Step-by-step explanation:
in a square 2 sides with a diagonal creates a right-angled triangle, with the diagonal being the Hypotenuse (the side opposite of the 90° angle).
the diagonal is 3+3 = 6 units long.
let's call the square side length "s".
then we have via Pythagoras
6² = s² + s² = 2s²
36 = 2s²
18 = s²
s = 4.242640687 ≈ 4.2 units
Given ∠4≅∠14, which lines, if any, must be parallel based on the given information? Justify your conclusion. a∥b, Converse of the Same-Side Interior Angles Theorem a∥b, Converse of the Alternate Interior Angles Theorem a∥b, Converse of the Corresponding Angles Theorem not enough information to make a conclusion Two horizontal, parallel lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal parallel lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.
Answer:
a∥b, Converse of the Alternate Interior Angles Theorem
help for brainliest and 10 points
Answer:
-3
Step-by-step explanation:
[tex]0.002 = 2 \times {10}^{ - 3} \\ \implies \: x = - 3[/tex]
What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points) Blank 1:
Hey there!
This is a one-step equation, meaning that we can solve it in one step.
This is the step:
Subtract 14 from both sidesGoal:
To find out the value of xSubtract 14:
x+14-14=63-14
the 14's on the left cancel:
x=49
Hence, the answer is
[tex]\boxed{\boxed{\bold{x=49}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
[tex]\rule{200}{2}[/tex]
Help solve for “q”
—————————————
Digram:-
[tex] \\ [/tex]
[tex]\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\put(5,1){\vector(1,0){4}}\put(5,1){\vector(-1,0){4}}\put(5,1){\vector(1,1){3}}\put(2,2){$\underline{\boxed{\large\sf a + b = 180^{\circ}}$}}\put(4.5,1.3){$\sf a^{\circ}$}\put(5.7,1.3){$\sf b^{\circ}$}\end{picture}[/tex]
[tex] \\ [/tex]
STEP :-
[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
{Linear pair}
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}= 18 {0}^{ \circ} - {117}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}=63^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt4q - 1{}^{ \circ}=63^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt4q =63^{ \circ} + 1{}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt4q =64{}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{64}{4}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{16 \times 4}{4}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{16 \times \cancel4}{\cancel4}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{16}{1}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \bf q = 16 \degree[/tex]
[tex] \\ \\ [/tex]
Verification:
[tex] \\ [/tex]
[tex] \dashrightarrow \tt(4 \times 16- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt(64- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt63^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt180^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
LHS = RHS
HENCE VERIFIED!
Answer:
Value of [tex]\sf\purple{q\: = \:16.}[/tex]
Step-by-step explanation:
[tex]\rightarrow[/tex]As we know that,
Sum all angles that lie on a straight line = [tex]\sf\blue{180°}[/tex]
So,
[tex]\rightarrow[/tex] [tex]\sf{(4q-1)°+ 117°\: = \:180°}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:180-117}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:63}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{4q\: = \:63+1}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{q\: = \:\frac{64}{4}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{q\: = \:16}[/tex]
Thus, [tex]\sf\purple{q\: = \:16.}[/tex]
_________________________________
Hope it helps you:)
What numbers could replace each letter to make both of the number sentences true?
Answer:
N = 9 & P = 4
Step-by-step explanation:
N* N = 81
N * N = 9*9
N = 9
N * P = 36
Substitute N = 9,
9* p = 36
P = 36 ÷ 9
P = 4
The family soent 125$ in may for electric bills, in june the bill increased by 12% bc they used the ac more often. Write a equation to calculate their total electricity bill in june. Let y equal the total cost
Answer:
125x 12 and divide the answer
Step-by-step explanation:
Answer:
125x 12 and divide the answer
Step-by-step explanation:
There are several ways to reduce how much does it cost to run an air conditioner. The two main ones are:Buying an air conditioner with a high energy efficiency rating (EER, SEER, CEERratings are valid specifications).Reducing the number of hours per day that you use a given air conditioner.Note: It’s recommended to estimate how much electricity does an air conditioner use before buying a specific unit.On average, running an air conditioner costs between $0.06 and $0.88 per hour. Let’s calculate how much does air conditioning cost per month (running 8h per day):
Simplify the given expressions below.
