9514 1404 393
Answer:
right
Step-by-step explanation:
If you're going to be in the business of classifying triangles based on side lengths, it can be useful to know there is a "form factor" that can help. For sides a, b, c, with long side 'c', it is computed as ...
f = a² + b² - c²
It has the following interpretation with respect to triangle shape:
f > 0 . . . acute
f = 0 . . . right
f < 0 . . . obtuse
__
In this case, we have ...
16² +63² -65² = 256 +3969 -4225 = 0
The triangle is a right triangle.
_____
Additional comment
When the triangle is a right triangle, this is equivalent to a statement of the Pythagorean theorem: c² = a² + b².
For triangles of other shapes, the interpretation is consistent with the Law of Cosines. When the form factor is divided by 2ab, the result is the cosine of the largest angle. That is why >0 means acute and <0 means obtuse.
The tables represent two linear functions in a system
х
y
-6
-22
-3
-10
0
2
3
14
What is the solution to this system?
х
-6
-3
0
3
y
-30
-21
-12
-3
01-13-25)
0 (-34 -54)
O (-13, -50)
O (-14, -54)
Answer:
(-14, -54)
Step-by-step explanation:
Let's call the functions f and g
f(x) = ax + b
f(0) = a*0+b = 2
f(3) = a*3 + b = 14
From f(0) = 2 we know that b = 2
f(3) - f(0) = a*3 = 14 - 2
a = 4
We know that f(x) = 4x + 2
g(x) = cx + d
g(0) = -12
g(3) = -3
From g(0) = -12 we know that d = -12
g(3) - g(0) = c*3 = -3 - (-12) = 9
c = 3
We know that g(x) = 3x - 12
Now we need to solve
4x + 2 = 3x - 12
x + 2 = -12
x = -14
y = 4*(-14) + 2 = -56 + 2 = -54
y = 3*(-14) - 12 = -42 - 12 = -54
Checks out.
The solution to the system of linear functions that is represented by both tables is: (-14, -54).
What is the Solution of a System of Linear Functions?The solution of a system of two linear function is the point where the the x-coordinate and the y-coordinate of both linear functions are the same.
To find the solution, state the equation that represents each of the functions in the given tables:
y = 4x + 2 represents table 1
y = 3x - 12 represents table 2.
Thus, set both equations equal to each other.
4x + 2 = 3x - 12
Combine like terms
4x - 3x = -2 - 12
x = -14
Find the value of y by substituting x = -14 into y = 3x - 12:
y = 3(-14) - 12
y = -54.
Therefore, the solution to the system of linear functions that is represented by both tables is: (-14, -54).
Learn more about system of linear functions on:
https://brainly.com/question/8627594
Which of these CAN be a probability of an event. CHOOSE ALL THAT APPLY!*
1.) 0.348483
2.) 1.01
3.) -1
4.) 0.99
5.) 0
6.) -0.5
Answer:
0, 0.99 and 0.348483 ( options 5, 4 & 1 )
Step-by-step explanation:
Probability of an event is between 0 & 1, including 0 & 1.
someone please help me answer this!!1
Answer:
b = 9m is the answer.
Step-by-step explanation:
a = 12m
b = ?
c = 15m
According to the Pytagorean theorem,
a² + b² = c²
12² + b² = 15²
144 + b² = 225
b² = 225 - 144
b² = 81
b = 9
∴ The slide is 9m away from the monkey bars.
Collect like terms and then arrange them in descending order.
- 4x + 8x? - 2x + 3x? + 1
Answer:
i think the answer is 5x+1 that how i was taught srry if its wrong
please help i’ll give brainliest
In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=[tex]\frac{\sqrt{5}}{\sqrt{2}}[/tex] and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2. [tex]\frac{\sqrt{10}}{2}[/tex].
What is the value of the median in the set of data represented by the following box-and-whisker plot?
A. 10
B.15
C.14
D.15.5
Answer:
D) 15.5
Step-by-step explanation:
median is the middle line inside the 'box'
(3/4)(-4/3) = 0
True or False
Answer:
False
Step-by-step explanation:
(3/4)(-4/3)=-3/2
Answer:
true
Step-by-step explanation:
your welcome
18 = 3 • y helppppppppppppppp
Answer:y=6 3*6=18
Step-by-step explanation:+ 6 IS Correct
If a certain number x is multiplied by 6
It will be equal to four less than twice
the same number?
