The measure of the third angle in a triangle will be 112°.
How to calculate the triangle?Your information is incomplete. Therefore, an overview will be given.
Let's assume the the angles given in a triangle are 23° and 59°. The third angle will be:
= 180° - (23° + 59°)
= 180° - 82°
= 112°
It should be noted that a triangle has three angles.
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Describe the transformation of the function f(x)=2|x+3| from its parent function. WHOEVER HELPS ME I WILL MARK BRAINLEST :)
Parent function is general modulus function
y=|x|Now
x is increased by +3 so change in x axis and vertex.
The vertex shifted 3 units leftwards .
And it's multiplied with 2Means compression factor is 2
Both graphs attached
Answer:
Translated 3 units leftStretched parallel to the y-axis (vertically) by a scale factor of 2
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
Parent function: [tex]f(x) = |x|[/tex]
Translated 3 units left: [tex]f(x+3)=|x+3|[/tex]
Stretched parallel to the y-axis by a factor of 2: [tex]2f(x+3)=2|x+3|[/tex]
Therefore, the function has been:
Translated 3 units leftStretched parallel to the y-axis (vertically) by a scale factor of 2Attachments
Green graph - parent function [tex]f(x) = |x|[/tex]
Red graph - Translated 3 units left [tex]f(x)=|x+3|[/tex]
Blue graph - Stretched [tex]f(x)=2|x+3|[/tex]
I will mark branilest If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?
A. 20
B. 22
C. 24
D. 26
Answer:
[tex]22[/tex]
Step-by-step explanation:
Because:
[tex]a \times b = 2a - 3b + ab[/tex]
Then:
[tex]3 \times 5 + 5 \times 3[/tex]
[tex]6 - 15 + 15 + 10 - 9 + 15 \\ = 22[/tex]
Answer:
B. 22
Step-by-step explanation:
Given
a x b = 2a - 3b + ab3 x 5
2(3) - 3(5) + 3(5)65 x 3
2(5) - 3(3) + 3(5)1 + 1516⇒ 3 x 5 + 5 x 3
⇒ 6 + 16
⇒ 22 (Option B)
a truck tire has a diameter of 3 feet how far will the truck travel with 20 rotations of the tire?
Answer:
60 ft
Step-by-step explanation:
3 times 20 is 60 ft so there is your answer
Answer:
C
Step-by-step explanation:
Diameter is 3 feet, and the radius is half the diameter.
Radius = 3/2 = 1.5 feetCircumference
2 × π × 1.53πDistance travelled in 20 rotations
20 x 3π60π ftCHELP!!! simplify the expression.
4√2 × 5√8
Write a recursive formula for the explicit formula.
A(n)=5+(n− 1)(-4)
Answer:
[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]
Step-by-step explanation:
Recursive formula allows us to find the value of a specific term based on the previous term.
Explicit formula allows us to find the value of a specific term based on its position.
Given explicit formula: [tex]a(n)=5+(n-1)(-4)[/tex]
[tex]\implies a(1)=5+(1-1)(-4)=5[/tex]
[tex]\implies a(2)=5+(2-1)(-4)=1[/tex]
[tex]\implies a(3)=5+(3-1)(-4)=-3[/tex]
[tex]\implies a(4)=5+(4-1)(-4)=-7[/tex]
From inspection of the sequence, we can see that to get the next term, we need to subtract 4 from the previous term.
[tex]5 \underset{-4}{\longrightarrow} 1 \underset{-4}{\longrightarrow} -3 \underset{-4}{\longrightarrow} -7[/tex]
Therefore, the recursive formula is:
[tex]a_n=a_{(n-1)}-4[/tex]
For a recursive formula, we also need to give the value for [tex]a_1[/tex] .
Therefore, the final recursive formula for the explicit formula is:
[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]
why π is not equal to 3.1416
Answer:
pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive
Step-by-step explanation:
In decimal form, the value of pi is approximately 3.14. But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). (To only 18 decimal places, pi is 3.141592653589793238.)
8.
Consider a function which takes certain values, as shown in the table below.
--
x | -2 | 0 | 3 | 8 |
y | 10 | 6 | 0 | -10 |
Find the average rate of change between x = -2 and x = 0
Step-by-step explanation:
i just answered this.
the average change rate is the change of the functional result in a given interval relative (= divided by) to the length of the interval of the input variable.
in short
( f (interval upper limit) - f (interval lower limit) ) /
(interval upper limit) - (interval lower limit)
upper limit = 0
lower limit = -2
the functional values (y) are 6 and 10 at these points.
so, we get
(6 - 10) / (0 - -2) = -4 / 2 = -2
10 Find the standard equation of the circle having the given center and radius.
the standard equation of the circle having the given center and radius is [tex](x-9)^2+(y-2)^2=\frac{9}{25}[/tex].
What is the prime factorization of 120?
Answer:
2 to the power of three × 3 × 5
Step-by-step explanation:
2/2x-3
………………………………….