I) 4x + 8 - 2x + 7
2) 2n ×5 ×2a
3) 6a power 5 over 3a power 2 ×2a
please work it out and clear
Step-by-step explanation:
1) [tex] \Rightarrow \: \sf \: 4x + 8 - 2x + 7[/tex]
Combine like terms
[tex] \rightarrow \: \sf \: ( 4x - \textcolor{green}{2}x) + (7 + \textcolor{green}{8})[/tex]
Add 4x and 2x , 7 + 8
[tex] \rightarrow \sf \: 2x + 15[/tex]
~Done~
2) [tex] \Rightarrow \sf 2n ×5 ×2a[/tex]
[tex] \rightarrow \sf \:( 2n) (5) (2a)[/tex]
[tex] \rightarrow \sf \: 20an[/tex]
~Done~
How to solve x + y[tex]\frac{dy}{dx}[/tex] = 0
Given that solution goes to (2,0) Neither x nor y can exceed 2
Answer:
The answer is {D}
Step-by-step explanation:
A building that is 150 ft tall casts a shadow of 20 feet long.
At the same time a tree casts a shadow of 2 ft. How tall is
the tree?
a. 15
b. 20
c. 25
d. 30
Answer:
a.15 feet
Step-by-step explanation:
150 divided by 20 is 7.5
7.5 times 2 is 15
The temperature at 1:00 p.m. on Tuesday was -13°C. There was an increase of 6º per
hour starting at 1:00 p.m. Which of the following best represents the Celsius
temperature n hours after 1:00 p.m. on Tuesday?
A. -13 + bn
B. -13 - 6n
C. -13n + 6
D. -13n - 6
At 1.00Pm the temperature was -13°C
No of hours be nIncrease rate=6°C/hourSo
The equation is
y=6n+(-13)y=6n-13y=-13+6nWhich part of the algebraic expression 7a - 4 is the constant?
7a4
4
7 a
O7
Señora Cruz will use four triangles on the door decor. How many square centimeters of paper will Señora Cruz use to create the triangles?
Triangle has bases as 3.7 and height as 6.8
Square has length as 7.5 and width as 3.9
Answer:
50.32 cm²
Step-by-step explanation:
The area of a triangle can be computed using the formula ...
A = 1/2bh
For a triangle with base 3.7 cm and height 6.8 cm, the area is ...
A = 1/2(3.7 cm)(6.8 cm) = 12.58 cm²
__
For four (4) triangles, Señora Cruz will need 4 times this area:
4 × (12.58 cm²) = 50.32 cm²
Señora Cruz will need 50.32 cm² of paper to create her door decor.
solve this question plss on number line
Answer:
3. 13/36, 14/36, 15/36, 16/36, 17/36
4.
-0.5 -0.25 0 0.25 0.5
5. 0.05
3.
between 1/2 and 1/3five rational numbers:
0.35, 0.4, 0.42, 0.45, 0.46
4. Given in the graph below.
5. (-2/5 + 1/2)/2 = 0.05
How do you solve this
2x + 3 = 12
[tex]======================================[/tex]
In order to solve this equation, we should first subtract 3 from both sides:
[tex]\pmb{2x=12-3}[/tex]
Which equals
[tex]\pmb{2x=9}[/tex]
Divide both sides by 2
[tex]\pmb{x=\displaystyle\frac{9}{2} }[/tex]
[tex]======================================[/tex]
note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Answer:
If you are trying to find slope this is how you solve it.
Step-by-step explanation:
2x+3=12
-2x -2x
3=-2x+12
÷3 ÷3 ÷3
y=-2/3x+4
So if you are trying to find the slope it is -2/3x and the y intercept is 4.
Please help this is due
[tex]\text{Area of equilateral triangle ABC}\\ \\=\dfrac{\sqrt 3}{4} BC^2\\\\=\dfrac{\sqrt 3}4 \cdot 12^2\\\\=\dfrac{144\sqrt 3}{4}\\\\=36\sqrt 3[/tex]
a thousand dollars is left in a bank savings account drawing 7% interest, compounded quarterly for 10 years. what is the balance at the end of that time
Work Shown:
A = P*(1+r/n)^(n*t)
A = 1000*(1+0.07/4)^(4*10)
A = 2001.59734318603
A = 2001.60
This assumes that you do not withdraw any of the money over the course of the 10 years. Also, the interest rate must stay the same at 7%.
Jason measured rainfall for a science project. Last week it rained 3 1/8 inches in all. This week it rained 1 7/8 inches on one day and 2 3/4 inches on another. How many more inches did it rain this week than last week? Explain how you found your answer.
Answer:
1 1/2 inches
Step-by-step explanation:
To find how much more a second number is than a first number, the first is subtracted from fhe second. Here, we want to know how much more the second week total is than the first, so we subtract the first week's total from the second week's total.
__
We find the second week's total by adding up the values associated with the different days in the second week.
second week's total = 1 7/8 +2 3/4 = (1 +2) +(7/8 +6/8) = 3 13/8 = 4 5/8
Then the difference is ...
second week's total - first week's total
= 4 5/8 -3 1/8 = (4 -3) +(5/8 -1/8) = 1 4/8 = 1 1/2
It rained 1 1/2 inches more this week than last week.
9x9/16+12 whats the answer
Answer:
17.0625
Step-by-step explanation:
Due to order of operations the division and multiplication get done first and the we add the 12
Answer:
2.89285714
Step-by-step explanation:
9x9/16+12
81/16+12
5.0625 + 12 = 17.0625
Hope this helps :)
Ann got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbons at a craft store. The price of the ribbon was 17 cents per yard. If after that purchase there was $10.41 left on the card, how many yards of ribbon did Ann buy?
Since the price of the ribbon is 17 cents per yards, the number of yards of ribbon Ann bought is 27 yards.
How to find the length(yard) from the cost(dollars)She has 15 dollars in her debit card.
She bought bulk ribbons at a craft store.
The price of the ribbon is 17 cents per yards. Therefore,
17 cents = 0.17 dollars
Hence,
Amount debited from her account = 15 - 10.41 = $4.59
Therefore, she spent a total of $4.59 .
The yards of ribbon bought = 4.59 / 0.17
The yards of ribbon bought = 27
Therefore, Ann bought 27 yards of bulk ribbon.
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Which of the following best describes the graph below
Answer:
i believe its A
Step-by-step explanation:
Answer:
B. The graph is not a function.
Step-by-step explanation:
We are given the graph of a relation. It is required to determine whether the graph represents a function or not. 'If a vertical line passing through the graph of the relation cuts the graph at at-most one point, then the given graph represents a function else not'. So, if we plot the vertical line 'x = 3' in the figure, we see that, The vertical line drawn crosses the graph at two points A and B as shown below. Thus it would be B
3. For each triangle, find the length of the labeled side.
Answer:
see explanation for detailed analysis
9×4 - 10 fours - ? fours
Answer:
9×4 - 10 fours - 26 fours
Step-by-step explanation:
9×4 - 10 fours - 26 fours
A Ferris wheel is 20 meters in diameter and completes 1 full revolution in 8 minutes.
A round Ferris wheel
A Ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h(t) gives a person’s height in meters above the ground t minutes after the wheel begins to turn.
a. Find the amplitude, midline, and period of h(t).
Enter the exact answers.
Amplitude: A= meters
Midline: h= meters
Period: P= minutes
b. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t=0. Find a formula for the height function h(t).
Hints:
What is the value of h(0)?
Is this the maximum value of h(t), the minimum value of h(t), or a value between the two?
The function sin(t) has a value between its maximum and minimum at t=0 , so can h(t) be a straight sine function?
The function cos(t) has its maximum at t=0, so can h(t) be a straight cosine function?
c. If the Ferris wheel continues to turn, how high off the ground is a person after 30 minutes?
Given that the Ferris diameter is 20 meters, with a rate of rotation of 1 turn in 8 minutes, we have;
a. Amplitude: A = 10 meters
Midline: h = 11 meters
Period, P = 8 minutes
b. h(t) = 10•cos((π/4)•t + π) + 11
c. 11 meters
How can the Ferris wheel be evaluated?The amplitude is the same as the radius of the Ferris wheel,
The radius of the Ferris wheel = 20 ÷ 2 = 10
Therefore;
Amplitude: A = 10 meters[tex]the \: midline \: = \frac{max \: height \: + min \: height}{2} [/tex]
Therefore;
[tex]midline \: = \frac{10 + 10 + 1 + 1}{2} = 11[/tex]
Midline: h = 11 metersThe period is the time to complete one rotation, therefore;
Period, P = 8 minutesb. h(t) = A•cos(B•t + C) + h
Where;
B = 2•π/P
When t = 0, h(t) = 1
Which gives;
h(0) = 1 = 10 × cos(B×0 + C) + 11
-10/10 = -1 = cos(C)
C = arcos(-1) = π
Therefore;
h(t) = 10•cos((π/4)•t + π) + 11h(0) = 1
h(0) is the minimum value of h(t)
h(t) cannot be a straight sine function because of the vertical shifth(t) cannot be a straight cosine function because at t = 0, is the minimum pointc. After 30 minutes, we have;
h(30) = 10•cos((π/4)×30 + π) + 11 = 11
The height of a person after 30 minutes is 11 metersLearn more about the Ferris wheel here:
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A triangle has an angle measuring 90., an angle measuring 20., and a side that is 6 units long. The 6-unit side is in between
the 90 and 20. angles.