Answer: x= -1
Step-by-step explanation: 6x = 2x-4 4x= -4 and x=-1
From the given statement the unknown number is found to be - 1
The given statements can written in algebraic form as follows;
the unknown number = x
the number is multiplied by 6 = 6x
four less than twice the same number = 2x - 4
then, from the given statement the final equation equation becomes;
6x = 2x - 4
This unknown number can be solved by collecting similar terms together;
6x - 2x = -4
4x = -4
divide through by 4
[tex]\frac{4x}{4} = \frac{-4}{4} \\\\x = -1[/tex]
Thus, the unknown number is - 1
Learn more here: https://brainly.com/question/24369824
Giving ALOT of points for this
On Friday, three friends shared how much they read during the week.
Barbara read the first 100 pages from a 320-page in the last 4 days
Judy read the first 54 pages from a 260-page book in the last 3 days.
Nancy read the first 160 pages from a 480-page book in the last 5 days
Part A
A person’s average reading rate can be defined as the number of pages read divided by the number of days. Place the three friends’ reading rates in order from greatest to least(Show all work)
Answer:
Solution given:Barbara reads
100page in 4 days
1 day=100/4=25pages
judy reads
54pages =3days
1 day=54/3=18 pages
nancy reads
160 pages =5 days
1 day=160/5=32 pages
average page=[25+18+32]/3=25 pages per day is a required rate.
Question 11 of 49
If angles A and B are consecutive interior angles, what is the measure of
angle B if angle A measures 75 ?
A. 75
B. 105
C. 90°
ОО
D. 180°
Answer:
[tex]B = 105[/tex]
Step-by-step explanation:
Given
[tex]A = 75[/tex]
Required
Find B
If A and B are consecutive interior angles, then
[tex]A + B = 180[/tex]
Substutute 75 for A
[tex]75 + B = 180[/tex]
[tex]-75+75 + B = 180 - 75[/tex]
[tex]B = 105[/tex]
I need help hurry!!!!
Answer:
none of the above is a pythagorean triple
What is the measure of ABC
Answer:
63
Step-by-step explanation:
angle abc =half of arc DE + half of arc AC
Claire went home after school and told her mother that 1 whole is the same as 2/2 and 6/6. Her mother asked why, but Claire couldn't explain. Use a number line and words to help Claire show and explain why. 1 = 2/2 = 6/6.
please help me asap!
Answer:
1. AC=EC=120 ft
2. Given as perpendicular
3. BC=CD
4. Perpendicular means 90° from the bridge
5. Area of Triangle same
find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if necessary
9514 1404 393
Answer:
1487.31 yd³
Step-by-step explanation:
The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.
The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.
The volume of a cylinder is πr²h.
The total volume of this figure is ...
V = (2/3)πr³ + πr²h
V = πr²(2/3r +h)
V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³
The volume of the figure is about 1487.31 yd³.
Answer:
4187.31 yd³ is thr volume of a fugure
100 POINTS AND BRAINLIEST IF YOU USE EXPLANATION
What type of table or graph do you use to help you make a histogram?
A.
a dot plot
B.
a frequency table
C.
a circle graph
D.
a bar graph
Answer:
B
Step-by-step explanation:
Answer:
D. a bar graph
Step-by-step explanation:
a bat graph because it keeps track of data that changes over time
Find P(4).
A 1/8
B 1/4
C 1/2
Determine whether the two expressions are equivalent
2(3c + 2) - 2c and 4c + 2
Answer:
The equations are not equivalent
Step-by-step explanation:
2(3c +2) -2c
6c + 4 - 2c
combine like terms
4c +4 does not equal 4c +2
Answer:
they are NOT equivelent
Step-by-step explanation:
2(3c+2)-2c and 4c + 2
(6c+4)-2c
4c+4>4c+2
help due tonight.. *no links please*
Answer:
supplementary angle = angle 2 and angle 3
vertical angle = angle 2 and angle 4
hope it helps
Find the area of the region (CALCULUS HELP I WILL VOTE BEST ANSWER)
I'm not sure what is meant by "partitioning the x-axis" - partition is a term more often used with computing Riemann sums. So either partitioning has a special meaning for you, or you have to approximate the area with a Riemann sum.
I'm going to assume you just want the exact area of the given region. Notice that the two curves y = 4e ˣ and y = -x + 4 intersect when x = 0 at the point (0, 4). Both curves then meet the vertical line x = 4. The exponential function is increasing while the linear one is decreasing, so 4e ˣ ≥ -x + 4.
