Answer: When x=2 and z = 1, then the value of y =4.
Step-by-step explanation:
Given: y varies directly as x and z i.e. [tex]y\ \alpha \ xz[/tex]
[tex]y=k(xz)[/tex] (i) , where k is the proportionality constant.
Put Y=40 ,x =5 and z = 4, then we get
[tex]40=k(5\times4)\\\\\Rightarrow\ k=\dfrac{40}{20}\\\\\Rightarrow\ k=2[/tex]
Required equation: [tex]y=2(xz)[/tex] [Put value of k in (i)]
Now put x=2 and z = 1, then we get
[tex]y=2(2\times1)=2(2)=4\\\\\Rightarrow\ y=4[/tex]
Hence, when x=2 and z = 1, then the value of y =4.
Helppp thank you!!!!!
Answer:
90π sq cm
Step-by-step explanation:
2πrh = 2π(5)(9) = 90π sq cm
How to do this question plz answer my question plz
Answer:
£22.40
Step-by-step explanation:
60% of 12 is 7.2 (you can also write it as 7.20) so you times that by 2 to get 14.4 (you can also write it as 14.40) and [tex]\frac{1}{3}[/tex] of 24 is 8, so you add that to the 14.4 and you get 22.4 (also writen as 22.4) hope this helps!
Helpppp pleaseee!!! Thank you
Please help!!
can you explain how to do it cause my teacher didnt show us.
math question- If the spinner below is spun 500 times, then how many times could you expect to spin a D
thank you for you trying or helping!!
Answer:
500×4 =2400 I think would help u
Theresa volunteers at a food shelf. Today she is filling bags of oranges. When she started, there were 213 oranges. After filling x bags with 3 oranges each, there were fewer than 51 oranges left. How many bags of oranges did Theresa fill? Part c
Answer:
Step-by-step explanation:
So we know that there are 213 oranges and Theresa fills each bag with 3 oranges, so we can represent each bag as 3x. She keeps filling until she reaches 51 oranges.
First. let's write this as an equation, She is starting with 213 oranges and filling x bags with 3 oranges to the point she has less than 51 oranges.
213 - 3x < 51
Now add 3x to both sides,
213 - 3x + 3x < 51 + 3x
213 < 51 + 3x
Now we subtract 51 from both sides,
213 - 51 < 51 - 51 + 3x
162 < 3x
Now we divide both sides by 3,
162/3 < 3x/3
We find the answer,
54 < x
x > 54 bags
The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place. According to the fundamental theorem of algebra, which of the following statements is correct? A. The quadratic function has no real zeros and two complex zeros. B. The quadratic function has one distinct real zero and one distinct complex zero. C. The quadratic function has two distinct real zeros and one distinct complex zero. D. The quadratic function has two distinct real zeros.
Answer: D. The quadratic function has two distinct real zeros.
There are no complex roots as a quadratic's roots are maxed out at 2. The fundamental theorem of algebra says that if you have an nth degree polynomial, then the max number of real roots is n.
This quadratic's roots are distinct because the two x intercepts are in different places. Each x intercept is a root.
Rewrite the linear equation in general form: y+6= -5/2(x+4)
Answer:
5x+2y = -32Step-by-step explanation:
[tex]The \:standard \: form \:of \: a \:linear \: equation \: is \: Ax+By=C.\\\\Multiply \:both \:sides \:by \:2\\\\2(y+6)=2(\frac{-5}{2}(x+4)) \\\\Simplify\\\\2y+12=-5x-20\\2y+5x=-20-12\\\\2y+5x=-32\\\\Rewrite\:in \:Ax+By+C\:form\\\\= 5x+2y=-32[/tex]
Find the value of x. Round to the nearest tenth.
15.9
12.4
12.8
16.3
Answer:
x = 15.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 28 = 14/x
x cos 28 = 14
x = 14 / cos 28
x=15.85598
Rounding to the nearest tenth
x = 15.9
Simplify.
-4a(3a - 6)
First change the -6 to plus a negative 6.
Then distribute the -4a through the parentheses.
So we have -4a(3a) + -4a(-6).
Remember that -4a(3a) is -12a² and -4a(-6) is 24a.
So the answer is -12a² + 24a.
Answer:
-12a^2 +24a
Step-by-step explanation:
-4a(3a - 6)
Distribute
-4a*3a -4a * -6
-12a^2 +24a
how many are 9 raised to 2 ???
Answer:
[tex]\boxed{81}[/tex]
Step-by-step explanation:
9 raised to 2 is
=> [tex]9^2[/tex]
=> 9 * 9
=> 81
Can someone help me solve parts (a) and (c) please? Thank you!
a) 4x +6
Add up all the sides to calculate perimeter
Answer:
a) 6x + 6
b) 15 x 24
c) see explanation
Step-by-step explanation:
a) 2x + x + 3 + 2x + x + 3 = 6x + 6
b) 6x + 6 = 78
6x = 72
x = 12
2(12) = 24
(12) + 3 = 15
15 x 24
c) 2x(x + 3) = 2x² + 6x
2(12)² + 6(12) = 288 + 72 = 360
15 x 24 is also 360
Envision a base-5 numbering system. Write the rules for the system, and give six 3-digit examples in base-5 with their equivalent decimal and binary values.
Answer:
See Explanation Section
Step-by-step explanation:
Given
A base 5 numbering system: Envision
Some of the rules are as follows:
For a base 5 system, the highest individual digit is 4: Meaning that the 1234, 343, 110 are valid digits while 1235, 78, 55 are invalid digitsThe place values of this system are in place of 5s: i.e. ......5°, 5¹, 5², 5³, 5⁴......3 digit examples
1
Base 5: 100
Base 10: 25 (See calculation below)
[tex]1 * 5^2 + 0 * 5^1 + 0 * 5^0 = 1 * 25 + 0 + 0 = 25[/tex]
Base 2: 11001 (See calculation below)
[tex]25 / 2 = 12\ R\ 1[/tex]
[tex]12 / 2 = 6\ R\ 0[/tex]
[tex]6 / 2 = 3\ R\ 0[/tex]
[tex]3 / 2 = 1\ R\ 1[/tex]
[tex]1 / 2 = 0\ R\ 1[/tex]
Writing the remainder from bottom: 11001
Using the same steps as used in (1) above
2.
Base 5: 211
Base 10: 56
Base 2: 111000
3.
Base 5: 441
Base 10: 121
Base 2: 1111001
4.
Base 5: 230
Base 10: 65
Base 2: 1000001
5.
Base 5: 342
Base 10: 97
Base 2: 1100001
6.
Base 5: 141
Base 10: 46
Base 2: 101110
Graph a rectangle on the coordinate plane with an area of 250 ft^2. Pretend 1 unit=10 feet.
Answer:
turn the 10 to 5 and divide 250 by 2 which will give you your l and w subract 2 from your l and add 2 to your your w
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the area is to be 250 ft^2, one possible set of dimensions would be
25 ft by 10 ft.
If 1 unit on the coordinate plane represents 10 feet, then the dimensions of the drawing would be 2.5 units by 1 unit.
What is the sign of -xy? Will give the brainlest to who ever answers it
Answer:
positive
Step-by-step explanation:
X is positive since it is to the right of zero
Y is negative since it is to the left of zero
-xy
- ( +) ( -)
negative times positive times negative
negative times negative
positive
Please help with geometry proofs.
Answer:
That is correct good jiob
Step-by-step explanation:
What is 12.5% of 72
Answer:
[tex]\boxed{9}[/tex]
Step-by-step explanation:
[tex]\sf of \ refers \ to \ multiplication.[/tex]
[tex]12.5\% \times 72[/tex]
[tex]\frac{12.5}{100} \times 72[/tex]
[tex]\sf Multiply.[/tex]
[tex]\frac{900}{100} =9[/tex]
A tent is in the form of a right circular cylinder and cone. The radius of the cone and cylinder is 4 meters. The height of the cylinder and cone are 4.5 meters and 3 meters respectively. Find the outer surface area of the tent. (Assume π = 22 /7)
Answer:
176m²
Step-by-step explanation:
When we are asked to find the outer surface area of a geometric shape, it means to find the Lateral or Curved Surface Area of the shape. We are given two shapes above.
Step 1
Find the Outer surface area of the cone
Outer / Lateral surface area of a cone =
πrl
Where l = √r² + h²
r = 4 m
h = 3m
Outer surface area = 22/7 ×√4² + 3²
= 22/7 × √16 + 9
= 22/7 × √25
= 22/7 × 5
= 62.83185m²
Step 2
Find the outer surface area of a cylinder
= 2πrh
π = 22/7
r = 4m
h = 4.5
π = 22/7
Outer surface area of a cylinder = 2 × 22/7 × 4 × 4.5
= 113.09734m²
Step 3
The Outer Surface Area of the Tent = Outer Surface Area of the cone + Outer Surface Area of the cylinder
= 62.83185m² + 113.09734m²
= 175.92919m²
Approximately ≈ 176m²
Therefore, the outer surface area of the tent = 176m²
hat is the solution of the system of equations?
y = 3x – 4
−3y = −9x + 12
If 3 cats catch 3 mice in 3 minutes, how long will it take 100 cats to catch 100 mice?
