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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
what is the third angle of a triangle with angles of 45 and 45?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
Angles in a triangle always add up to [tex]\bold{180\textdegree}[/tex].
❖ Here we are given 2 angles:-
45 and 45, which add up to 90.
❖ Subtract 90 from 180:-
90
✶ So the angles are 45, 45 and 90.
Good luck.
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Answer:
90 degrees.
Step-by-step explanation:
As there are 180 degrees in a triangle
third angle = 180 - 45 - 45 = 90 degrees.
x = √2x-1
Simplify each equation. Make sure to check for extraneous solutions
x= V2 x-1
x-V2 x= -1
x+x = 1/V2
2x = 1/V2
x = 1/2V2
x = V2/4
I need help with my homework
Answer:
y = 50x + 900
Step-by-step explanation:
I used the slope formula (y = mx + b). y represents the total money she earns each month
8. Wilson cut open a packing box that
was shaped like a rectangular prism
to see the net. What shapes did
Wilson see?
A 1 triangle and 2 rectangles
B 1 square and 3 rectangles
c 6 rectangles only
D 6 triangles one
all sides of a rectangular prism would be rectangles.
Answer: c. 6 rectangles only
A flag pole is 35 feet high. The sun shines a shadow of the flag pole to the ground. The shadow,
going out from the base of the flag pole is 12 feet long. What is the distance from the top of the
flag pole to the tip of the shadow?
please solve the problem
Answer:
See below ~
Step-by-step explanation:
Section (xiii) :
m(AB) : m(AC) = m(BD) : m(DC)6 : 8 = 3 : x6/8 = 3/xx = 3/6 x 8x = 0.5 x 8x = 4Section (xiv) :
DE = 1/2(AB)3 = 1/2(x + 1)x + 1 = 6x = 5It is indicated in the diagram that CE = EB :
y - 7 = x - 1y = 5 - 1 + 7y = 12 - 1y = 11Answer: xiii: x=4 xiv: x=5 y=11
Step-by-step explanation:
Ok, for xiii, there is a ratio.
BD:DC aka 3:x You're trying to solve for x (DC)
On the other side of the equation, it's AB:AC aka 6:8 This ratio can be simplified to 3:4 (when you divide both sides by 2)
To set things up:
3:x = 3:4
Notice the similarity? Since they are equal to one another, x must be 4.
Now for xiv, you're trying to find the values of x and y.
DE=3 and AB=x+1
DE=1/2 of AB
so,
3=(x+1)/2 Solving for x, multiply both sides by 2
6=x+1 subtract both sides by 1
-1 -1
x=5
If you plug x to AB, AB = 6
Plug x to BE = 4
To find y, notice how there is a dash that marks them as congruent, so the lengths BE and EC must be equal.
so y-7=4 (adding 7 to both sides)
+7 +7
y=11
Which of the following is a unit fraction? 3/8 ,15/16 ,4/9,1/8
Answer:
its b
Step-by-step explanation:
ab equal 76 because 4
CHOOSE A MYSTERY FRACTION
THEN WRITE 3 TO 5 QLUES FOR
A CLASSMATE TO USE TO GUESS
YOUR FRACTION.
Answer:
Step-by-step explanation:
Guess My Mystery Fraction
1. My fraction has a denominator of 4*12
2. My fraction can be simplified to 5/8
3. My fraction has a numerator of 10*3
Use z scores to compare the given values.
Based on sample data, newborn males have weights with a mean of 3217.9g and a standard deviation of 780.1g. Newborn females have weights with a mean of 3086.5g and a standard deviation of 523.8g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1700g or a female who weighs 1700g?
Using z-scores, it is found that a female who weighs 1700g has the more extreme value relative to the group from which they came.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.For the newborn male, we have that [tex]X = 1700, \mu = 3217.9, \sigma = 780.1[/tex], hence the z-score is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1700 - 3217.9}{780.1}[/tex]
Z = -1.946.
For the newborn female, we have that [tex]X = 1700, \mu = 3086.5, \sigma = 523.8[/tex], hence the z-score is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1700 - 3086.5}{523.8}[/tex]
Z = -2.645.