The region is then the set of points,
R = {(x, y) | 0 ≤ x ≤ 4 and -x + 4 ≤ y ≤ 4e ˣ}
so the area is given by the integral,
[tex]\displaystyle\int_0^4 (4e^x-(-x+4))\,\mathrm dx=\int_0^4(4e^x+x-4)\,\mathrm dx=\left(4e^x+\frac{x^2}2-4x\right)\bigg|_0^4=\boxed{4e^4-12}[/tex]
On Monday, Amanda runs 1 1/6 miles. On Tuesday, she runs 2 1/2 miles. How far did she run on both days combined?
Answer:
3 2/3 miles
Step-by-step explanation:
1 1/6 + 2 1/2 = 1 1/6 + 2 3/6 = 3 4/6 = 3 2/3
Answer: 3 2/3 miles
can someone please draw lines on this
Answer:
I don't think someone can do that-
Step-by-step explanation:
Answer:
yes here you go
Step-by-step explanation:
:)
I need help asap....
Answer:
Step-by-step explanation:
From the given picture,
Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4
To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3
Statements Reasons
1). l₁ ║ l₂ and ∠2 ≅ ∠4 1). Given
2). ∠1 ≅ ∠2 2). Vertical angle theorem
3). ∠1 ≅ ∠4 3). Given
4). ∠1 ≅ ∠3 4). Corresponding angle theorem
5). ∠4 ≅ ∠3 5). Transitive property of congruence
D 2. Squares, rectangles, and rhombi åre types of trapezoids.
True
O
False
Answer:
false
Step-by-step explanation:
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using alpha 0.05, is the data highly inconsistent with the claim?
Answer:
p-value = 0.01044
Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )
We reject H₀
Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.
∴ the data is highly inconsistent with the claim
Step-by-step explanation:
Given the data in the question;
x' = 46500
σ = 8000
sample size n = 28
Null hypothesis H₀ : μ ≥ 50000
Alternative hypothesis H₁ : μ < 50000
level of significance ∝ = 0.05
Using Test statistics;
Z = [(x' - μ ) / (σ√n)] ~ (0,1)
we substitute
Z = [(46500 - 50000 ) / (8000√28)]
= -3500 / 1511.85789
= - 2.31
{ since alternative hypothesis is left tailed } from z-table;
p-value = P( z ≤ -2.32 )
p-value = 0.01044
Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )
We reject H₀
Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.
∴ the data is highly inconsistent with the claim
Pleaseeeee help!!! I’ll give you best answer!!!!Solve each equation by completing the square.
2) x2 + 14x + 48 = 0
Answer:
x=-8
x=-6
Step-by-step explanation:
Don't really know how to explain this. I never was good at completing the squares.
Hope that this helps!
help pls giving branliest
Answer:
https://youtu.be/TZbTr1oBwKU
Please help I’ll mark you as brainliest if correct!
Answer:
C. 27
Step-by-step explanation:
If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.
so... 9*5=45
and you do the sane with the cats
9*3=27 therefore the answer is 27.
Answer:
C. 27
Step-by-step explanation:
If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.
so... 9*5=45
and you do the same with the cats
9*3=27 therefore the answer is 27.
A polling agency reported that the proportion of 12th grade students who are engaged is 0.34. Engagement is defined as students' involvement and enthusiasm with school. The superintendent of one high school district believes the engagement of her students is higher than the proportion reported. She randomly surveys 90 of the 3600 students in the district and finds that 38 reported being engaged in school.
Required:
a. What type of variable is "engaged"?
b. What is the sample proportion of students in this high school district who are engaged?
Answer:
a) "engaged" is a quantitative and continuous variable.
b) The sample proportion of students in this high school district who are engaged is 0.4222
Step-by-step explanation:
Given the data in the question;
Polling reports shows that 0.34 12th grade students are engaged
the principal surveyed 90 of the 3600 students,
number of students reported to be engaged is 38
a)
"engaged" is a quantitative and continuous variable.
b) the sample proportion of students in this high school district who are engaged.
Sample proportion of engaged = number of students reported to be engaged / total number of students surveyed
so
Sample proportion of engaged = 38 / 90
Sample proportion of engaged = 0.4222
Therefore, the sample proportion of students in this high school district who are engaged is 0.4222