The resulting right triangle would have a hypothenuse with a length of; 13 inches.
According to the question;
We are required to length of the resulting right triangle when the midpoint of all three sides of this triangle were connected.The two legs given have lengths; 10 and 24 inches.
When the midpoints are connected, the new right triangle would then have legs; 5 and 12 inches.
Therefore, from Pythagoras theorem;
Hypothenuse length,
l = √(12² + 5²)l = √169l = 13 inches.
Read more on hypothenuse:
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Find the nth term for the following question: -5,-2,3,10,19
Answer:
[tex]T_n = 2n - 1 + T_{n-1}[/tex]
Step-by-step explanation:
Given
[tex]Sequence: -5,-2,3,10,19[/tex]
Required
Find the nth term
We have:
[tex]T_1 = -5[/tex]
[tex]T_2 = -2 = 3 - 5 = 3 + T_1[/tex]
[tex]T_3 = 3 = 5 - 2 = 5 + T_2[/tex]
[tex]T_4 = 10 = 7 + 3 = 7 +T_3[/tex]
[tex]T_5 = 19 = 9 + 10 = 9 + T_4[/tex]
This gives:
[tex]T_2 = 3 + T_1 = 4 - 1 + T_1[/tex]
[tex]T_3 = 5 + T_2 = 6 - 1 + T_2[/tex]
[tex]T_4 = 7 +T_3 = 8 - 1 + T_3[/tex]
[tex]T_5 = 9 + T_4 = 10 - 1 + T_4[/tex]
---
Solving further, we have:
[tex]T_2 = 4 - 1 + T_1 = 2 * 2 - 1 + T_1[/tex]
[tex]T_3 = 6 - 1 + T_2 = 2 * 3 + T_2[/tex]
[tex]T_4 = 8 - 1 + T_3 = 2 * 4 - 1 + T_3[/tex]
[tex]T_5 = 10 - 1 + T_4 = 2 * 5 - 1 + T_4[/tex]
Following the above sequence: the nth term is:
[tex]T_n = 2n - 1 + T_{n-1}[/tex]
The downtime per day for a computing facility has mean 4 hours and standard deviation .8 hour. Suppose that we want to compute probabilities about the average daily downtime for a period of 30 days.
i. What assumptions must be true to use the result of Theorem 7.4 to obtain a valid approximation for probabilities about the average daily downtime?
ii. Under the assumptions described in part (i), what is the approximate probability that the average daily downtime for a period of 30 days is between 1 and 5 hours?
Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
A. A
Which list is in order from least
greatest? 3/8 2/5 3/4 2/3
Answer:
Answer:
Order from Least to Greatest
3/8 < 2/5 < 2/3 < 3/4
Step-by-step explanation:
side length z =
angle d =
Two angle of a tranigle measure 55 and 20 what is the measure of the third angle
Answer:
105 degrees
Step-by-step explanation:
Recall that the sum of angles in a triangle is 180 degrees. As such, where a, b and c are the angles of a triangle then
a + b + c = 180 ( all in degrees)
Given that two angles of a triangle measure 55 and 20, let the size of gthe 3rd be T then
55 + 20 + T = 180
simplify
75 + T = 180
Subtract 75 from both sides
T = 180 - 75
T = 105
16, -6.4, 2.56, ..., 6th term
The 6th term of the sequence is
Answer:
the 6th term is = -0.16384
Step-by-step explanation:
Notice this is a geometric sequence with first term 16, and common ratio (-0.4)
Therefore the first 6 terms of the sequence are:
a1 = 16
a2 = 16 * (-0.4) = -6.4
a3 = -6.4 * (-0.4) = 2.56
a4 = 2.56 * (-0.4) = -1.024
a5 = -1.024 * (-0,4) = 0.4096
a6 = 0.4096 * (-0.4) = -0.16384
The the 6th term is = -0.16384
What expression is not equivalent to 8 + (n - 4)?
A. (8 + n) - 4
B. n + 4
C. 12 + n
D. (8 - 4) + n
Akiko shot 204 baskets in 17 minutes. Find her basket rate in baskets per minute
Answer:
204/17
Step-by-step explanation:
and then you should get your answer
Answer:
12 baskets/per minute
Step-by-step explanation:
so u know that she can shoot in 204 baskets in 17 u just need to take 204 divided by 7 to figure out how many she makes per minute. ( 204 ÷ 7 = 12 )
Evaluate:
65−15÷5 +(−19)
Answer:
43
Step-by-step explanation:
65-15/5+(-19)
65-3+(-19)
62-19=43
A machine can make 165 granola bars in 3 minutes. At this rate, how many granola bars can the machine make in 7 minutes?
