Answers
Answer:
Step-by-step explanation:
Use Pythagorean's Theorem:
[tex]c^2=15^2+8^2[/tex] and
[tex]c^2=225+64[/tex] and
[tex]c^2=289[/tex] so
c = 17
Step-by-step explanation:
To find a missing side length, Use Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
Where a^2 is 8, b^2 is 15 and c^2 is the missing side length.
8^2 + 15^2 = c^2
Simplify the exponents
64 + 225 = c^2
c^2 = 289
Square root c^2
sqrt rt of 289 = 17
so the missing length of the third side is 17
Related Questions
whats the area of this shape?
Answers
Answer:
54
Step-by-step explanation:
find the area of each shape. you have a length of 3 and a height of 4.
3 • 4 = 12
you have this shape twice so 12 • 2 = 24
now you have a length of 5 and a height of 6.
5 • 6 = 30
so adding up all of the numbers (24 + 30), you have an answer of 54.
WILL MARK BRAINLEST!!Use the remainder theorem to find T(2) for T(x)= 3x3 - 2x2 - 6x -5.
A) -21
B) -1
C) 21
D) 1
Answers
Answer:
B
Step-by-step explanation:
T(x)=3x³-2x²-6x-5
T(2)=3(2)³-2(2)²-6(2)-5
=24-8-12-5∵
=-1
Expand and simplify the following. Show all the steps.
a. -4(a-4)
b. 3a(a+2)
c. 4x - 2(5 - x)
d (x-3)(x+2)
e (x+4)2
Answers
b) 3a^2+6a
c) 20x - 4x^2- 10 + 2x
-4x^2 + 22x -10
d) x^2+2x-3x-6
x^2-x-6
e) (x+4)(x+4)
x^2+8x+16
a. The expanded and simplified form is: -4a + 16
b. The expanded and simplified form is: 3a^2 + 6a
c. The expanded and simplified form is: 6x - 10
d. The expanded and simplified form is: x^2 - x - 6
e. The expanded and simplified form is: x^2 + 8x + 16
Sure, let's expand and simplify each expression step by step:
a. -4(a - 4)
Step 1: Apply the distributive property (multiply -4 by each term inside the parentheses).
-4(a) + -4(-4)
Step 2: Simplify the terms.
-4a + 16
So, the expanded and simplified form is: -4a + 16
b. 3a(a + 2)
Step 1: Apply the distributive property (multiply 3a by each term inside the parentheses).
3a * a + 3a * 2
Step 2: Simplify the terms.
3a^2 + 6a
So, the expanded and simplified form is: 3a^2 + 6a
c. 4x - 2(5 - x)
Step 1: Apply the distributive property (multiply -2 by each term inside the parentheses).
4x - 2 * 5 + 2 * x
Step 2: Simplify the terms.
4x - 10 + 2x
Step 3: Combine like terms.
6x - 10
So, the expanded and simplified form is: 6x - 10
d. (x - 3)(x + 2)
Step 1: Apply the distributive property (multiply x by each term inside the second parentheses and then multiply -3 by each term inside the second parentheses).
x * x + x * 2 - 3 * x - 3 * 2
Step 2: Simplify the terms.
x^2 + 2x - 3x - 6
Step 3: Combine like terms.
x^2 - x - 6
So, the expanded and simplified form is: x^2 - x - 6
e. (x + 4)^2
Step 1: Apply the square of a binomial formula: (a + b)^2 = a^2 + 2ab + b^2
(x)^2 + 2(x)(4) + (4)^2
Step 2: Simplify the terms.
x^2 + 8x + 16
So, the expanded and simplified form is: x^2 + 8x + 16
To know more about simplify:
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State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔFED
~ ____
Answers
Answer:
FED ~ MLF
Step-by-step explanation:
∠L = ∠E
∠F = ∠F
Since both angles are congruent, that would mean all angles are congruent.
If all angles are congruent, then the triangles are always similar no matter the length of the sides.
The complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].
What are the similar triangles?Similar triangles are the triangles that have the same shape, but their sizes may vary.
What is AA or angle angle similarity rule?If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
What are vertically opposite angles?When two lines intersect each other, then the opposite angles are formed due to intersection are called vertical angles or vertically opposite angles.
According to the given question.
We have two triangles LMF and EDF
In triangles LMF and EFD we have
∠MLF = ∠DEF (given)
Also, ∠MFL = ∠DFE (vertically opposite angles)
Since, we know that " if any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other".
Therefore, by AA similarity criteria triangle FED is similar to FLM.
Hence, the complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].
