Answer:
12 feet
Step-by-step explanation:
It's a classic 5-12-13 triangle or you can used the Pythagorean Theorem:
[tex]13^{2} -5^{2}=x^{2} \\169-25=x^{2} \\144=x^{2} \\12=x[/tex]
Answer:
The tree is 12 about feet high.
Step-by-step explanation:
The way to find the answer is with Pythagorean Theorem.
The ladder is 13 feet and is the hypotenuse or c.
13^2
The 5 feet away from the tree is one of the two legs or a
5^2
We are trying to find the second leg, b.
b^2
Now you write the formula:
c^2=a^2+b^2
Then insert the numbers:
13^2=5^2+b^2
The isolate the variable:
Subtract 5^2 on each side
13^2 - 5^2=b^2
Now flip the expression so the variable is on the left side:
b^2=13^2 - 5^2
Simplify:
b^2=169 - 25
Simplify:
b^2= 144
Square root both sides to get the variable alone:
srt b^2 is b
srt 144 is 12
b=12
Don't forget units!
The tree is 12 feet high
Please help asap! I don’t really understand
Answer:
x² +3x -8x -24(x² +3x) +(-8x -24)x(x +3) -8(x +3)(x +3)(x -8)Step-by-step explanation:
This is trying to help you understand a method of factoring trinomials.
The first step is to look at the linear term (-5x) and the constant term (-24) and identify the coefficients and their signs: -5 and -24.
The next step is to identify factors of -24 (the constant) that have a sum equal to -5 (the linear term coefficient). We can look at the ways that -24 can be factored:
-24 = 1(-24) = 2(-12) = 3(-8) = 4(-6)
The sums of these factor pairs are 1-24=-23, 2-12=-10, 3-8=-5, 4-6=-2. Of course, the pair we're looking for is +3 and -8.
The next step from here is to rewrite the linear term using these factors. (-5x=3x-8x) This is the first step of the sequence shown in the figure:
x² +3x -8x -24
The next step is to group these terms in pairs:
(x² +3x) +(-8x -24)
And then, to factor each pair using the distributive property:
x(x +3) -8(x +3)
Finally, finish the factoring, again using the distributive property:
(x +3)(x -8)
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
9/13
Step-by-step explanation:
rise = y₂ - y₁ = -1 - (-10) = -1 + 10 = 9
run = x₂ - x₁ = 9 - (-4) = 9 + 4 = 13
Step-by-step explanation:
need help asap use the screen shot
Answer:
7 and 37
Step-by-step explanation:
Imagine our 3rd side becoming smaller and smaller. In the ultimate case the triangle will be a flat line, and the two other lines overlap. The third line will have to be 7, to get from 15 to 22 (22-15=7).
Likewise, if the line increases and increases, again you'll endup with a flat line, but now the two otherlines will span the entire third line, so its length is the sum, i.e., 15+22 = 37
Please answer this fast now
Answer:
CD = 2Step-by-step explanation:
If m∠CED = 30° and m∠CDE = 90° than triangle CED is half of equilateral triangle where CE is side of the equilateral triangle, DE is hight of equilateral the triangle and CD is half of side of the equilateral triangle.
[tex]\dfrac{CE\sqrt3}2=2\sqrt3\\\\CE\sqrt3=4\sqrt3\\\\CE=4=s\\\\CD=\dfrac s2=\dfrac42=2[/tex]
Find the m∠CDE rjrsjrsrjr
Answer:
m∠CDE = 60°
Step-by-step explanation:
Given that the arc at the center = 2 times the arc at the circumference, we have;
Angle at the center = arc CE = 120°
Whereby the angle at the circumference is given as m∠CDE and it is opposite the circle arc CE
We note that m∠CDE is the acute angle between chord DC and DE
Therefore, we have;
Angle at the center = 120° = 2 times the arc at the circumference = 2 × m∠CDE
120° = 2 × m∠CDE
m∠CDE = 120/2 = 60°
Therefore the angle of m∠CDE is equal to 60°.
Given: x + 2 < -5. Choose the solution set.
Answer:
[tex] x+2-2 <-5-2[/tex]
And after operate we got:
[tex] x <-7[/tex]
And then the solution would be [tex]x<-7[/tex]
Step-by-step explanation:
For this problem we have the following inequality:
[tex] x+2 <-5[/tex]
The first step would be subtract 2 from both sides of the equation and we got:
[tex] x+2-2 <-5-2[/tex]
And after operate we got:
[tex] x <-7[/tex]
And then the solution would be [tex]x<-7[/tex]
If f(x) is the total cost, in dollars, of x candles, which of the following statements best describes the meaning of f(2)=6
Answer: A) The total cost of 2 candies is $6.00.
Step-by-step explanation:
Hi, the question is incomplete, options are :
A) The total cost of 2 candies is $6.00. B) The total cost of 6 candies is $2.00. C) The total cost of 2 candies is $3.00. D) The total cost of 3 candies is $2.00.
So, to answer this question we have to analyze the function given:
f(2)=6
Since the input value x (number of candles) is 2, and the output (cost in dollars ) is $6, the correct option is :
A) The total cost of 2 candies is $6.00.
Xavier buys a two-quart bottle of juice for $5.12. What is the unit rate of the cost of the juice per fluid ounce?
Answer:
The cost is $.08 per ounce or 8 cents per ounce
Step-by-step explanation:
1 quart = 32 ounces
2 quarts = 64 pints
2 quarts costs 5.12
Take the cost and divide by the number of ounces
5.12 / 64
.08 per ounce
The cost is $.08 per ounce or 8 cents per ounce
=================================================
Explanation:
1 quart = 32 fluid ounces
2 quarts = 64 fluid ounces (multiply both sides by 2)
He paid 5.12 dollars for 64 fluid ounces, so the unit rate is 5.12/64 = 0.08 dollars per fluid ounce, or 8 cents per fluid ounce.
---------
We can think of it this way in terms of an equation
5.12 dollars = 64 fluid ounces
5.12/64 dollars = 64/64 fluid ounces ... divide both sides by 64
0.08 dollars = 1 fluid ounce
We divided both sides by 64 to turn "64 fluid ounces" into "1 fluid ounce", due to how the term "unit rate" is set up. The term "unit" means "one". Basically we're finding the cost per 1 unit, or per 1 fluid ounce.
i. For any uniform probability distribution, the mean and standard deviation can be computed by knowing the maximum and minimum values of the random variable.
a) true
b) false
ii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.
a) true
b) false
iii. The uniform probability distribution's shape is a rectangle
a) true
b) false
Answer: I. True
II. True
III. True
Step-by-step explanation:
Uniform probability distributions, this are probability distributions which have equally likely outcomes. There are two known types of uniform distributions:
1. discrete
2. continuous.
In the first type of distribution, each outcome is discrete. In a continuous distribution, outcomes are continuous this means they are usually infinite.
if the second angle is 20% more than the first angle and the third angle is 20% less than the first angle in a triangle, then find the three angles of the triangle
Answer:
Step-by-step explanation:
If the second angle's measure is based on the first angle's measure, and the third angle's measure is also based on the first angle's measure, then the first angle is the main angle. We will call that x.
1st angle: x
2nd angle: x + 20%
3rd angle: x - 20%
By the Triangle Angle-Sum Theorem, all those angles will add up to 180, so:
x + (x + 20%) + (x - 20%) = 180 and
3x = 180 so
x = 60. That means that
2nd angle: 60 + (.2*60) which is
60 + 12 = 72 and
3rd angle: 60 - (.2*60) which is
60 - 12 = 48. Let's check those angles. If
∠1 = 60
∠2 = 72
∠3 = 48,
then ∠1 + ∠2 + ∠3 = 180 and
60 + 72 + 48 does in fact equal 180, so you're done!
these cones are similar. find the volume of the smaller cone. round to the nearest tenth.
Answer:
Volume of the smaller cone = 8.34 cm³
Step-by-step explanation:
"If two figures are similar, their dimensions will be proportional.
Following this rule,
Ratio of the dimensions of two cones = [tex]\frac{\text{Radius of the large cone}}{\text{Radius of the small cone}}[/tex]
= [tex]\frac{r_2}{r_1}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2.5
Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".
Ratio of the volumes = (ratio of the dimensions)³
[tex]\frac{V_1}{V_2}=(2.5)^3[/tex]
[tex]\frac{131}{V_2}=15.625[/tex]
[tex]V_2=\frac{131}{15.625}[/tex]
= 8.384 cm³
≈ 8.4 cm³
Therefore, volume of the smaller cone is 8.4 cm³.
Can any kind soul help me
Answer:
a) 4.50m/s²
b) v= 21
c) 11.25m/s
Step-by-step explanation:
a) rate of change of speed in first 2 seconds
= gradient of graph from t=0s to t=2s
The two points are (0,0) and (2,9).
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Rate of change of speed
[tex] = \frac{9 - 0}{2 - 0} \\ = \frac{9}{2} \\ = 4.50m/ {s}^{2} [/tex]
Total distance= area under graph
Distance travelled for first 6s
= area of traingle +area of rectangle
= ½(2)(9) +(6-2)(9)
= 9 + 4(9)
= 9 +36
= 45m
Distance travelled from t=6s to t=12s
= 135 -45
= 90m
Area under graph from t=6s to t=12s =90
Area of trapezium= 90
½(A +B)(h)= 90
½(9+ v)(6)= 90
3(9 +v)= 90 (simplify)
9 +v= 30 (÷3 throughout)
v= 30 -9
v= 21
c) Average speed
= total distance ÷total time
= 135 ÷12
= 11.25 m/s
Molly was curious if quadrilaterals ABCDABCDA, B, C, D and EFGHEFGHE, F, G, H were congruent, so she tried to map one figure onto the other using transformations
Answer:
The answer is below
Step-by-step explanation:
A transformation of a point is the movement of an point from an initial position to a new position. If an object is transformed, all the point of an object is transformed. Two figures are said to be congruent if they have the same shape and the measure of each of their sides are the same.
An object is congruent to another object if the object can be mapped to the other object when transformed.
Answer:
The answer is c
Step-by-step explanation:
It is the correct solution because you are able to map circle m onto m
Helpppp urgently ❤️❤️❤️❤️
Answer:
d. (x + 5)
Step-by-step explanation:
The factorization of 2x^2 - 4x - 70 is (x + 5)(2x - 14)
Answer:
2( x + 5 ) × ( x - 7 )
Step-by-step explanation:
2x² - 4x - 70
2( x² - 2x - 35)
2( x² + 5x - 7x - 35)
2(x × (x + 5) -7 (x + 5))
2(x + 5 ) × (x - 7)
How is the graph of y=(x+1)^2-9 transformed from the graph of y=x^2? a shifted 1 unit left and 9 units up b shifted 1 unit right and 9 units up c shifted 1 unit left and 9 units down d shifted 1 unit right and 9 units down
Answer:
Step-by-step explanation:
Due to the '+1', the graoph of x^2 is shifted 1 unit to the left. The '+9' results in the entire graph being shifted downward 9 units.
Container 1 has 174 lires of oil, Container 2 has 258 litres of oil. Sam pours entire contents of container 1 into smaller jars, so that the oil completely fills the jars and there is no oil left. He also pours the entire contents of container 2 into the same size jars so that there is no oil left. What can the maximum size of the smaller jars be?
Answer:
The maximum size of the smaller jars is 6 liters
Step-by-step explanation:
Container 1=174 liters of oil
Container 2=258 liters of oil
Same pours the entire content of container one and container 2 into the same number of smaller jars
The maximum size of the smaller jar can be found by finding the highest common factor of 174 and 258
Factors of 174=1,2,3,6,29
Factors of 258=1,2,3,6,43
Common factors of 174 and 258=1,2,3 and 6
Highest common factor=6
Therefore,
The maximum size of the smaller jars is 6 liters
Write 2(6² + 4²) as the sum of two perfect square.
Maya is interning at a law firm over the summer and is paid by the hour. If her hourly wage is $52, which equation represents the proportional relationship between the wages she earns (w) and the number of hours (h)?
Answer: w= 52h
Step-by-step explanation:
Given: Maya is interning at a law firm over the summer and is paid by the hour.
Her hourly pay = $52
i.e. She is paid $52 per hour.
Let the wages she earns is denoted by 'w' and the number of hours is denoted by 'h'.
Now, (Total wages earned) = (hourly pay) x (Number of hours)
w = (52) (h)
⇒ w= 52h
Hence, the equation represents the proportional relationship between the wages she earns (w) and the number of hours (h): w= 52h
Answer:52h
Step-by-step explanation: tried got it right
expand the following (x+3)(x-3)
Answer:
x² - 9
Step-by-step explanation:
Given
(x + 3)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 3(x - 3) ← distribute both parenthesis
= x² - 3x + 3x - 9 ← collect like terms
= x² - 9
Answer:
x² - 9Step-by-step explanation:
[tex](x + 3)(x - 3)[/tex]
Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )
[tex]x(x - 3) + 3(x - 3)[/tex]
Calculate the product
[tex] {x}^{2} - 3x + 3x - 3 \times 3[/tex]
Multiply the numbers
[tex] {x}^{2} - 3x + 3x - 9[/tex]
Since two opposites add up to zero, remove them from the expression
[tex] {x}^{2} - 9[/tex]
Hope this helps..