Due to the higher absolute value of the z-score, a female who weighs 1700g has the more extreme value relative to the group from which they ca,e.
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Find the distance between the pair of points.
(2, 0) and (-1, 1)
Step-by-step explanation:
given points (2,0) and (-1,1)
let A(2,0) and B(-1,1)
A(2,0) B( -1,1 )
(x1 , y1) (x2 , y2)
AB = √(x2 - x1)² + (y2 - y1)²
= √(-1 - 2)² + ( 1 - 0 )²
= √(-3)²+ 1²
= √9 + 1
= √10
Therefore,distance between given points is √10
What’s the area of the field and I need a step by step explanation. Thanks you and have a great day
please help me do this mathematics question..experts .
The partial differential expression is equal to the expression 30 · x · (x³ + y⁴) + 36 · x² · y² · (y² + x²) and the total differential formula is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).
How to apply partial derivatives and total differentials
In the first part of this question we must apply the concept of partial derivatives to find the form of the entire expression, whose variables are two. Partial differentiation is a generalization of the ordinary differentiation:
[tex]\frac{\partial f}{\partial x} = 6\cdot x^{5}+12\cdot x^{3}\cdot y^{4}+y^{6}[/tex] (1)
[tex]\frac{\partial^{2} f}{\partial x^{2}} = 30\cdot x^{4}+36\cdot x^{2}\cdot y^{4}[/tex] (2)
[tex]\frac{\partial^{2} f}{\partial x \,\partial y} = 48\cdot x^{3}\cdot y^{3}+6\cdot y^{5}[/tex] (3)
[tex]\frac{\partial f}{\partial y} = 12\cdot x^{4}\cdot y^{3} +6\cdot x \cdot y^{5}[/tex] (4)
[tex]\frac{\partial^{2} f}{\partial y^{2}} = 36\cdot x^{4}\cdot y^{2} + 30\cdot x\cdot y^{4}[/tex] (5)
[tex]\frac{\partial f}{\partial y \,\partial x} = 48\cdot x^{3}\cdot y^{3}+6\cdot y^{5}[/tex] (6)
Then, the entire expression is:
30 · x⁴ + 36 · x² · y⁴ + 36 · x⁴ · y² + 30 · x · y⁴
30 · (x⁴ + x · y⁴) + 36 · (x² · y⁴ + x⁴ · y²)
30 · x · (x³ + y⁴) + 36 · x² · y² · (y² + x²)
In the second part we must determine the total differential of z with respect to two variables:
[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex] (7)
If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the total differential of the function is:
Δz = 3 · cos (x³ + y³) · x² · (0.3) + 3 · cos (x³ + y³) · y² · (0.2)
Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)
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Can someone answer theese questions do all of them and I will give you brainily
1 .
What does each line on the protractor stand for?
five degrees
one-half of a degree
ten degrees
one degree
2 What part of the protractor do you line up with the vertex?
zero line
degree line
center mark
top of the protractor
3.
What is the first step in constructing an angle?
Make a mark at the number of degrees you want the angle to be.
Connect the endpoint and the mark at the angle measure
Draw a horizontal ray.
Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor.
Answer: i think is b
Step-by-step explanation: because I do read lesson so I guess I think is b that why.
Please help u need help ASAP
Answer:
I Think its fed
Step-by-step explanation:
tan A = 2.053 what is the measure of angle A
Answer:
A =64.03
Step-by-step explanation:
tan A = 2.053
A = Arctan( 2.053)
A =64.03
A line passes through the point (-1, 8) and has a slope of 9. Can someone put that in slope intercept for
Step-by-step explanation:
[tex]y - y_1 = m.(x - x_1)[/tex]
[tex]y - 8 = 9.(x - ( - 1))[/tex]
[tex]y = 9x + 9 + 8[/tex]
[tex]y = 9x + 17[/tex]
Pls help
80 points!
function g is a transformation of f the graph below shows f as a solid blue line and G as a red dotten line
Vertex is same x coordinate
Means y is changed
f(x) has vertex (4,3)
g(x) has vertex (4,-3)
Total change
|3+3|=6So the transmission is f(x)-6
Answer:
[tex]\textsf{D)} \quad f(x)-6[/tex]
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]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
From inspection of the graph, g(x) is a translation of f(x) by 6 units down.
[tex]\implies g(x)=f(x)-6[/tex]
Use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)X-5 + 8
You may wish to graph it and its parent function, y = 0.5% on the same axes.
The parent function y = 0.5% is
า
across its domain because its base, b, is such that
DONE
The function, f shifts the parent function 8 units
DONE
The function, f shifts the parent function 5 units
DONE
Answer:
First box is: decreasing
Second box: 0< b< 1
Third box: Up
Fourth box: Right
Step-by-step explanation:
Help me plsssssssssssssssss
Answer:
h=12
Step-by-step explanation:
by cross multiplying we get 1h=12 or h=12 so h=12
A right triangle has a length of 30 and a side with a length of 18. A side with a length of 24 is opposite angle theta. What statement about the angle theta is true?
HELP QUICKLY PLEASE
Answer:
[tex]\text{A. }\cos \theta = \frac{3}{5}[/tex]
Step-by-step explanation:
See attached file for complete work.
The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM : MN : NO is equal to 3 : 1 : 5. If LO=36, find NO.
NO = ( )
Answer:
NO = 20
Step-by-step explanation:
If the pieces are in the ratio of 3:1:5 and the whole thing is 36, then set up an equation:
3x + 1x + 5x = 36
and solve, see image.
Dan's car depreciates at a rate of 9% per year.
By what percentage has Dan's car depreciated after 4 years?
Give your answer to the nearest percent.
Answer:
about 31%
Step-by-step explanation:
[tex]1 - {.91}^{4} = 1 - .6857 = .3143 = 31\%[/tex]
PLSS HELP ME WITH THIS !! 20 POINTSS
Answer:
Constant of Proportionality is k = y/x
Step-by-step explanation:
k = 0.5/1 = 0.5
Answer:
k = 0.5
Step-by-step explanation:
the constant of proportionality is the slope of the line
using the point (1, 0.5 ) , then
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{0.5}{1}[/tex] = 0.5
In a certain family, the probability of having twins in 0.08 and the probability of having a single baby is 0.92.
What is the probability of a family having two sets of twins?
Answer: SE = √. pA(1 - pA). nA. +. pB(1 - pB). nB. = √. 0.08(0.92). 200. +. 0.344(0.656). 200. = 0.039. (b) The sample sizes of 200 are large enough
Step-by-step explanation:
Eight trucks hold a total of 10 and 1/2 tons of cargo. Half the trucks are
large and the rest are small. Each large truck holds twice as much
cargo as a small truck. How much cargo can two large trucks and
one small truck hold? Write an equation and explain how you
found your answer.
Solving a system of equations we will see that two large trucks and one small truck can hold 2.625 tons
How much cargo can two large trucks and one small truck hold?Let's define the variables:
x = volume that a small truck holds.
y = volume that a large truck holds.
Then we can write the system of equations:
4x + 4y = 10.5 tons
y = 2x
Replacing the second equation into the first one we get.
4x + 4*(2x) = 10.5 tons
12x = 10.5 tons
x = 10.5 tons/12 = 0.875 tons
and:
y = 2x = 2*0.875 tons = 1.75 tons
Then the cargo that two large trucks and one small truck can hold is:
2* 1.75 tons + 0.875 tons = 2.625 tons
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or Three baseball players are playing catch. Kenny is directly south of Ling and directly west of Sidney. Kenny and Sidney are 8 feet apart and Sidney and Ling are 10 feet apart. How far apart are Kenny and Ling?
Answer:18 feet
Step-by-step explanation:
It would be 18 feet because if you add 8 feet from how far him and Sidney are then 10 feet from how far Sidney and Ling are.
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x² + 10 a
y = 4x -10? Select two options.
Oy=x² + 5x + 10
Oy + 5x = x² + 10 + 4x - 10
00=x²-9x
00=x²-9x + 20
One x-value of a solution to the system is 4.
Answer:
0 = x² - 9x + 20
4 is a solution for the system.
Step-by-step explanation:
y + 5x = x² + 10
y = 4x -10
Replacing the value of y in the first equation. This method is called sustitution.
(4x -10) + 5x = x² + 10
4x - 10 + 5x = x² + 10
4x + 5x - 10 = x² + 10 organizing.
9x - 10 = x² + 10 sum of similar terms.
0 = x² + 10 -9x + 10 organizing.
0 = x² - 9x + 10 + 10 organizing.
0 = x² - 9x + 20 sum of similar terms.
What happens if replace 4 in the equation.
0 = 4² - 9(4) + 20
0 = 16 - 36 + 20
0 = -20 + 20
0 = 0 I find that 4 is a solution for the system.
Please help me on this
Answer: Not gonna spoon feed but the ratio is -3
6 * -3 = -18
-18 * -3 = 54
u should be able to get t4, t5 and t6 now by urself
Find the length of BC.
BC is 14
DC and BC are equal
3y + 5 = 5y - 1
-3y
5 = 2y - 1
+1
6 = 2y
÷2
3 = y
y=3
Substitute y=3 into 5y-1, to find BC
5y-1
5x3 - 1
15 - 1
14
BC is 14
Hope this helps!
Answer:
Step-by-step explanation:
Let corner angle at C=α
tanα=12;BC=x;AC=xsecα
By a standard property of right angled triangles,
(xsecα)2=x(x+2)
simplify
x=BC=2tan2α=8.
The sketch is not proportionately drawn.Also
AB=4,AC=45–√
If A'B' is 8 find the length of AB.
If angle B is 40 degrees what is the measurement of B'?
If angle A is 80 degrees what is the measurement of A'?
Using AA what is the measurement of angle C?
The length of AB when A'B' is 8 is 12
The measurement of B' when angle B is 40° is also 40°
The measurement of A' when A is 80° is also 80°
The measurement of C using AB is 60°
What are similar triangles?Similar triangles are triangles that have the same angles and the ratio of their corresponding sides are equal.
Analysis:
ΔCA'B' is similar to ΔCAB.
Which means [tex]\frac{A'B'}{AB}[/tex] = [tex]\frac{CB'}{CB}[/tex] = [tex]\frac{CA'}{CA}[/tex]
A'B' = 8, CA' = 4, CA = 6
[tex]\frac{8}{AB}[/tex] = [tex]\frac{4}{6}[/tex]
4AB = 8 X 6
AB = 48/4 = 12
Line BA nd B'A' are parallel lines joined by two transversals BC and CA.
So, ∠B = ∠B' = 40°( corresponding angles are equal)
Also, ∠A = ∠A' = 80° ( corresponding angles are equal)
∠A + ∠B +∠C = 180( sum of angles in a triangle)
80 + 40 + ∠C = 180
120 + ∠C = 180
∠C = 180 - 120 = 60°
In conclusion,
The length of AB when A'B' is 8 is 12
The measurement of B' when angle B is 40° is also 40°
The measurement of A' when A is 80° is also 80°
The measurement of C using AB is 60°.
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a package of buttery round crackers contains 4 sleeves of crackers each package of crackers cost $2.49 A function, f(x) is written to represent the cost of purchasing x packages of crackers
What is the practical domain for the function f(x)?
.All positive integers
.All whole numbers
.All whole numbers that are multiples of 4
.All real numbers
The practical domain of function f(x) has all positive integers and all whole numbers that are multiples of 4 that is option A or D is correct
What is domain?The domain is "set of all possible inputs value for the function".
According to the question,
A package of buttery round crackers contains 4 sleeves of crackers each
package of crackers cost $2.49. A function f(x) written to represent the cost of purchasing x packages of crackers.
In order to find the practical domain for the function f(x) only if analysis the value of domain function 'x' must positive number so contain 'all positive integers' and since a package of buttery round crackers contains 4 sleeves then domain must contain 'all whole numbers that are multiples of 4'.
Hence, the practical domain of function f(x) has all positive integers and all whole numbers that are multiples of 4.
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