Which expression is a trinomial?
x + y – 13
4xyz
Answer:
x+y-13
Step-by-step explanation:
A polynomial with three terms is called a trinomial.
rate brainliest if very helpful
Jason is making pumpkin bread. He needs 4 cups of pumpkin for every 3 cups of sugar. What is the ratio of cups of sugar to cups of pumpkin that Jason will need?
A. 3 to 4
B. 4 to 3
C. 4 to 7
D. 7 to 3
Answer:
3 to 4 - A
Step-by-step explanation:
Factor each expression, if possible. Identify any special cases, such as the difference of squares or a perfect square trinomial xy-4y+2x-8
Answer:
[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]
Step-by-step explanation:
Given
[tex]xy-4y+2x-8[/tex]
Required
Factor the expression
[tex]xy-4y+2x-8[/tex]
Group the expression
[tex](xy-4y)+(2x-8)[/tex]
Factor each group
[tex]y(x-4)+2(x-4)[/tex]
This gives:
[tex](y + 2)(x-4)[/tex]
Hence:
[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]
two adjacent angles of a parallelogram are in the ratio 5:2: . find all the angles of the parallelogram
Let, the first angles be 5x
And, the second angles will be 2x
As we know that,
★ Sum of all angles = 180° ★
According to the question by using the formula we get,
⇒ 5x+2x=180°⇒7x=180°⇒ [tex]\sf x =\: \dfrac{\cancel{180^{\circ}}}{\cancel{7}}[/tex]➠ [tex]\sf\bold{\red{x =\: 25.7^{\circ}}}[/tex]Hence, the required angles are,
First angles = 5x = 5(25.7°) = 128.5°Second angles = 2(25.7°) = 51.4°As we know that,
opposite angles in a parallelogram
is equal.
∴ The all angles of a parallelogram is 128.5°,51.4°, 128.5° and 51.4°.
the ratio lf twizzlers to peanut butter cups in a candy bowl is 3 to 8 create a ratio table that represents this relationahip. Include at least 5 entries that compare the number of twizzlers and peanut butter cups in the candy bowl.
T PB
3 8
6 16
9 24
12 32
15 40
When one increases the other increases, so you multiply them both by 2 to get the first column, 3 for the third, 4 for the fourth, and finally 5 for the fifth. Which gives you T as 3, 6, 9, 12, and 15 while PB is 8, 16, 24, 32, and 40. These are your 5 entries.
Solve (2x - 1)^2 = 9.
A. X = 2, -1
B. X = -2,1
C. x = -2, -1
D. X = 2,1
Answer:
x=2, -1
Step-by-step explanation:
A university lecture hall has 100 seats. During class, 30% of the seats are empty. How many students are attending class?
Answer:
70 students are attending class
Step-by-step explanation:
100% - 30% = 70%
Answer:
70 students
Step-by-step explanation:
100=100% so -30 to get 70 students
Ken door is 2.29 meters tall. How many centimeter tall is his door
Answer:
229
Step-by-step explanation:
Simplify the expression by combining like terms.
16 - 2v + 3
a
2v + 19
b
-2v + 13
c
2v + 13
d
-2v + 19
Answer:
d
Step-by-step explanation:
16 - 2v + 3
-2v + 3 + 16
-2v + 19
Answer d
Answer:
D) -2v + 19
Step-by-step explanation:
Combined like terms:
16 - 2v + 3
1. Add 16 and the +3 to combine these terms
-2v + (16 + 3) = -2v + 19
Look at the picture
9514 1404 393
Answer:
A
Step-by-step explanation:
When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."
If angles are on opposite sides of the transversal, they are exterior.
If angles are in the same direction from the intersection point, they are corresponding.
Angles in opposite directions from the point of intersection are vertical angles.
same-side interior: {3, 5} and {4, 6}. (supplementary)
same-side exterior: {1, 7} and {2, 8}. (supplementary)
alternate interior: {3, 6} and {4, 5}. (congruent)
alternate exterior: {1, 8} and {2, 7}. (congruent)
corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)
vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)
Angles 6 and 4 are same-side interior angles; their sum is 180°.
pls help
I suck at this
Answer:
65
Step-by-step explanation:
We know that one angle is 50 degrees, so the angle supplementary to it will be 180-50, or 130 degrees.
