Answer:
i think its 2-/+ [tex]\sqrt{42}[/tex] not sure though sorry
Step-by-step explanation:
A cable 13 meters long runs from the top of a utility pole to a point on the ground 5 meters from the base of the pole. How tall is the utility pole?
Answer:
height of the utility pole = 12 meters
Step-by-step explanation:
It is simple application of Pythagoras theorem.
In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.
The applying Pythagoras theorem.
H^2 = P^2 +B^2
⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144
⇒ P = 12 meters
hence, height of the utility pole = 12 meters
What is the prime factorization of 110?
Answer:
The prime factors of 110 are 2, 5, and 11.
Step-by-step explanation:
First, 110 = 2 * 55
Next, 55 = 5 * 11
Thus, the prime factors of 110 are {2, 5, 11}
Answer:
2 x 5 x 11 = 110.
Step-by-step explanation:
The prime factors of 110 are 2, 5, and 11.
-Factors of 110: 1, 2, 5, 10, 11, 22, 55 and 110
-Prime Factorization of 110: 110 = 2 × 5 × 11
1 × 110 = 110
2 × 55 = 110
5 × 22 = 110
10 × 11 = 110
11 × 10 = 110
22 × 5 = 110
55 × 2 = 110
110 × 1 = 110
can someone help me this is a life or death question
Answer:
3 is vertical angles
1 is same side interior
2 is corresponding angles
4 is straight angles
Step-by-step explanation:
Find two consecutive odd numbers whose sum is 44.
Answer:
21 & 23
Hope that helps!
Step-by-step explanation:
Solve by factoring.
m^2+6m+5=0
Answer:
-1 and -5
Step-by-step explanation:
m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.
The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.
(m + 1) = 0
(-1 + 1) = 0
This means that one of the values for m is -1.
(m + 5) = 0
(-5 + 5) = 0
This means that one of the values for m is -5.
Moreover, the value of m by factoring is -1 and -5
Answer:
[tex]\sf m=-1,-5[/tex]Step-by-step explanation:
[tex]\sf m^2+6m+5=0[/tex]
Factor, m^2+6m+5
Find, the two numbers that add up to 6 and multiply to 5: 1 and 5
Now, Rewrite the expression:
[tex]\sf (m+1)(m+5)[/tex]
[tex]\sf (m+1)(m+5)=0[/tex]
Now, we will solve the non-linear equation, we can apply the zero product theorem. Each variable factor in the original equation needs to be set to zero.
[tex]\sf m+1=0[/tex]
[tex]\sf m+5=0[/tex]
Now, solve each of the 2 equations:
[tex]\sf m+1=0[/tex]
Subtract 11 from both sides:
[tex]\sf m=-1[/tex][tex]\sf m+5=0[/tex]
Subtract 5 from both sides:
[tex]\sf m=-5[/tex][tex]\sf m=-1,-5[/tex]
________________________________________
The graph of f(x) = x2 is shown
Use the parabola tool to graph g(x)
g(x) = (x + 1)2 – 2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola
Answer:
(1,2) is your vertex and (2,3) is your second point
Step-by-step explanation:
Answer:
(0,-1) and (-1,-2)
Step-by-step explanation:
i got it right on the quiz
L Practice & Problem Solving
QU
11.6.PS-15
You want to wrap a gift shaped like the regular triangular prism shown. How many
square inches of wrapping paper do you need to completely cover the prism?
Answer:
xjxjxjzjzjxxjxjxjxjx
If the force is 2500N and the acceleration is 500m/s/s, calculate the mass
Answer:
5kg
Step-by-step explanation:
Here the given force is 2500N and
acceleration is 500m/s²
Now,
F = ma
m = F/a = 2500/500 = 5kg
Thus, The mass is 5kg
-TheUnknownScientist
What is the area of the base?
Answer:
24 in²
Step-by-step explanation:
Hello there!
the figure shown is a triangular prism
The base is the triangle
So we need to find the area of the triangle using this formula
[tex]A=\frac{bh}{2}[/tex]
where b = base and h = height
The base (triangle) has a base length of 8 inches and a height of 6 inches
Having found the information we needed, we plug it into the formula
So
[tex]A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2[/tex]
So the area of the base is 24 in²
What is the correct answer to this
Answer:
Perimeter = 9700 cm
Step-by-step explanation:
Dimensions of sides are;
12, 2x, 12, 5, 5, circumference of semi circle
Now, the semi circle has a radius of 7. Thus, the diameter = 7 × 2 = 14
We see that x is the diameter. Thus, x = 14
Thus; base of trapezium that is 2x = 2 × 14 = 28
Also, circumference of semi circle = 2πr = 2π × 7 = 44
Thus;
Perimeter of shape = 12 + 2(14) + 12 + 5 + 5 + 44
Perimeter = 97 m
Converting to cm, we multiply by 100 to get;
Perimeter = 97 × 100 cm
Perimeter = 9700 cm
Assume that BC is tangent to circle A. Find the value of x. Round your answer to the nearest tenth
Answer:
x ≈ 9.6
Step-by-step explanation:
Δ ABC is right with ∠ C = 90° ( angle between tangent and radius )
Using Pythagoras' identity in the right triangle
x² + 14² = 17²
x² + 196 = 289 ( subtract 196 from both sides )
x² = 93 ( take the square root of both sides )
x = [tex]\sqrt{93}[/tex] ≈ 9.6 ( to the nearest tenth )
Find the area of the composite figure. Round your final answer to the tenth.
