Answer:
85
Step-by-step explanation:
think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :
77^2 + 36^2 = c^2
7225 = c^2
c = 85
Hello! I really need some help with this (:
Answer:
y = 3x + 3
Step-by-step explanation:
As x increases, y increases by 3. Therefore, the slope of the function is 3.
Setting x = 0 will give an output of 3. Therefore, the y-intercept is (0, 3).
Overall, the function rule for the given data set is y = 3x + 3.
Find the value of x in each case
Answer: x=45
Step-by-step explanation:
To solve for x, we first need to understand the figure. We know TV and RS are parallel lines. If we extend TV to the left, we get a straight line parallel to RS. By Alternate Interior Angles, We know ∠R is equivalent to ∠T on the very left. Therefore, we can set it equal to 180° and solve.
x+2x+x=180 [combine like terms]
4x=180 [divide both sides by 4]
x=45
Now, we know x=45.
20 points lovelys <3
Answer:
A) 2 cm
Step-by-step explanation:
By definition, regular polygons have equal sides and angles. Therefore, each side of the regular hexagon must be equal. Since one side is marked as 2 cm, the length of PQ must also be 2 cm.
PLEASE HELP, I'LL MARK BRAINLIEST.. Of the 37 teachers at Francesca's high school, 9 are female. What is the ratio of the number of male teachers to the total number of teachers? Please write in decimal form
Pure mathematicsssss
Answer:
(i) a = 2
b = -1
c = -1
(ii) x= 1
Step-by-step explanation:
Step 1: Factorise
[tex]f(x) = 2(x^{2} -2x+\frac{1}{2})[/tex]
Step 2: Use the complete square method.
[tex]f(x)=2(x^{2} -2x+(\frac{-2}{2})^{2} + \frac{1}{2} - (\frac{-2}{2})^{2} )[/tex]
Step 3: Have it to [tex]a(x+b)^{2} +c[/tex]
[tex]f(x)=2((x-1)^{2} -\frac{1}{2} )\\ = 2(x-1)^{2} -1[/tex]
Line of symmetry:
To find line of symmetry, we use -b/2a formula.
Based from [tex]2x^{2} -4x+1[/tex]:
a=2, b=-4
-b/2a = -(-4)/2(2) = 1
PLS HELP ASAP! 20 PTS
evaluate
Answer:
Step-by-step explanation:
Cos^-1(1/2) = 60
To get from a degree to radian, simply multiply by pi then divide by 180. So the final answer is 1/3pi or approximately 1.0472
I hope this helped! :D
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 1 and flipping heads? Write your answer as a fraction in simplest form.
Answer:
5/12Step-by-step explanation:
Number cube:
Numbers greater than 1 → 5 options out of 6Coin:
Heads → 1 out of 2Required probability:
P(>1 & H) = 5/6*1/2 = 5/12Answer: Probability of rolling a number more than one: 5/6
Probability of heads: 1/2
Probability of both: 1/2 + 5/6 = 4/3
Step-by-step explanation:
BC has endpoints B(5,9) and C(-4,-3). Find the coordinates of the midpoint of BC.
I need help !!
Answer:
(0.5,3)
Hope this helps..Have a good day!!
What is the slope of the line?
y
slope = 13
slope = -3
slope =3
Answer:
slope = 3
Step-by-step explanation:
Take a look at the grid, when the x = 0, y = -2, so it means you have a function with form y = a•x - 2
Now, look at the grid lime when x = 2, at this point, y = 4. If the function doesn't had -2, y in x = 2 would be 4 + 2 = 6
Which number you multiply 2 to have 6? Number 3, so this is the slope, and the function is y = 3x -2
Answer:
3
Step-by-step explanation:
Start at the y-intercept
Slope is rise (up/down) over run (move to the right/left)
First you rise 3
And you run 1
3/1 is 3 thus 3
Find the value of f(x) at the given value of x: f(x) = (x -4)(x + 3), x = 3
Answer:
-6
Step-by-step explanation:
f(x)= (3- 4)(3+3)
=( -1 )(6)
= -6
solve for θ.
sin(74) = cos(θ)
1. 6°
2. 74°
3. 36°
4. 16°
Sin74 = Cos16
cause 16 + 74 = 90
Whenever the sum of two angles is equal with 90, the Sin of one is equal with the Cos of the other like :
Sin(30) = Cos(60)
and also
Tan(30) = Cot(60)
Answer:
16
Step-by-step explanation:
sin(74) = cos(x)
sin(x)=cos(90-x)
sin (74) = cos(90-74)
sin 74 = cos( 16)
A basketball is shot into the air. Its height is represented by the polynomial equation h(t) = –16t2 + 35t + 5, where h is the height of the basketball at t seconds. What's the height of the basketball at 1.5 seconds?
