5x : \large 85=-5x 19. \large 21=-\frac{x}{7} : \large 21=-\frac{x}{7} Column B a.x=23 b.x=-378 c.x=20 d.x=-62 e.x=4 f.-16 g.x=-28 h.x=-42 i.x=-147 j.x=54 k.x=27 l.x=-17 m.x=-5 n.x=-21 o.x=-12 p.x=-14 q.x=-8 r.x=-1 s.x=-3
Answer:
The answer is below
Step-by-step explanation:
1) -3x = 42
Divide both sides by -3
-3x/ -3 = 42 / -3
x = -14
Answer: p.x=-14
2)
[tex]\frac{x}{-6}=-9\\ \\Multiply\ both\ sides\ by\ -6\\\\\frac{x}{-6}*-6=-9*-6\\\\x=54[/tex]
Answer: j. x=54
3) 5x = 105
Divide both sides by 5
5x/ 5 = 105 / 5
x = 21
Answer: n. x=-21
4) x+37=-25
add -37 to both sides
x+37 - 37 =-25 - 37
x = -62
Answer: d. x=-62
5) x-42=-15
add 42 to both sides
x-42 + 42 =-15 + 42
x = 27
Answer: k. x=27
6)x - (-12) = -4
x + 12 = -4
add -12 to both sides:
x + 12 - 12 = -4 - 12
x = -16
Answer: f. x = -16
7) x - (-6) = 5
x + 6 = 5
add -6 to both sides:
x + 6 - 6 = 5 - 6
x = -1
Answer: r. x = -1
8)8-x = -12
8 - x + x + 12 = -12 + x = 12
x = 8 + 12
x = 20
Answer: c) x = 20
9) -9 - x = -6
x = -9 + 6
x = -3
Answer: s. x =-3
10) -6 + x = 17
x = 17 + 6
x = 23
Answer: a. x =23
11)
[tex]\frac{x}{9} =-42\\multiply\ by \ 9\\\\x = 9*-42=-378[/tex]
Answer: b. x = -378
12) -16 = x - 8
x = -16 + 8
x = -8
Answer: q. x = -8
13) -25 = x + 17
x = -25 - 17
x = -42
Answer: h. x = -42
14) 36 = 8 - x
x = 8 - 36
x = -28
Answer: g. x = -28
15) -x + 6 = 11
x = 6 - 11
x = -5
Answer: m. x = -5
16) -x + 8 = 4
x= 8 - 4
x = 4
Answer: e. x =4
17) 16 = 4 -x
x = 4 - 16
x = -12
Answer: o: x = -12
18) 85 = -5x
x = 85/ -5
x = -17
Answer: l. x= -17
19) 21 = -x/7
x = 21 * -7
x = -147
Answer: i. x = -147
2a/b given a=-3/4 and b=1/2
Answer:
-3
Step-by-step explanation:
2·(-3/4)/(1/2)(-6/4) · (2/1)-12/4-3How many pounds are there in 2 and 1/4 tons? (1 ton = 2000 pounds)
2025
4000
4500
4525
Answer:
4,500
Step-by-step explanation:
Convert 2 1/4 to a decimal
2.25
2,000 x 2.25
= 2.25
Good luck, hope this helped!
All three sides of a triangle are initially 4 m in length. One of the triangle's sides is oriented horizontally. The triangle is scaled down in size without changing any of the angles. What is the new height of the triangle when the area is exactly half of the original triangle's area
Answer:
the new height of the triangle = 2.449
Step-by-step explanation:
Given that:
the sides of the triangle are 4m in length i.e they are equal. It shows that the triangle is known to be an equilateral triangle.
Let say the triangle is a triangle IJK
Let the length of the side to be i = 4
Definitely
IJ = JK = IK = i = 4
If a midline is drawn and cuts the equilateral triangle in two equal halves of a right-angle triangle. Then, suppose the midline is L
Then ;
[tex]JL = \dfrac{1}{2} JK[/tex]
[tex]JL = \dfrac{1}{2} i[/tex]
Let consider triangle IJL
(IL)² = (IJ)² - (JL)²
[tex](IL)^2 = i^2 - \dfrac{i^2}{4}[/tex]
[tex](IL)^2 = \dfrac{3i^2}{4}[/tex]
[tex](IL) =\sqrt{ \dfrac{3i^2}{4}}[/tex]
[tex]IL =\sqrt{3} \dfrac{i}{2}[/tex]
Area of triangle IJK can be expressed as:
[tex]Area = \dfrac{1}{2}\times Base \times Height[/tex]
[tex]Area = \dfrac{1}{2}\times i \times \sqrt{3}\dfrac{i}{2}[/tex]
[tex]Area = \sqrt{3}\dfrac{i^2}{4}[/tex]
where, i = 4
Then:
[tex]Area = \sqrt{3}\dfrac{4^2}{4}[/tex]
[tex]Area = \sqrt{3} \dfrac{16}{4}[/tex]
[tex]Area =4 \sqrt{3}[/tex]
when the area is exactly half of the original triangle's area, the new height is :
[tex]A = \dfrac{1}{2} \times Area[/tex]
[tex]\sqrt{3} \dfrac{i^2}{4} = \dfrac{1}{2} \times 4\sqrt{3}[/tex]
[tex]\dfrac{i^2}{4} = \dfrac{1}{2} \times 4[/tex]
[tex]\dfrac{i^2}{4} =2[/tex]
[tex]i^2 = 8[/tex]
[tex]i= \sqrt{8}[/tex]
[tex]i= \sqrt{4 \times 2}[/tex]
[tex]i= 2 \sqrt{2}[/tex]
Finally, the new height of the new triangle is:
[tex]IL =\sqrt{3} \dfrac{i}{2}[/tex]
[tex]IL =\sqrt{3} \dfrac{2 \sqrt{2}}{2}[/tex]
[tex]IL =\sqrt{3 \times 2}[/tex]
[tex]IL =\sqrt{6}[/tex]
IL = 2.449 m
2 is a solution for
True or False
Answer:
False
Step-by-step explanation:
The open circle means you should not include the number it is on.