Find out more information about AA similarity rule and vertically opposite angles here:
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how many square metres of floor are there in a room of 6 metres
ig something like that
Answers
Answer:
36² metres
Step-by-step explanation:
I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6
Find the area of a parallelogram with a base of 9m and a height of 5
Answers
Answer:
A=45m²
Step-by-step explanation:
A=bh=9·5=45m²
PLS HELP
Choose the inequality that represents the following graph,
+
-4
-5
-3
- 2
-1
0
1
2
3
4
5
Choose 1 answers
ISO
IO
D
>O
Answers
Answer:
The option which represents the inequality is option D ; stated as x ≥ 0
Step-by-step explanation:
The marked or dotted position is 0 ; which represents the position of x, when graphing inequality statements, if the point IS SHADED, then it means GREATER THAN EQUAL TO.
Option A is incorrect, the inequality sign is not the same as the direction of the arrow.
Option B, says LESS THAN EQUAL TO, instead of GREATER THAN EQUAL TO
Option C SAYS GREATER THAN instead of GREATER THAN EQUAL TO.
Therefore, Option D is the correct expression which means x is GREATER THAN EQUAL TO.
Learn more : https://brainly.com/question/24065770
Choose a scenario that could be represented by 5/8.
A.an eight-foot ribbon is cut into five equal pieces.
B.an eight-hour bus trip is divided into five equal parts.
C. Five friends share eight cookies equally.
D. five pounds of oats are divided equally among eight horses.
Answers
Answer:
D. Five pounds of oats are divided equally among eight horses.
Step-by-step explanation:
A scenario representing 5/8 has to involve a quantity of 5 being divided by 8.
The situation with the oats and horses represents 5/8, because the 5 pounds of oats are being equally divided among the 8 horses.
The other answer choices are incorrect because they are dividing 8 by 5 instead, which is 8/5 instead of 5/8.
So, the correct answer is D. Five pounds of oats are divided equally among eight horses.
Rose has $83. She is saving up for a new bike. If she saves $15 per week, how much money will she have after 8 weeks?
How much money does Rose have after 8 weeks? Solve on paper, then enter your answer on Zearn.
Rose has $
after 8 weeks.
Answers
Answer:
$203
Step-by-step explanation:
15x8=$120
120+83=$203
can any of yalls help with this one
Answers
Answer:
it's the last option
Step-by-step explanation:
mark me brainliest
Một lớp có 40 học sinh gồm học sinh giỏi, học sinh khá , và học sinh trung bình , số hs trung bình chiếm 1/4 cả lớp , số hs khá bằng 60% số học sinh còn lại a) tính số học sinh mỗi loại B) tổng số hs khá và giỏi chiếm bao nhiêu phần trăm trong lớp
Answers
Answer:
Đổi 60% = 3/5
a) Số học sinh trung bình là: 40 * 1/4 = 10 (hsinh)
Tổng số hsk và hsg là: 40 - 10 = 30 (hsinh)
Số học sinh khá bằng 60% số học sinh còn lại nên số hsk là:
30 * 60% = 18 (hsinh)
Số học sinh giỏi là: 30 - 18 = 12 (hsinh)
b) Tổng số hs khá và giỏi chiếm số phần trăm trong lớp là:
30 : 40 * 100 = 75%
Thank you so much thank y’all
Answers
x < 12
Step-by-step explanation:
150 - 20 = 130
x < 130 / 10 - 1
x < 13 - 1
x < 12
What is the result of substituting for y in the bottom equation?
y=x-7
y=2+2x-4
Answers
Answer:
Plug x-7 in for y, in the bottom equation.
x - 7 = 2 + 2x - 4
x - 7 = 2x - 2
x = 2x + 5
-x = 5
x = -5
Mary spends her Saturday mornings buying groceries, helping her children with homework, cooking, and
working on her weekend assignment. She does not always do these tasks in the same order. In how many
possible ways can she do her tasks?
Answers
Answer:
I think in 2 or 3 process. But I am not sure
2(x-y)(x+y)+(x+y)*2+(x-y)
Answers
Answer:
2 x ^2 − 2 y^ 2 + 3 x + y
Step-by-step explanation:
A girl is 18 years younger than her mother. In 6 years time, the sum of their ages will be 54. How old is the girl now?
Answers
Answer:
12 yrs.
Step-by-step explanation:
let present age of girl=x
age of mother=x+18
after 6 yrs
age of girl=x+6
age of mother=x+18+6=x+24
according to the condition of question
(x+6)+(x+24)=54
2x+30=54
2x=54-30=24
x=24/2=12
ailey is shopping at a department store during a 20% off everything sale. She also has a coupon for $5.00 off the sale amount. Hailey wants to keep her total under $65.00 before tax, so she creates this inequality:
0.80x − $5.00 ≤ $65.00.
Which inequality represents all possible solutions for x?
A.
x ≤ $75.00
B.
x ≤ $76.25
C.
x ≤ $86.25
D.
x ≤ $87.50
Answers
Answer:
D
Step-by-step explanation:
0.8x-5<=65
0.8x<=70
x<=700/8=87.5
Answer:
D
Step-by-step explanation:
six boys each have the same number of sweets.the total number of sweet is 78. how many sweet did each boy have?