Question 4 options:
20.2 feet
18.8 feet
21.5 feet
16.7 feet
Answer:
height = 21.5 ft
Step-by-step explanation:
Substitute t = 1.5 into h(t) and evaluate
h(1.5) = - 16(1.5)² + 35(1.5) + 5
= - 16(2.25) + 52.5 + 5
= - 36 + 57.5
= 21.5 ft
Answer:
21.5 feet.
Step-by-step explanation:
Let t = 1.5
[tex]h(1.5)=-16(1.5)^2+35(1.5)+5\\h(1.5)=-36+52.5+5\\h(1.5)=21.5[/tex]
Therefore, at 1.5 seconds, the basketball is 21.5 feet in the air.
tại teamart,1 ly trà sữa có giá a đồng và 1 ly kem có giá là b đồng.Hãy viết biểu thức đại số biểu thị số tiền bạn Cúc mua 3 ly trà sữa và 4 ly kem
Answer:
3 a + 4 b
Step-by-step explanation:
Biểu thức đại số biểu thị bạn Cúc mua 3 ly trà sữa và 4 ly kem là:
3 a + 4 b
1:4 of 2,500 what is it???
Answer:
40% of 2500=
100
40
×2500
=1000
Step-by-step explanation:
Write the calculation exactly as you say it:
If 8x-4=12;then 2x - 1=
Answer: 21
Step-by-step explanation:
Step-by-step explanation:
tbh I have no idea
doing this for points
so yeah
A sequence starts 0, 5, ...
Give a rule the sequence could follow and the next 3 terms for that rule.
Give a different rule the sequence could follow and the next 3 terms for that rule.
Answer:
0, 5, 10, 15, 20
0, 5, 40, 405, 5,120
Step-by-step explanation:
One rule can be "add 5 to the previous term to get the next term."
0, 5, 10, 15, 20
Second rule:
For each term number 1, 2, 3, ..., n,
each term = 5(n - 1)^n
0, 5, 40, 405, 5,120
The next three terms for the rule Tn = a + (n-1)d will be 10,15 and 20
The next three terms for rule 5(n-1)ⁿ will be 40, 405 and 5120.
Sequences are numbers arranged in a specific pattern.
Given the sequence 0, 5...
This sequence can be an arithmetic sequence with nth term expressed as:
Tn = a + (n-1)da is the first term = 0
n is the number of terms
d is the common difference = 5 - 0 5
If n = 3
T3 = 0 + (3-1)*5
T3 = 2 * 5
T3 = 10
If n = 4
T4 = 0 + (4-1)*5
T4 = 3 * 5
T4 = 15
If n = 5
T5 = 0 + (5-1)*5
T5 = 4 * 5
T5 = 20
Hence the next three terms for the rule will be 10,15 and 20
Also, we can also use the recursive rule f(n) = 5(n-1)ⁿ
If n = 3
f(3) = 5(3-1)³
f(3) = 5(2)³
f(3) = 5 * 8
f(3) = 40
If n = 4
f(4) = 5(4-1)⁴
f(4) = 5(3)⁴
f(4) = 5 * 81
f(4) = 405
If n = 5
f(5) = 5(5-1)⁵
f(5) = 5(4)⁵
f(5) = 5 * 81
f(5) = 1024 * 5
f(5) = 5120
Hence the next three terms for the rule will be 40, 405, and 5120.
Learn more here: https://brainly.com/question/16151695
f(x)=−4x
2
+5x
\text{Find }f(6)
Find f(6)
Answer:
-114
Step-by-step explanation:
f(x) = -4x^2 +5x
Let x = 6
f(6) = -4(6)^2 +5(6)
= -4(36) +30
- 144+30
= -114
SOMEONE PLEASE HELP ME ITS URGENT (PICTURE)
Answer:
Question #1
x and its opposing side are equal in length. One of the sides have no fence.Set up an equation to find x:
[tex]x+x+10=26\\2x=26-10\\2x=16\\x=8[/tex]
The length of the side marked x is 8.0 m.
Question #2
New length = 10 + 1 = 11 cmNew width = xNew perimeter = old perimeter = 34 cmSet up an equation to find x
[tex]11+11+x+x=34\\2x=34-22\\2x=12\\x=6[/tex]
The new width is 6 cm.
please please please answer!! will give brainliest and extra points!
I don’t understand how taxes and discounts work in math, could someone explain to me?
Some additional context would be helpful in providing a complete answer. But the basic idea is this:
• Object ABC has a price X set on it.
• Hey, ABC is on sale! Let's say there's a 20% discount. That means 20% of the price X is subtracted from X.
• Boo, there's a 15% sales tax! This means whatever you would pay for ABC, discount included, you will ultimately have to pay an additional 15% of, or 0.15 times, that amount in tax.