Best regards!!
Find the surface area of the pyramid.
Answer:
306 mi^2
Step-by-step explanation:
surface area = area of base + lateral area
surface area = s^2 + 4bh/2
surface area = (10 mi)^2 + 4(10 mi)(10.3 mi)/2
surface area = 306 mi^2
To make a chocolate sponge cake for 8 people you need:
300g flour
100g cocoa
400g sugar
350g butter
1 egg
a) How much of each ingredient do you need to make a cake for 10 people?
b) if you only had 60g of cocoa,how much of each ingredient would you now need?
Answer:
this is som A sorry if you can't read it
What is the volume of the pyramid in cubic inches?
9in.
6 in.
8 in.
Answer: C) 144
Step-by-step explanation:
The area of a pyramid can be found via lwh/3
(9*8*6)/3 = area
72*6/3 = area
432/3 = area
144 = area
Hope it helps <3
Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle A is (4 p + 12) degrees and angle C is 36 degrees. What is the value of p? 6
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
i checked on edge
Which list is in order from least to greatest
The correct answer to this question is A. 9.4 x [tex]10^{-8}[/tex], 9.25 x [tex]10^{-6}[/tex], 2.5 x [tex]10^{3}[/tex], 7 x
Explanation:
These numbers are written in scientific notation. In this system, the exponent shows the number of spaces the period has been moved to make the number shorter. Additionally, a positive exponent shows the number has a certain number of digits to the right, while a negative exponent shows the number has digits to the left. In this way, the numbers presented can be converted as:
9.4 x [tex]10^{-8}[/tex] = 0.000000094 (Exponent indicates eight spaces to the left)
9.25 x [tex]10^{-6}[/tex] = 0.00000925 (Exponent indicates six spaces to the left)
2.5 x [tex]10^{3}[/tex] = 2500 (Exponent indicates three spaces to the right)
7 x [tex]10^{3}[/tex] = 7000 (Exponent indicates three spaces to the right)
Solve 2(3x+6)=3(x-9) 2p-3=3p+2 2(3x-1)-7(5x+4)=9(2x-3)
Answer:
Step-by-step explanation:
1. 6x + 12 = 3x - 27
3x + 12 = -27
3x = -39
x = -13
2. 2p - 3 = 3p + 2
-p - 3 = 2
-p = 5
p = -5
3. 6x - 2 - 35x -28 = 18x - 27
-29x - 30 = 18x - 27
-47x - 30 = -27
-47x = 3
x = -3/47
How many 5 digit numbers have five distinct digits?
Answer:3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Now that you know the total skid distance (3.8 ft), use the skid-distance formula to find how fast the car was going before it started skidding. How fast was the car traveling before it started skidding? s= sqrt (30 * drag factor * skid distance * braking efficiency)
s= speed
drag factor= 0.90
skid distance= 3.8
braking efficiency= 80% or 0.80
Answer:
9.1 mph
Step-by-step explanation:
Put the numbers in the formula and do the arithmetic.
s = √(30×drag factor×skid distance×braking efficiency)
s = √(30×0.90×3.8×0.80) = √82.08 ≈ 9.06
The car was traveling about 9.1 mph before it started skidding.
Find the measure of the missing angles in the kite.
Answer:
1: 90º
2: 25º
Step-by-step explanation:
Hey there!
Well we know that all the middle angles are 90º right angles,
so we can conclude that angle 1 is 90º.
All the angles in a triangle add up to 180 so we can set up the following,
65 + 90 + x = 180
Combine like terms
155 + x = 180
-155 to both sides
x = 25º
So angle 2 is 25º.
Hope this helps :)
Answer:
Below
Step-by-step explanation:
From the kite you easily notice that 1 is a right angle so its mesure is 90°.
2 is inside a triangle. This triangke has two khown angles: a right one and a 65° one.
The sum of a triangle's angles is 180°.
● (2) + 90+65 = 180
● (2) +155 =180
● (2)= 180-155
●(2) = 25°
plz help me x+y=7
x=3-y
Answer:
no solution
Step-by-step explanation:
x+y=7
x=3-y
Substitute the second equation into the first
(3-y) +y = 7
Combine like terms
3 = 7
This is never true so there is no solution
Answer:
[tex]\boxed{\mathrm{No \: solution}}[/tex]
Step-by-step explanation:
x + y = 7
Plug x = 3 - y
3 - y + y = 7
Combine like terms.
3 = 7
No solution.
Answer:
????
Step-by-step explanation:
Where is the question????