Answer:
100 minutes
Step-by-step explanation:
It takes each of the 3 cats about 1 minute to catch one mouse. If the same goes for the 100 cats, it will take them 100 minutes to catch 100 mice.
Hope that helps.
Answer:
3 min
Step-by-step explanation:
These are all independent actions.
If you put 1 cat in a room with 1 mouse, it will take 3 min to catch the mouse.
If you put 2 cats in a room with 2 mice, they will act independently and it will take 3 min for each one to catch a mouse.
If you put 3 cats in a room with 3 mice, they will act independently and it will take 3 min for each one to catch a mouse.
If you put 100 cats in a room with 100 mice, they will act independently and it will take 3 min for each one to catch a mouse.
Each cat will finish at the same time — 3 min.
There are 10 students on the basketball team. The coach selects 3 of them to go to the basketball clinic. In how many ways can she choose 3 of the 10 students?
[tex]_{10}C_3=\dfrac{10!}{3!7!}=\dfrac{8\cdot9\cdot10}{2\cdot 3}=120[/tex]
Question :-
There are 10 students on the basketball team. The coach selects 3 of them to go to the basketball clinic. In how many ways can she choose 3 of the 10 students?Answer :-
The coach can choose 3 of the 10 students in 120 ways.[tex] \rule{200pt}{3pt}[/tex]
Combinations refers to the number of ways of selecting from a set when the order is not important. The number of combinations of n objects taken r at a time is given by [tex]\sf C(n, r) = \dfrac{n!}{(n - r)!r!}, n \geqslant r[/tex].
Solution :-
As per the provided information in the given question, we have been given that the number of combinations of 10 students taken 3 at a time. We have been asked to calculate the ways that she can choose 3 of the 10 students.
To calculate the ways that she can choose 3 of the 10 students, we will apply the formula below :-
[tex] \qquad \bigstar \: \: \: \boxed{ \sf{ \: \: C(n, r) = \dfrac{n!}{(n - r)!r!} \: \: }}[/tex]
Substitute the given values into the above formula and solve for C:
[tex]\sf:\implies{ C(n, r) = \dfrac{n!}{(n - r)!r!}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{10!}{(10 - 3)!3!}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{10!}{7!3!}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{10 \cdot 9 \cdot 8 \cdot \cancel{7!}}{ \cancel{7!}3!}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{10 \cdot 9 \cdot 8}{3 \cdot 2}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{720}{6}}[/tex]
[tex]\sf:\implies \bold{ C(10, 3) = 120 \: ways}[/tex]
Therefore :-
The coach can choose 3 of the 10 students in 120 ways.[tex]\\[/tex]
Learn more about combinations at https://brainly.com/question/11955073
Have a great day! <33
The number of patients treated at Dr. Jason's dentist office each day was recorded for seven days: 3, 8, 11, 22, 17, 5, 4. Using the given data, find the mean, median, and mode for this sample. A. mean: 10, median: 8, mode: none B. mean: none, median: 8, mode: 10 C. mean: 8, median: 10, mode: none D. mean: 14, median: 10, mode: 8
Answer: A. mean: 10, median: 8, mode: none
Step-by-step explanation:
Given : The number of patients treated at Dr. Jason's dentist office each day was recorded for seven days: 3, 8, 11, 22, 17, 5, 4.
First we arrange it order.
3, 4, 5, 8, 11, 17, 22
Mean = (Sum of observations) ÷ (Number of observations)
Number of observations = 7
Sum of observations = 3+4+5+8+11+17+22 =70
Mean = 70 ÷7 = 10
Median = Middle-most value
= 8
Mode = Most repeatted value
= none
Hence, the mean, median, and mode for this sample = A. mean: 10, median: 8, mode: none
Write rhe set of decimals in order from least to greatest. A) 9.3,3.09,3.9,3.011
Answer:
The digits arranged in order from least to largest is 3.011, 3.09, 3.9, 9.3
Step-by-step explanation:
The arrangement of decimals in order from smallest to largest can be done by taking note of the digit in the unit portion, the tenths, hundredths and thousandths.
The numbers are;
9.3
3.09
3.9
3.011
The largest number is the 9.3
Of the three numbers with 3 as unit, the lowest hundredths is 0.011, therefore, we have;
Therefore, the least (lowest) number = 3.011
The next is the 3.09 as 0.09 is larger than 0.011
Then the second number is 3.9
The digits arranged in order from least to largest is then 3.011, 3.09, 3.9, 9.3.
90 POINTS! HELP ASAP! Using one of the figures below, explain a strategy for calculating the area of the irregular polygon.