The inequality would look like, x<2 and not equal to. Therefore, 2 is not a solution.
Answer:
False
Step-by-step explanation:
When there is an open circle, it means that it can't be that exact number. If there is a closed circle, it can be that number. This is an open circle, and means that it is less than 2.
Order the intger from smallest to largest 10, 9, -5, -2, -6
Answer:
-6, -5, -2, 9, 10
Step-by-step explanation:
Answer:
-6,-5,-2,9,11
Which best explains how to subtract one integer from another?
Answer:
Option (3)
Step-by-step explanation:
Integers are the numbers which don't have a fractional part (having positive of negative notations)
Example; -2, -1, 0, 1, 2,...
Let the two integers are 0 and 2,
Subtraction of these integers will be = 0 - 2
= 0 + (-2)
Here opposite of 2 has been added to 0.
That means subtraction of two integers is to add the opposite of the integer being subtracted.
Option (3) will be the answer.
can i pleaseee have hellpp
Answer:
LOM= 130º
Step-by-step explanation:
Combine the two equations and set it to equal 180º(LON), 180º=12x+120º
next subtract 120º from both sides, 60º=12x. Now divide both sides by 12, 5=x. Now you can plug 5 back into the original equation to calculate MON, 8x5+90º
Answer:
∠MON = 130
Step-by-step explanation:
∠LON = 180°
∠LOM + ∠MON = 180 -------equation
where:
∠LOM = 4x + 30
∠MON = 8x + 90
plugin values into the equation
4x + 30 + 8x + 90 = 180
4x + 8x + 30 + 90 = 180
12x = 180 - 30 - 90
12x = 60
x = 60/12
x = 5
plugin values to ∠MON = 8x + 90
∠MON = 8x + 90
∠MON = 8(5) + 90
∠MON = 130
The numbers are 52,55,58,58,62,62,65,68. Which dot plot represents this information
Answer:
B.
Step-by-step explanation:
The answer is B because if you look at the graphs it should be easy to tell
7
It takes
2
yd of ribbon to make a hair bow. How much ribbon is needed to make 7 bows?
Answer: 14 yrds
Step-by-step explanation: 2 times 7= 14
Show that if x is any real number, there is a sequence of rational numbers converging to x.
Answer:
It has been proven from the explanation.
Step-by-step explanation:
If we assume that the real number x is greater than 0. Now, If on the contrary, a is less than 0, we can make the argument that;
Let us make n to be a natural number and m = m(n) to be the largest positive integer in such a way that;
m/n < x
Thus, (m+1)/n ≥ x and finally;
|x - m/n| < 1/n
If r_n = m/n. It will be easy to show from the definition of limits that the sequence (r_n) has limit x.
From earlier where we assumed that x > 0, the numbers that will be obtained by truncating the decimal expansion of "x" at the n-th place will be rational, and clearly have the limit "x". Although it implies we are now assuming every real number will have a decimal expansion.
I need help plz help me
Answer:
The answer would be 20.
Step-by-step explanation: The area is 4 x 5 which equals 20.
What is the vertex of the parabola in the graph?
Answer:
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).
mark me brainlest
Answer:
(-3, -4)
Step-by-step explanation:
Delilah does 184 jumping jacks in four minutes she does her jumping jacks at a constant rate how many jumping jacks Can Delilah do per minute
Answer:
Delilah can do 46 jumping jacks per minute.
Step-by-step explanation:
Can y’all help me write this down?
Answer:
below
Step-by-step explanation:
[tex]\frac{(-3)}{7}[/tex] and [tex]-(\frac{3}{7} )[/tex] [tex]\frac{-5}{9}[/tex] and [tex]-(\frac{5}{9})[/tex]Bill Granger is a parts clerk. He worked a total of 46.25 hours from Monday to Friday this week. If his regular pay is $12.75 per hour, how much overtime pay did Bill earn?