Answer:
181.5 in^2 to the nearest tenth.
Step-by-step explanation:
This consists of a rectangle and a triangle.
Area of the rectangle = 10 * 17 = 170 in^2
Area of the triangle:
The base = 17-13 = 4 in.
The height ( that is the vertical line below the rectangle) can be found using Pythagoras:
H = √(7^2 - 4^2) = √33
Area of the triangle = 1/2 * 4 * √33 = 11.489 in^2
Area of the whole figure = 170 + 11.489 = 181.489 in^2,
What is the length of side a? Round to the nearest tenth of an inch
Answer:
ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36
which is proportion can be used to be determine to length of bc
Answer:
4/5=bc/8
Step-by-step explanation:
3 Yolanda asks a random sample of 50 students at her school what they do after
school. Of the 50 students, 30 say they play a sport. Based on the sample, about
what percent of students at Yolanda's school play a sport after school?
A 15%
B 30%
C 50%
D 60%
If Amy bought 2 CDs for $14.00 each, a DVD for $24.99, and a video
game for $37.50, how much change would she get back from a $100 bill?
Answer: Change of $9.51
Step-by-step explanation: Use parenthesis to simplify this, 2(14) + 1(24.99)+1(37.50) = 100. Then subtract accordingly.
Answer:
9.51
Step-by-step explanation:
multiply the cost of the cds by 2, add the DVD and the video game, then subtract that answer with a 100 dollar bill.
What is 127% of 40????
Answer:
50.8
Step-by-step explanation:
What is the length of point AC
the length of point AC is 13.67cm
Probability of rolling a factor of 4 on the first die
Answer:
should be like 1 out of 6 chances
Step-by-step explanation:
Find the Area of this Composite Figure:
8 in
7 in
12 in
Answer:
132in²
Step-by-step explanation:
Solve for x. You must show all of your work to receive credit.
V
5x + 17
23x - 5
W
37x + 5
A circle has a radius of 11 meters. What is the area of the circle?
Answer:
A≈380.13 m²
Step-by-step explanation:
looked it up
Answer:
A= 380.13 m²
Step-by-step explanation:
A=[tex]\pi r^{2}[/tex]
A= [tex]\pi[/tex]x[tex]11^{2}[/tex]
A= 380.13
Without solving, identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions.
2(x−3)=10x−6−8x
1 solution
No Solution
Infinite Solutions
Answer:
Infinite Solutions
Step-by-step explanation:
Simplify both sides and you will see they are equivalent meaning that it has infinite solutions
Alex and Dave sell donuts. Alex earns $11 more than Dave. Let x represent the number of donuts Dave sells. Let y represent the total amount of donuts Alex sells. Which equation shows this relationship
Answer:
y = x + 11
Step-by-step explanation:
x = Number of donuts Dave sells
y = Total amount of donuts Alex sells
Amount earned by Alex = $11 more than Dave's earning
This means y is greater than x by $11
Total amount of donuts Alex sells = Number of donuts Dave sells + $11
y = x + 11
Maria is saving $470 for a new camera. She currently has $256. If she saves $70 per week, how long will it take her to save at least $500 to cover taxes and extras?
Answer:
Number of weeks= 3.63 weeks
Step-by-step explanation:
First, we need to determine the total amount to be saved:
Difference= 500 - 256
Difference= $254
Now, the number of weeks given the following formula:
Number of weeks= amount to be saved / savings per week
Number of weeks= 254 / 70
Number of weeks= 3.63 weeks
There are 150 politicians at a meeting.
They each shake hands with everyone
else. How many handshakes were there?
PLEASE HELP ASAP
Answer:
11175Step-by-step explanation:
Person 1 will shake hands with 149 othersPerson 2 ... 148 (excluding the first person)Person 2 ... 147 (excluding the first two persons)...Person 149 ... 1 (with person 150)Person 150 ... none (already had 149 handshakes)Total handshakes:
1 + 2 + ... 149 = 149(1 + 149)/2 = 11175A polynomal of degree of 2 that has zeros -4 and 2 is
9514 1404 393
Answer:
f(x) = x^2 +2x -8
Step-by-step explanation:
If p and q are zeros of a quadratic, its factored form is ...
f(x) = (x -p)(x -q)
For your zeros, the factored form is ...
f(x) = (x +4)(x -2)
Expanded using the distributive property, this is ...
f(x) = x(x -2) +4(x -2) = x^2 -2x +4x -8
f(x) = x^2 +2x -8
A health club charges a $75 membership fee. Weasley has $300 to spend on a health club membership. Write an inequality to model the number of months that Weasley can afford to be a member of the health club. What is the maximum number of months that he can use the health club?
Answer:
4 months
Step-by-step explanation:
we take $300 ÷$75 which is per month
then we get 4 , which is our months
what is the domain of f?
HELP PLEASE
Answer:
-7 to 7
Step-by-step explanation:
it is the range of the x values
Dada la recta r espacio dos puntos espacio fracción numerador x menos 1 entre denominador 1 fin fracción igual fracción numerador y menos 5 entre denominador menos 3 fin fracción, halla una recta s, paralela a r, y una recta t, perpendicular a r, ambas que pasen por el punto A (-3,1).
Answer:
creo que si
Step-by-step explanation:
primero hacemos lo primero
y luego lo segundo