Answer:
area of polygon = 88 sq. units
Step-by-step explanation:
lets make it simple, short and accurate.
area of polygon = total area - total area of triangles
total area = 11 * 12 = 132
triangle 1 = 1/2 * 5 * 5 = 12.5
triangle 2 = 1/2 * 3 * 6 = 9
triangle 3 = 1/2 * 3 * 8 = 12
triangle 4 = 1/2 * 3 * 7 = 10.5
total area of triangle = 12.5 + 9 + 12 + 10.5 = 44
area of polygon = 132 - 44 = 88 sq. units
Answer:
The area of the irregular polygon:
88 units²
Step-by-step explanation:
The irregular polygon is insert in a rectangle
The strategy is:
1 - calculate the rectangle total area
2- calculate the area of each right triangle
3.- substracte the total area of the 4 right triangles from the area of the rectángule
then:
1.-
Ar = 12*11 = 132 units²
Ar = rectangle area
2.-
At₁ = (5*5)/2 = 25/2 = 12.5 units²
At₂ = (6*3)/2 = 18/2 = 9 units²
At₃ = (7*3)/2 = 21/2 = 10.5 units²
At₄ = (8*3)/2 = 24/2 = 12 units²
At total = 12.5 + 9 + 10.5 + 12 = 44 units²
At = right triangle areas
3.-
Ap = 132 - 44 = 88 units²
Find the measure of each side indicated. Round to the nearest tenth.
A) 19.8
C) 24.9
B) 27.2
D) 25.3
Answer:
D. 25.3
Step-by-step explanation:
tan∅ = opposite over adjacent
Step 1: Write equation
tan66.5° = x/11
Step 2: Multiply both sides by 11
11tan66.5° = x
Step 3: Evaluate
x = 25.2983
x ≈ 25.3
Answer:
[tex]\huge\boxed{x = 25.3}[/tex]
Step-by-step explanation:
Tan θ = opposite / adjacent
Where θ = 66.5 , opposite = x and adjacent = 11
Tan 66.5 = x / 11
2.3 * 11 = x
25.3 = x
OR
x = 25.3
Calculate YZ if WY = 25, XY = 23, and VZ = 35
Answer:
WY= 25
XY= 23
VZ=36
so,
WY/XY = YZ/VZ
25/23 = YZ/25 (then do cross multiply)
25×25 = 23 × YZ
625= 23 × YZ
625/23= YZ
27,17= YZ
#i'm indonesian
#hope it helps.
Answer:
[tex]\huge \boxed{13.04}[/tex]
Step-by-step explanation:
The triangles are congruent, we can use ratios to solve.
WY/XY = (WY+YZ)/VZ
Let the length of YZ be x.
25/23 = (25+x)/35
Cross multiply.
23(25+x) = 25 × 35
575 + 23x = 875
Subtract 575 from both sides.
575 + 23x - 575 = 875 - 575
23x = 300
Divide both sides by 23.
(23x)/23 = 300/23
x = 13.0434782609...
Please answer this question now
Answer:
x² + (y - 2)² = 144
Step-by-step explanation:
Standard equation of a circle is given by,
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle and 'r' is the radius.
If the center of the circle is (0, -2) and radius 'r' = 12 units
Equation of the circle will be,
(x - 0)² + (y + 2)² = (12)²
x² + (y - 2)² = 144
Therefore, equation of the circle will be,
x² + (y - 2)² = 144
I am unable to find the answer to this pleas help me
Answer:
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] of 600 is 150
hope this helps
plz mark as brainliest!!!!!!
Scarlett made a scaled copy of the following quadrilateral. She used a scale factor greater than 1. What could be the length of the side that corresponds with angle AD on the scaled copy of the quadrilateral? Choose 2 answers.
Answer:
Step-by-step explanation:
First of all AD is 9 units long. Anything less than or equal to 9 is not an answer because the scale factor is greater than 1. That means that anything over 9 will work.
So the answer must be 12 or 15 from those answers given.
Answer:
Answer
Step-by-step explanation:
The answer is 12 AND 15
D and E
Write the expression 12-2 in simplest form.
Answer:
convert into a whole number 6
You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current position. Your friend walks 245 yards due west from your position and takes a bearing on the cabin of N 22.6°
e. How far are you from the cabin?
Answer:
589 yards
Step-by-step explanation:
This is a question that requires the use of trigonometric functions.
The trigonometric function to be used here is the tangent function.
tan θ = Opposite side/ Adjacent side
In the question, we are told
Your friend walks 245 yards due west from your position = Opposite side
Your friend's takes a bearing on the cabin of N 22.6° = θ
Your distance from the cabin = Adjacent side
Hence,
tan 22.6 ° = 245/ Adjacent side
Cross Multiply
Adjacent side = 245/ tan 22.6°
Adjacent side = 588.57469726 yards.
Therefore, your distance from the cabin approximately to the nearest yard(whole number) = 589 yards
