Answer:
-0.8, -8/10
Step-by-step explanation:
The first figure is dilated to form the second figure.
Which statement is true?
The scale factor is 0.4.
The scale factor is 0.9.
The scale factor is 2.1.
The scale factor is 2.5.
Answer:
The scale factor is 2.5
Step-by-step explanation:
took k-12 test
Out of 18 people in a room, 2 have red hair. What is the probability that a person picked at random from the room does NOT have red hair?
Give an explanation plz:)
Answer :
Total number of people in the room = 18Number of people with red hair = 2Number of people not with red hair = 18 - 2 = 16Probability of picking a person who doesn't have red hair = [tex]\sf\dfrac{Number\:of\:favourable\:outcomes}{Total\:outcomes}[/tex]Probability = 16/18
Reduce the fraction with 2
Probability = 8/9
Answer:
[tex]\implies\boxed{\red{\sf P( not \ having\ red\ hair)=\dfrac{ 8}{9}}}[/tex]
Step-by-step explanation:
Given :-
There are 18 people in the room .Two of them have Red hair.And we need to find the probability that a person picked at random from the room does not have red hair . So for that firstly let us find how many people do not have red hair.
According to Question :-
[tex]\implies n_{(red)}+ n_{(not\ red)}= 18 \\\\\implies 2 + n_{(not\ red)}= 18 \\\\\implies n_{(not\ red)}= 18 -2 =\boxed{\red{16}}[/tex]
Hence the probability is :-
[tex]\implies P( not \ having\ red\ hair)=\dfrac{ n_{(favourable\ outcomes)}}{n_{(possible\ outcomes)}} \\\\\implies P( not \ having\ red\ hair)=\dfrac{ 16}{18} \\\\\implies\boxed{P( not \ having\ red\ hair)=\dfrac{ 8}{9}}[/tex]
Hence the required probability is 8/9 .
Make sure your answer is in degrees. You should be able to find this without a calculator.
sin-1(sin 17°) = [ ? ]°
[tex]sin^{-1} (sin17^{0} )[/tex] = [tex]17^{0}[/tex]
What Is Sin of Sin Inverse of x?The inverse sine function (also called arcsine) is the inverse of sine function. Since sine of an angle (sine function) is equal to ratio of opposite side and hypotenuse, thus sine inverse of same ratio will give the measure of the angle.
sin ([tex]sin^{-1}x[/tex]) = x, whenever x ∈ [-1, 1] and
sin ([tex]sin^{-1}x[/tex]) is NOT defined whenever x ∉ [-1, 1].
Given
[tex]sin^{-1} (sin17^{0} )[/tex]
Cancel out [tex]sin^{-1}[/tex] and sin
[tex]sin^{-1} (sin17^{0} )[/tex] = [tex]17^{0}[/tex]
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help pls, i don’t get it
Herb drew an equilateral triangle one side of the triangle is 5 inches long the other side of the triangle what is 5 inches long how long was The third side of the triangle herb drew explain your reasoning
Answer:
5 in.
Step-by-step explanation:
An equilateral triangle has 3 equal sides.
So third side is 5 inches long.
Also willing to give brainliest on this too!! please help, asap !! (theres another part)
(05.02) Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Answer:
150 ft^2
Step-by-step explanation:
13 × 10 = 130 ft
2 × 10 = 20/2 = 10
10 × 2 = 20 ft
130 + 20 = 150 ft^2
PLEASE HELP ME ON THIS QUESTION I DONT GET IT
Which of the following is not a property of a parallelogram?
1. Diagonals bisect each other
2. Consecutive angles are supplementary
3. Opposite sides are congruent
4.Opposite angles are congruent
5. Consecutive angles are complementary
Thank you so much for helping me!
Which expression is used to find the probability of 4 even numbers being rolled on 20 successive rolls of a six-sided die?
Answer:
15/36 (41.667%)
Step-by-step explanation:
find the value of X to the nearest tenth:
Answer:
13.0
Step-by-step explanation:
sin(65°) × 14.3 would give u 12.9 then u round it to the 13
solve the right triangle. round answer to the tenth.
Answer:
By using the pythagorean property such that GJ^2+HJ^2 = GH^2
GJ = √(GH^2-HJ^2)
GJ √(11881-8281)
GJ = √ 3600
GJ = 60.00 (ANS)
Hope it helps
Please Help
Evaluate the function for the given value of x.
y = 3^x; x = 2
Options:
1. 6
2. 9
3. 5
4. 1
Answer:
9
Step-by-step explanation:
3² = 3 x 3 = 9
If using the method of completing the square to solve the quadratic equation x^2+11x-38=0 which number would have to be added to "complete the square"?