Suppose you're looking to buy a T-shirt. The price tag on says it costs $25, but there's a 20% discount and a 15% sales tax.
• The discount has a value of 0.2 ($25) = $5. Subtract this from the original price, and its discounted price is $20.
• The sales tax is applied to this discounted price, and comes out to 0.15 ($20) = $3. This gets added to the discounted price, so you end up paying $23.
Suppose we have a stick of length 1.a) We randomly uniformly choose a point and break the stick into two pieces.Find the expected length of the smaller piece.b) We randomly uniformly choose two points (independently) and break thestick into three pieces. Find the probability that the three resulting piecescan be arranged to form a triangle (i.e. all triangle inequalities are satisfied;i.e no piece is longer than the sum of the other two).
Answer:
Step-by-step explanation:
1) The smaller sticks will range in length from almost 0 unit up to a maximum of 0.5 unit, with each length equally possible.
Therefore, the average length will be about (0 + 0.5)/2 = 0.25 unit
2)If you assume that each break in the stick is uniformly distributed along the length of the stick and is independent of the location of the other break, then the odds are 25% that you will be able to form a triangle with the 3 pieces.
We'll call the length of the stick 1, so each break can occur at a position in the interval [0,1]. Let x and y represent the two breaks. Then we can look at the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is our probability.
If y>x, then the lengths of the pieces are x, y-x, and 1-y.
The triangle inequality must hold for each combination of edges.
for y>x ...
x+y−x≥1−y
x+1−y≥y−x
y−x+1−y≥x
these simplify to...
for y>x ...
y≥1/2
x+1/2≥y
x≤1/2
If we cut our 1x1 square into two triangles along the line x=y,
then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.
The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.
This region takes up 25% of the square, so the probability that you can form a triangle is 25%
The recursive formula for a geometric sequence is: a = 4 an=an-1×3 What is the 3rd term of this sequence?
Answer:
36
Step-by-step explanation:
a1 = 4
an=an-1 *3
a2 = a1 *3 = 4*3 = 12
a3 = a2*3 = 12*3 = 36
please help 15 points (picture)
Answer:
the first difference are all 20.
since the first differences of this relation are constant, it is a linear relation
Answer:
Linear because the account balance increases by a constant 20.
Step-by-step explanation:
→ The first difference is 20 for all values because :
20 - 0 = 20
40 - 20 = 20
60 - 40 = 20
80 - 60 = 20
100 - 80 = 20
[tex]\sqrt{\frac{x-4\sqrt{x}+4 }{x+4\sqrt{x} +4} }[/tex]
Answer:
\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}
\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)=1\:\\ \:\mathrm{Interval\:Notation:}&\:f\left(x\right)=1\end{bmatrix}
Step-by-step explanation:
Inverse property of addition for real numbers
Answer:
The answer would be -a
Step-by-step explanation:
In the examples,
5 + (-5) = 0
-1.33 + 1.33 = 0
THat means there will be a negative then a positive, or a positive then a negative.
INVERSE is the key word in this problem.
Does anyone know the answer plz ?
Answer:
a = 20; b = 10sqrt(3)
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1 : sqrt(3) : 2
b = 10 * sqrt(3)
b = 10sqrt(3)
a = 2(10)
a = 20
Answer: a = 20; b = 10sqrt(3)
Answer:
a=20,[tex]b=10\sqrt{3}[/tex]
Step-by-step explanation:
SOH-CAH-TOA
Tan = O/A
Tan(60)= b/10
[tex]b=10\sqrt{3}[/tex]
Cos = A/H
cos(60) = 10/a
a=20
Please help me with this anyone please and thank you
Answer:
w∈ {-1/5, -5/3]
If this is what you were looking for...
A
D
С
B
If mZABD = 60°, then mZDBC = [?]°
Answer:
60
Step-by-step explanation:
Since the angles are shown equal in the diagram, ABD=DBC=60
Whats the answer
HURRY IM BEING TIMED
Answer:
(C.
I THINK-
Step-by-step explanation:
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
A. 3.7 yds
B. 5.3 yds
C. 2.6 yds
D. 1.9 yds
The height of the given triangle is 3.7 yds. Therefore option A is the correct answer.
We need to find the height of the given triangle.
What is the formula to find the area of the triangle?The formula to find the area of the triangle is Area=√s(s-a)(s-b)(s-c).
Where s is the semiperimeter, a,b and c are sides of the triangle.
Now, s=6+10+14/2=15 yds
Area of a triangle=√15(15-6)(15-10)(15-14)=25.9
Area of triangle=1/2×14×h=25.9 square yds
⇒h=3.7 yds
Therefore, the height of the given triangle is 3.7 yds.
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