Is this a picture of the above triangle?
yes - true
no-false
Will give branliest
Yes :- true
as in the diagram 6 units in between the 20° and 90° and third angle will be 180-110 = 70°
Triangle with angle 90 and 20 degree possible as it Satisfies the angle sum property.
What is Angle Sum Property?The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments.
Given:
angles= 20 and 90 degree
Using Angle Sum property
20 + 90 + <3 =180
<3 = 180 - 110
<3 =70
Hence, the Triangle with angle 90 and 20 degree possible as it Satisfies the angle sum property.
Learn more about Angle Sum Property here:
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#SPJ2
4
Find the perimeter of a
Square with a side
length of 7 meters.
Answer: P=28 meters
Step-by-step explanation:
[tex]P=4[/tex] × a ⇒ a is the side length
[tex]P=4[/tex] × [tex]7[/tex]
[tex]P=28[/tex]
Answer:
28 m
Step-by-step explanation:
Given
Side length = 7 mPerimeter of a square
4 x Side length4 x 728 mWhat are the solutions to the system of equations graphed below?
A. (-2, 0) and (6,0)
B. (-3, -3) and (0,6 )
C. (-3,3) and (6,0)
D. (-2,0) and (2,0)
Answer:
looking at the straight line, it touches the axis at (-2,0) and (6,0)
Step-by-step explanation:
4sin45 degrees cos 15degrees=1+square root 3
[tex]\text{R.H.S}\\\\=4\sin 45^{\circ} \cos 15^{\circ} \\\\=4\sin 45^{\circ} \cos (45^{\circ}-30^{\circ})\\ \\=4 \sin 45^{\circ} \left(\cos 45^{\circ} \cos 30^{\circ} +\sin 45^{\circ} \sin 30^{\circ} \right)\\\\=4 \left(\sin 45^{\circ} \cos 45^{\circ} \cos 30^{\circ} +\sin^2 45^{\circ} \sin 30^{\circ} \right)\\[/tex]
[tex]=4\left[\dfrac 1{\sqrt 2} \cdot \dfrac 1{\sqrt 2} \cdot \dfrac{\sqrt 3}2 +\left( \dfrac 1{\sqrt 2} \right)^2 \cdot \dfrac 12 \right]\\ \\=4\left(\dfrac{\sqrt 3}4 +\dfrac 14\right)\\\\=4\cdot \dfrac 14 \left(1+\sqrt 3\right)\\\\=1+\sqrt 3\\\\=\text{L.H.S}[/tex]
A can of soda can be modeled as a right cylinder. Aubrey measures its height as 10.1
cm and its circumference as 14 cm. Find the volume of the can in cubic centimeters.
Round your answer to the nearest tenth if necessary.
The volume of the cylinder is the amount of space in the cylinder
The volume of the cylinder is 218.4 cubic centimeter
How to determine the volume of the cylinder?The given parameters are:
Circumference (C) = 14 cm
Height (h) = 10.1 cm
Start by calculating the radius (r) using:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]2\pi r = 14[/tex]
Make r the subject
[tex]r =\frac 7\pi[/tex]
The volume of the cylinder is then calculated as:
[tex]V =\pi r^2h[/tex]
This gives
[tex]V =\pi * (\frac{7}{\pi})^2 * 14[/tex]
Evaluate
[tex]V =218.4[/tex]
Hence, the volume of the cylinder is 218.4 cubic centimeter
Read more about volumes at:
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i need help quick.......
[tex]\text{Radius of circle, r} =\dfrac 62 = 3~ m \\\\\text{Area of circle} = \pi r^2 = \pi \cdot 3^2 = 3.14 \times 9 =28.26~m^2[/tex]
Lisa, Kim and Bridget flew total of 7800 miles on Southwest airlines last year. Lisa flew 1500 miles. Kim flew 2200 miles. How many miles did Bridget fly?
Answer:
Bridget flew 4100 miles.
Step-by-step explanation:
L + K + B = 7800
1500+2200+B=7800
3700 + B = 7800
Subtract 3700.
B = 4100
Bridget flew 4100 miles.