Since these two lines are parallel, then the angle supplementary to 2x will be equal to 50 degrees, giving us 2x = 130 degrees, and x = 65 degrees.
Let me know if this helps!
Pentagon VWXYZ below has an interior angle sum of 540°. Pentagon V W X Y Z. Angle Z is 94 degrees, angle Y is 120 degrees, angle X is 120 degrees, angle W is 94 degrees, and angle V is unknown. What can be determined about Angle V? Angle V is a right angle that measures 90°. Angle V is an acute angle that measures less than 90°. Angle V is a straight angle that measures 180°. Angle V is an obtuse angle that measures 112°.
Answer:
D.) <V is an obtuse angle that measures 112.
yw ig
Answer:
D
Step-by-step explanation:
yes
Please help ASAP!!!!!!!!
Answer:
A=hb3/2
Step-by-step explanation:
A=1/2(hb1+hb2)
A=hb1+hb2/2
A=hb3/2
.Joseph drove 130 miles in 2.5 hours. Which equation can be used to
calculater, the average speed at which Joseph drove?
A . r=130-2.5
B.r=130/2.5
C.130=r/2.5
D.130=r+2.5
Answer:
c
Step-by-step explanation:
PLEASE GIVE BRANLIEST
Select all the correct answers.
Janine needs to calculate the value of log , 81
Which expressions could she input into her calculator to find this value?
In 81
12
✓
in 81
In 12
log 81
log 12
log 81
In 12
log 12
log 81
Answer:
In 81 / In 12 ;
log 81 / log 12
Step-by-step explanation:
Log 12 81
Log 81 base 12
According to rule of logarithm :
Log 81 base 12 = (log 81 base 10) / log 12 base 10)
Obtaining the value :
(log 81 base 10) / log 12 base 10) = 1.7684564
Using trial and error method :
log 81 / In 12 = 0.7680308
In 81 / In 12 = 1.7684564
In 81 / 12 = 0.3662040
Hence, the correct answers are :
In 81 / In 12
log 81 / log 12
what is the radius with an area of 2.25cm squared?
Answer:
9 centimeters He said squared And radius...
(づ￣ ³￣)づHave a nice day
What is the solution to the equation?
Answer:
C- t=411
Step-by-step explanation:
there is this really cool site/app called
math
way
it helps for everything, just use it
The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Sports Committee, and the Sunshine Committee. a. The Sports Committee wants to use its share of the money to purchase t-shirts. If each t-shirt costs $12, what is the greatest number of t-shirts the Sports Committee can purchase? The greatest number of t-shirts that the Sports Committee can purchase is .
Answer:
The greatest number of t-shirts that the Sports Committee can purchase is 232.
Step-by-step explanation:
The student council raised $2,790 during its annual fundraiser.
Each t-shirt costs $12.
The total cost of buying x t-shirts is given by:
[tex]T(x) = 12x[/tex]
What is the greatest number of t-shirts the Sports Committee can purchase?
The total cost has to be lesser, or equal, to 2790. So
[tex]T(x) \leq 2790[/tex]
[tex]12x \leq 2790[/tex]
[tex]x \leq \frac{2790}{12}[/tex]
[tex]x \leq 232.5[/tex]
Since you cant buy half a shirt.
The greatest number of t-shirts that the Sports Committee can purchase is 232.
Please. help me guys.
Answer:
40
Step-by-step explanation:
there are 4 quarters so if one quarter is 10 then 4 quarters are 40
10 x 4 = 40
Which of the expressions are equivalent to the one below? Check all that apply.
4 • (8 + 3)
A. (4 • 8) + 3
B. (8 + 3) • 4
C. 4 • (3 + 8)
D. 4 • 8 + 4 • 3
Step-by-step explanation:
We need to find an expression that is equivalent to 4×(8+3)
We know that,
4×(8+3) = 4(11) = 44
Option (1).
(4 • 8) + 3 = 32+3 = 35. It is incorrect
Option (2).
(8 + 3) • 4 = (11) 4 = 44. It is correct.
Option (3).
4 • (3 + 8) = 4(11) = 44. It is correct.
Option (4).
4 • 8 + 4 • 3 = 32+12 = 44. It is correct.
Hence, the correct options are (2), (3) and (4).