Answer:
(D. (-oo,0) U (0, oo )
[tex]( \infty 0)(0 \infty )[/tex]
(-oo,0) U (0, oo )
Given h(x)=2x3 + x2 +7, what is the value of h(−3)?
With the steps please.
Answer:
-38.
Step-by-step explanation:
Plug x = -3 into the given function
h(-3) = 2(-3)^3 + (-3)^2 + 7
= -54 + 9 + 7
= -54 + 16
= -38.
question on absolute value
|x +1|+|x −2|=3
Drag the numbers into the boxes to write the number in standard form. Numbers may be used once, more than once, or not at all.
4
×
10
)
+
(
3
×
1
100
)
+
(
5
×
1
1000
)
01345
.
The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.
What is standard form?A standard form of a number is known to be the used in writing the number in a way that follows a specific rules.
Therefore, The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.
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When Lillian goes bowling, her scores are normally distributed with a mean of 130
and a standard deviation of 11. Using the empirical rule, what percentage of the
games that Lillian bowls does she score between 119 and 141?
Using the Empirical Rule, it is found that she scores between 119 and 141 on 68% of the games that she bowls.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering that the mean is of 130 and the standard deviation is of 11, the interval between 119 and 141 is within one standard deviation of the mean, hence she scores between 119 and 141 on 68% of the games that she bowls.
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Pick the geometric term that matches the real-world object. cylinder cube sphere triangular prism rectangular prism
Answer:
cylinder
Step-by-step explanation:
A mascara tube is a cylinder
Hector would also like to see a professional sumo tournament while he is there, which would cost him ¥5,488. if the conversion rate of us dollars to japanese yen is 1:94.153 at the time of hector’s trip, how will this affect his budget? a. hector can see the sumo tournament and have about $322 left over. b. hector can see the sumo tournament and have about $86 left over. c. hector has exactly enough left in his budget to see the sumo tournament. d. hector cannot afford to see the sumo tournament, because it would put him over budget by almost $12.
Based on the exchange rate and Victor's budget, hector can see the sumo tournament and have about $322 left over.
How to find cost of Victor's tournament?Amount with Victor = $380Conversion rate of US dollars to Japanese yen = 1 : 94.153
Cost of the trip = ¥5,488Ratio of dollar to Yuan
1 : 94.153 = x : 5,488
1/94.153 = x / 5,488
cross product1 × 5,488 = 94.153x
5,488 = 94.153x
x = 5,488 / 94.153
x = 58.2881055303601
Approximately,
x = $58
Amount left with Victor = Total money with Victor - amount spent
= $380 - $58
= $322
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I want a answer to my question
Answer:
50, 25
Step-by-step explanation:
The general pattern expressed by the sequence 800, 400, 200, 100 seems to be the previous number divided by 2. Therefore the next two numbers in this number pattern are most likely 100 / 2 = 50 and 50 / 2 = 25.
Answer:
50 and 25
Step-by-step explanation:
x / 2 is the constant
next number
100/2 = 50
next number
50/2 = 25
The volume of a pyramid that fits exactly inside a cube is 9 cubic feet. what is the volume of the cube? 3 cubic feet 6 cubic feet 18 cubic feet 27 cubic feet
The volume of a pyramid that fits exactly inside a cube is 9 cubic feet is 3 cubic feet
Volume of a pyramidThe formula for calculating the volume of a pyramid is expressed as:
V = Base area. * height/3
Since it is a cube with a volume of 9 cubic feet, the length of the cube will be:
l = ∛9
l = 2.08
Determine the volume of the pyramid
V = 9/3
V = 3 cubic feet
Hence the volume of a pyramid that fits exactly inside a cube is 9 cubic feet is 3 cubic feet
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A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, n (in millions), being produced in t years? n = StartFraction 2. 5 (1. 5) Over t EndFraction, t not-equals 0 n = 1. 5 t squared 1. 25 n = 1. 5 t 1. 25 n = 1. 25 times 2. 5 Superscript t.
Answer:
see the attachment!
i hope this can help you!
PLS HELP!! I'M ON A TIME!!
Sid has a water dispenser in his refrigerator as shown in the figure.
A prism has a length of 4 inches, height of 14 inches, and width of 8 inches.
Sid would like to have three water dispensers in his refrigerator. How much cubic space will all three dispensers take up in Sid’s refrigerator?
448 in.3
896 in.3
1,200 in.3
1,344 in.3
Answer:
Its d
Step-by-step explanation:
The other person is wrong because they only solved for one water dispenser you are supposed to solve for all three :)
Using the volume of the rectangular prism, it is found that the three dispensers will take 1,344 in³ in Sid's refrigerator.
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and height h is given by the multiplication of these three dimensions, that is:
V = lwh.
In this problem, there are three dispensers, each with l = 4 in, h = 14 in, w = 8 in, hence the volume is given by:
V = 3 x 4 x 14 x 8 = 1,344 in³.
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The number is between 500 and 510 it is an odd number its one place has the smallest 1 dugit number
Answer:
501
Step-by-step explanation:
Odd numbers between 500 and 510 are 501,503,505,507,509. Out of them the number has its one place the smallest 1 digit number is 501
Marcy makes 15 of 20 free throws at basketball practice. What is the probability that she will miss her free throw? Possible answers are A. 1/2 B. 3/4 C.2/5. D. 1/4
Answer:
D. 1/4
Step-by-step explanation:
You want to know the probability Marcy will miss a free throw, given that she makes 15 of 20.
ProbabilityWe assume Marcy's record at practice is typical of her performance. It tells us that she makes 15/20 = 3/4 of the free throws she takes. That means she misses 1 -3/4 = 1/4 of the free throws.
The probability she will miss her free throw is 1/4.
__
Additional comment
Many assumptions are involved in this calculation. One of them is that her next throw is unaffected by her last throw. It is a rare player for whom that is the case.
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Does Anybody know this? Find the area of the shaded sector
Step-by-step explanation:
your teacher was very nice and warned you about the trap in the question.
so, really, what do we have to do ?
a full circle represents 360°.
the shaded sector is the full circle minus the white sector !
this is the same as directly calculating the shaded sector for 360-75 = 285°.
so, the area of a circle is
pi×r²
in our case
pi×20² = 400pi
the needed fraction of the whole circle is either
75/360, if we want to subtract it for the solution
or
285/360, if we want to calculate the solution directly.
both lead to the same result.
400pi×360/360 - 400pi×75/360 =
= 400pi × 285/360 = 10pi × 285/9 = 2850pi/9 =
= 316.6666666...pi ≈ 316.7pi
5-16 find the general indefinite integral.
8. [tex]\int\left(u^{6}-2 u^{5}-u^{3}+\frac{2}{7}\right) d u[/tex]
[tex]\displaystyle\int \left( u^6 - 2u^5 - u^3 + \cfrac{2}{7} \right)du\implies \cfrac{u^7}{7}-2\cdot \cfrac{u^6}{6}-\cfrac{u^4}{4}+\cfrac{2}{7}u \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{u^7}{7}- \cfrac{u^6}{3}-\cfrac{u^4}{4}+\cfrac{2u}{7}+C~\hfill[/tex]
(x - 2)^2/36-(y+1)^2/64=1The vertices for the hyperbola are (2,5) and (2,-7) true or false
Answer: False
Step-by-step explanation:
I checked with a graphing app huhu... sorry TT
The vertices are (8, -1) , (-4, -1).
help me please I need it
Answer:
A
Step-by-step explanation:
The formula for a rectangular prism is length*width*height. Thus, the equation would be 6*4*16, which equals 384 cm^3.
The pyramid of the sun in mexico is a square pyramid. the base edge is approximately 220 meters, and the height is approximately 70 meters. what is the approximate surface area of the sides of the pyramid to the nearest thousand square meters? the lateral surface area is about .
The lateral surface area is about 105,600 meters.
What is lateral area of a pyramid?The area of the pyramid is the measure relative to its surface and is obtained by the sum of the areas of the bases (polygonals) and of all the lateral faces (triangles). For the calculation of the lateral area of a pyramid, we will have the perimeter of the base by the inclined height of the pyramid.
In this case, the formula of the lateral surface area is:
[tex]SA=\frac{P*S}{2}+B[/tex]
Where:
P= perimeter of baseS= slant heightB= area of baseThe height informed will not be used, it will only be a parameter to perform pythagoras, that is, we will find the hypotenuse of the triangle created by the height, like this:
[tex]S=\sqrt{(B)^2/2+H^2} \\S=\sqrt{110^2+70^2}\\S=\sqrt{17,000}\\ S=130[/tex]
Returning to the formula given above, we find that:
[tex]SA= \frac{(220*4)(130)}{2}+(220*220)\\ SA= 57,200+48,400= 105,600 \ meters[/tex]
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Greta is painting two different rectangular prisms. The prisms have the following dimensions.
Prism A:
Length: 1 foot
Width: 4 inches
Height: 8 inches
Prism B:
Length: 10 inches
Width: 2 inches
Height: 1.5 feet
Which prism has a greater surface area, and what is its surface area in square inches?
Answer:
prism B is greater
Step-by-step explanation:
prism A
lenght: 1×4=4
width: 4×8=32
height: 8×1=8
add them all up and multiply it by 2 = 4+32+8×2=52
prism B
lenght: 10×2=20
width: 2×1.5=3
height:1.5×10=15
add them all up and multiply it by 2= 20+3+15×2=76
What is the product of (x − 3) and (x + 7)?
- - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the product of (x-3) and (x+7)?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
First multiply the x's:-
x•x=x²
Now multiply x times 7:-
7x
So we have
x²+7x
Now multiply -3 times x:-
-3x
So we have
x²+7x-3x
Now multiply 7 and -3:-
x²+7x-3x-21
On simplification,
x²+4x-21
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Find the length of the third side. If necessary, write in simplest radical form
Answer:
7.2
Step-by-step explanation:
(6)^2 + (4)^2
36 + 16
52
square root of 52 = 7.2