Answer:
121/4
Step-by-step explanation:
To complete the square, we have to work with the coefficient of x
We have to divide the coefficient of x by 2, square it and add it to both sides
So we divide 11 by 2; which is 11/2; then square it
we have this as 121/4
This number is what we are going to have added
Answer:
You need to add [tex]\dfrac{121}4[/tex]Step-by-step explanation:
[tex]x^2+11x-38=0\\\\x^2+2\cdot\frac{11}2x-38=0\\\\\underline{x^2+2\cdot x\cdot\frac{11}2+\bold{\big(\frac{11}2\big)^2}}-\big(\frac{11}2\big)^2-38=0\qquad\qquad\qquad\{\big(\frac{11}2\big)^2=\frac{121}4\}\\\\ \big(x+\frac{11}2\big)^2-\frac{121}4-\frac{152}4=0\\\\ \big(x+\frac{11}2\big)^2-\frac{273}4=0\\\\ \big(x+\frac{11}2\big)^2=\frac{273}4[/tex]
[tex]x+\frac{11}2=\pm\frac{\sqrt{365}}2 \\\\x=\frac{-11\pm\sqrt{365}}2[/tex]
help will give brainliest if correct
Answer: 32
Step-by-step explanation: the big number is 64 and the smallest number is 32. 64-32=32
Find the values of m and n
Answer:
34
Step-by-step explanation:
all sides of a triangle add up to 180
HELPPPP PLEASE HELP ME WITH BASIC MATH I REALLY APPRECIATE IT ((WILL MARK AS BRAINLIEST))
Answer:
3) 522
4) 468
Step-by-step explanation:
hello!
3) in the question, it says the cross section is a square, and the area of PQRS is 81.
for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)
with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.
both squares : 81+81=162
both 10 by 9 sides: 90+90=180
both 10 by 9 sides (top and bottom): 90+90=180
total surface area=162+180+180=522
4) for this problem, we can see that the triangle is a right triangle.
to solve the area of the triangle, we can do (9*12)/2=108/2=54.
there are two sides with triangles, so we double 54 (54*2=108)
9 by 10 side: 90
10 by 12 side: 120
now for the last slide, theres no information on the length. the formula for the diagonal is
a^2+b^2=c^2
which is
9^2+12^2=81+144=255=15^2
with this, the area of the rectangular side gives us 10*15 which is 150.
adding it together, we get
108+90+120+150=468.
hope this helps!
Consider the triangle.
Which shows the order of the angles from smallest to
largest?
А
22
12
B
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B
16
с
Answer:
It's the second answer down : Angle B, A and C
Step-by-step explanation:
The sequence from the smallest to the largest is angle B, angle A, angle C .
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given AB= 22 units
BC=16 units
AC=12 units
The property of Triangle says, in a triangle, angle opposite to the greater side have greater angle.
That is angle opposite to the shorter side have shorter angle.
Therefore, we have
Therefore,
angle opposite to side AC is angle B,
angle opposite to side BC is angle A,
angle opposite to side AB is angle C,
Therefore, the sequence from the smallest to the largest is angle B, angle A, angle C .
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Ali has $ 345.50 in his piggy bank. Ahmed has half as many, how many does Ahmed have?
Answer:
$172.75 is the amount Ahmed has
Find the volume of the rectangular pyramid
Thank you!!
Answer:
72
Step-by-step explanation:
what would be the value of y? help
-112/3 x (-4 1/5) =?
Answer:
sorry Wala po akong answer ehhh sorry
please help i don’t get this lol
Answer:
sorry i dont know the answer
Step-by-step explanation:
Find the surface area of the composite figure.
SA = [ ? ] cm^2
Answer:
644
Step-by-step explanation:
SA=[2×(5×20 + 5×6 + 20×6)] +
[2×(4×12 + 4×6 + 12×6)] -
[ 2× 12×6]
= [2×(250)]+[2×(144)] - [144]
= 500+288-144
= 644 cm²
Practice 4b
In the diagram, PQRS is a rectangular sloping surface, PQTU is a rectangle on horizontal ground and RI and
SU are vertical lines. PQ = SR=UT = 45 cm, QR = PS = 32 cm and angle RQT= 38º.
Calculate
PR,
(b) RT, and
(c) angle RPT
Answer:
(a) PR = 55.2 cm
(b) RT = 19.7 cm
(c) <RPT = [tex]20.8^{o}[/tex]
Step-by-step explanation:
(a) to determine the value of PR, apply the Pythagoras theorem to PQR.
PQ = 45, and SP = QR = 32. So that;
[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]/PR/^{2}[/tex] = [tex]45^{2}[/tex] + [tex]32^{2}[/tex]
= 2025 + 1024
= 3049
PR = [tex]\sqrt{3049}[/tex]
= 55.218
PR = 55.2 cm
(b) To determine RT, apply the appropriate trigonometric function to QRT.
Let RT be represented by x, so that;
Sin [tex]38^{o}[/tex] = [tex]\frac{x}{32}[/tex]
x = 32 * Sin [tex]38^{o}[/tex]
= 32 * 0.6157
x = 19.7024
RT = 19.7 cm
(c) To determine <RPT, let the angle be represented by θ.