Answers
Each boy had 13 sweets
solve the inequality and graph the solution
-5-7x < -40
Answers
Answer:
x > 5
Step-by-step explanation:
-5-7x < -40
Add 5 to each side
-5+5-7x < -40+5
-7x < -35
Divide by -7, remembering to flip the inequality
-7x/-7 > -35/-7
x > 5
Open circle at 5, going to the right
Give an example of a trinomial with a GCF of 6a.
Answers
9514 1404 393
Answer:
18a +42ax +24az
Step-by-step explanation:
6a(3 +7x +4z) = 18a +42ax +24az
__
Additional comment
In order for 6a to be the GCF, the terms inside parentheses cannot have any common factors.
Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data.
A 3-row table with 10 columns. The first row is labeled essay rank with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The second row is labeled essay score with entries 9.7, 9.5, 9.5, 9.0, 8.9, 8.9, 8.5, 8.4, 8.2, 7.0. The third row is labeled word count with entries 324, 352, 337, 318, 299, 304, 290, 291, 278, 250.
How does the word count of an essay relate to its score in the contest?
Word count tends to decrease as the score decreases.
Word count tends to increase as the score decreases.
Word count tends to remain constant as the score decreases.
Word count has no apparent relationship to the score of the essay.
Unmark this question
Answers
Answer:
The word count tend to decrease as the score decreases
Step-by-step explanation:
The 3-row table is presented as follows;
[tex]\begin{array}{ccc}Essay \ Rank&Essay \ Score&Word \ Count\\1&9.7&324\\2&9.5&352\\3&9.5&337\\4&9.0&318\\5&8.9&299\\6&8.9&304\\7&8.5&290\\8&8.4&291\\9&8.2&278\\10&7.0&250\end{array}[/tex]
The relationship between the values on the Word Count column and the values on the Essay Score column is that as the Essay Score decreases from the top down to the last row, the values on the Word Count generally decreases in the same manner (top down decrease)
Therefore, the Word Count decreases as the Essay Score decreases.
The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the
sequence?
Answers
Answer:
53=-3+14d
56=14d
d=4 that is the common difference
Algebraic expression for 2a+3b-c if a=3 b=-4 c=-2
Answers
Answer:
-4
Step-by-step explanation:
a = 3
b = -4
c = -2
2a + 3b - c
= 2(3) + 3(-4) - (-2)
= 6 + (-12) + 2
= -4
applying the distributive property to the expression, 24x+18y will produce which equivalent expression.
1. 6(4+3y)
2. 6(4x+3y)
3. 3xy(8+6)
4. 3(8x+6y)
Answers
Answer:
6(4x + 2y)
Step-by-step explanation:
24x = 2 * 2 * 2 * 3 * x
18y = 2 * 3* 3 * y
Common factors = 2 * 3 = 6
24x + 18y = (6*4x) + (6*2y) {6 is common in both terms}
= 6*(4x + 2y)
Which of the following equations represents a line that is perpendicular to
y = -4x+9 and passes through the point, (4, 5)?
O A. y - 1x+6
OB. y = x +5
O C. y = *x+4
D. Y = -4x+4
Answers
Answer:
y = 1/4 x +4
Step-by-step explanation:
y = -4x+9
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
the slope is -4
Lines that are perpendicular have slopes that are negative reciprocals
The slope of the perpendicular line is -1 /(-4) = 1/4
The perpendicular line is
y = 1/4x+b
It goes through (4,5)
5 = 1/4(4) +b
5 = 1+b
b=4
y = 1/4 x +4
repost , can someone help asap!
Answers
Answer:
y = -3/4x + 3
Step-by-step explanation:
a) |9+x|=2x
b) |x+6|=2x+9
Answers
Answer:
a) 9
b) -3
Step-by-step explanation:
a)
|9+x|=2x
9 + x = 2x
- x -x
---------------
9 = x
b)
|x+6|=2x+9
x +6 = 2x +9
-x -x
6 = x + 9
-9 -9
--------------
-3 = x
Which linear inequality is represented by the graph?
Answers
Answer:
Wow
Step-by-step explanation:
I love the question pls i also want to know the answer to it
I need help with this
Answers
Answer:
45
Step-by-step explanation:
What is the period of the graph of y=1/2 sin (2πx) -3?
A. 1
B. 1/2
C. 3
D. 2π
Answers
Answer:
A. 1
Step-by-step explanation:
Since this graph is in the form A sin (B(x+c))+d, where
the amplitude is the absolute value of AThe period is 2pi/BPhase Shift is CMidline is y=DTherefore, the values are
A=1/2
B=2pi
C=0
D=-3
So the period is 2pi/2pi which is 1.