Answer:
His extra pay would be of $79.69
Step-by-step explanation:
Assuming that the clerk works regular 40 hour per week, then he has worked 6.25 extra (overtime) hours this week. Then his extra pay for overtime work would be:
6.25 times $12.75 = $79.69
Find the missing side length.
I’m new to the app and just trying to figure out how thinks work :) sorry
Answer:
7 ft
Explanation:
15 - 8 = 7
Answer:
The missing side length is 7
Step-by-step explanation:
Simply subtract 8 from 15
15-8=7
The missing side length is 7
Hope this helps! Plz award Brainliest : )
At the start of a race, a runner’s velocity changes from 0 to 4,0 m/s. It takes him 2 seconds to speed up. His
acceleration is ___ m/s2.
Please answer with a explanation if you can.
Answer:
2 m/s²
Step-by-step explanation:
Given:
v₀ = 0 m/s
v = 4.0 m/s
t = 2 s
Find: a
a = (v − v₀) / t
a = (4.0 m/s − 0 m/s) / 2 s
a = 2 m/s²
Answer:
At the start of a race, a runner’s velocity changes from 0 to 4.0 m/s. It takes him 2 seconds to speed up. His acceleration is 2 m/s2.
Explanation:
Acceleration is the rate at which velocity changes. To find the acceleration, divide the change in velocity (final velocity − initial velocity) by the time interval. In this example, the change in velocity is 4.0 m/s in 2 seconds. So, divide 4.0 by 2.
I hope this explanation helps you understand accelerations!
PLEASE HELP Complete the table below to find solutions to the linear equation y=5x+35.
When answering the third column (x,y), use parentheses and a comma but do not include a space between numbers.
Answer:
x | y | (x,y)
0 | 35 | (0,35)
3 | 50 | (3,50)
-7 | 0 | (-7,0)
Step-by-step explanation:
Given the equation: [tex] y = 5x + 35 [/tex], to complete the table, plug in the value of x given in the table in each row, to find y.
When x = 0,
[tex] y = 5(0) + 35 [/tex]
[tex] y = 0 + 35 [/tex]
[tex] y = 35 [/tex]
(0,35)
When x = 3,
[tex] y = 5(3) + 35 [/tex]
[tex] y = 15 + 35 [/tex]
[tex] y = 50 [/tex]
(3,50)
When x = -7,
[tex] y = 5(-7) + 35 [/tex]
[tex] y = -35 + 35 [/tex]
[tex] y = 0 [/tex]
(-7,0)
Ashley can ride her bicycle 15 miles
If your question is: Ashley can ride her bicycle 15 miles in 2 hours. There are 60 miniutes in an hour and there are 1760 yards in 1 mile. How many yards does Ashley travel each minute?
____________________________________
First, do 15 miles divided by 2 hours. In addition, do 1 hour divided by 60 minutes (1). Thus, do 1760 yards divided by 1 mile. Therefore, you can multiply these together to get 220 yards/min.
Best of luck!
Which absolute value function opens down?
1)y = 2|x- 5|
2)y = [X + 1|-7
3)y = -|X+ 4 |+ 8
4)y = 1/4|X-9|
Answer:
3) y = - | x + 4| + 8Step-by-step explanation:
The general form of an absolute value function is
f(x)=a|x-h|+kIt opens up if a> o and opens down if a < 0
From the given functions:
y = - | x + 4| + 8, opens downsee attached for reference
Use the graph of the function to find domain and range. Write in interval notation.
Answer:I am not sure dont come at me but 9.5
Step-by-step explanation:
(6 + 4)^2 + (11+ 10/2) Simplifyyyyy
Answer:
116
Step-by-step explanation:
we do pemdas so start with parenthesis
6+4=10
10 squared =100
then we divide before adding so
10/2 = 5+11= 16
100+16= 116
A circular spinner is divided into sectors of equal area: red sectors, blue, yellow, and green. Consider the experiment of spinning the spinner once. Find the probability that the spinner lands on blue.
Answer:
1/4
Step-by-step explanation:
There are 4 different sectors and each sector has 1 chance.
Solve for x: x − 2 > 2x + 12
Answer:
x < -14
Step-by-step explanation:
Solve the inequality x − 2 > 2x + 12 for x:
First, subtract x from both sides. In the resulting inequality x is on the right side with +12:
-2 > x + 12
Subtract 12 from both sides to isolate x:
-14 > x OR x < -14
.07 is ten times as much as what?
Answer:
.07 is ten times as much as 0.007
Step-by-step explanation:
If you divide .07 by 10 the answer would be 0.007 <3
What would be the grade and slope of a totally flat road?
Answer:idk
Step-by-step explanation:idk
Answer:
Zero
Step-by-step explanation:
The grade percentage level would be zero therefore the slope is zero.
Which is more -1.5 or -3/2
Answer:
there are the same
Step-by-step explanation:
-3/2 equals -1.5
so -1.5 equals -3/2