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{RT}{PR}[/tex]
Sin θ = [tex]\frac{19.7024}{55.218}[/tex]
= 0.3568
θ = [tex]Sin^{-1}[/tex] 0.35568
= [tex]20.84^{o}[/tex]
Thus, <RPT = [tex]20.8^{o}[/tex]
A worker earns a 3% increase in her annual salary for each of 5 years. They plan to continue working in their position for an additional n years. If they continue to earn a 3% increase in their annual salary, what statement could describes the expression that can be used to calculate the total percent increase in their annual salary from the first year to the last year
Answer:
Given that a worker earns a 3% increase in her annual salary for each of 5 years, and they plan to continue working in their position for an additional N years, if they continue to earn a 3% increase in their annual salary, to determine what statement could describe the expression that can be used to calculate the total percent increase in their annual salary from the first year to the last year the following calculation should be performed:
1 + 0.03 (interest rate) ^ N (number of years) = final interest rate
1.03 ^ N = Final interest rate
Thus, for example, if it were invested for 5 years, the equation would operate as follows:
1.03 ^ 5 = X
1.16 = X
The total percent increase in their annual salary from the first year to the last year is [tex](1.03)^n[/tex].
What is Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is given that the annual salary of the worker increases at a rate of 3%. therefore, the salary of the worker increases compounded at a rate of 3% annually. Therefore, the salary of the worker after n number of years can be written as,
[tex]A = P(1+\dfrac{r}{100})^n[/tex]
where A is the final salary of the worker, P is the initial salary of the worker, r is the rate at which the salary is increasing, and n is the number of years.
Substituting the values in the formula,
[tex]A = P(1+\dfrac{3}{100})^n\\\\A = P(1.03)^n[/tex]
Hence, the total percent increase in their annual salary from the first year to the last year is [tex](1.03)^n[/tex].
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2 1/4 divided by 3 1/2
Answer:
9/4 ÷ 7/2
9/4 × 2/7
9/14
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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex] \boxed{ \frac{9}{14} }[/tex]
[tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]
[tex]2 \frac{1}{4} \div 3 \frac{1}{2} [/tex][tex] \dfrac{9}{4} \div \dfrac{7}{2} [/tex][tex] \dfrac{9}{4} \times \dfrac{2}{7} [/tex][tex] \dfrac{9}{2 \times 7} [/tex][tex] \dfrac{9}{14} [/tex]142- 132= 14+13 pls do this question for me
Answer:
37
Step-by-step explanation:
You subtract 142-132 then add 14+13 and 14+13=27 & 142-132=10
Answer:
37 :)
Step-by-step explanation:
Well, the first step you do is you do 142-132 which is (10). The Next step is to do 14+13 which is (27). Now you have 10 and 27 which you now add to get you.. (37)!
Hope this helps! ^^
M multiplied by 4 is greater than 12
How do I solve it
Answer:
M > 3
Step-by-step explanation:
4M > 12
M > 3
Answer:
um... you can have M as 4. 4 x 4 =16
soccer ball inflation:
How many pumps will it take to fill the large soccer ball with a circumference of 71 inches? Recall that the amount of air in one pump was about 11 cubic inches.
must show all work and justify work
Answer:
549 pumps
Step-by-step explanation:
We'll begin by calculating the radius of the larger ball. This can be obtained as follow:
Circumference (C) = 71
Pi (π) = 3.14
Radius (r) =?
C = 2πr
71 = 2 × 3.14 × r
71 = 6.28 × r
Divide both side by 6.28
r = 71 / 6.28
r = 11.3 in
Next, we shall determine the volume of the larger ball.
Since a ball is spherical in shape, we shall use the formula for calculating the volume of a sphere to obtain the volume of the ball. This can be obtained as follow:
Pi (π) = 3.14
Radius (r) = 11.3 in
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 11.3³
V = 4/3 × 3.14 × 1442.897
V = 6041 in³
Finally, we shall determine the number of pumps will it take to fill the large soccer ball. This can be obtained as follow:
11 in³ = 1 pump
Therefore,
6041 in³ = 6041 in³ × 1 pump / 11 in³
6041 in³ = 549 pumps
Thus, it will take approximately 549 pumps of air to fill the large soccer ball.
Select the correct answer from each drop-down menu. Javier purchased a digital camera for $384. The value of the camera depreciates by 25% every year. This situation represents . The rate of growth or decay, r, is equal to . So the value of the camera each year is times the value in the previous year. It will take years for the value of the camera to reach $162.
Answer:
it will take 3 yrs for the value of camera to reach $162.
Step-by-step explanation:
Pd = P(1-R/100)^T
162 = 384(1-25/100)^T
162/384 = (3/4)^T
27/64 = (3/4)^T
(3/4)^3 = (3/4)^T
T = 3
Answer:
this represents: exopnential decay, the rate of growth or decay is equal to: 0.25, value of the camera each year is: 0.75, it will take 3 years.
Step-by-step explanation: