Answer:
The maximum length of the opposite side of a right triangle equals the length of the hypotenuse.
Step-by-step explanation:
Answer: The maximum possible value of a sine ratio would be 1. This is because the sine of an angle in a right triangle is defined as the ratio of the opposite side to the hypotenuse, and the hypotenuse is the longest side in any right triangle. So, the ratio can never be greater than one.
HOPE THIS HELPS
10=z+6 plsss solve !!!!
Answer:
z=4
Step-by-step explanation:
10=z+6
10-6=z
z=4
Answer:
z = 4
Step-by-step explanation:
10 = z + 6
z = 10 - 6 = 4
I need some more letters to post
find the volume of the prism
Answer:
The volume is: [tex]135m^3[/tex]
Step-by-step explanation:
Given
[tex]h = 5m[/tex] ---- height
[tex]l=9m[/tex] -- length
[tex]w = 6m[/tex] --- width
Required
Determine the volume (V)
The volume of a triangular prism is:
[tex]V = 0.5lwh[/tex]
So, we have:
[tex]V = 0.5 * 5m * 9m * 6m[/tex]
[tex]V = 135m^3[/tex]
Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.14 for π
Answer:
401.92
Step-by-step explanation:
[tex]volume=\pi r^{2} h[/tex]
3.14 x (4x4) x 8 = 401.92
What is the radius of a hemisphere with a volume of 19160 ft', to the nearest tenth
of a foot?
Asap: Write an equation to represent this hanger:
5x + 2 = 17
where x = 3
i hope this may be helpful
5. Which statement is NOT TRUE about the function: y = -3x + 14 a. The Slope = -3 and the y-intercept = 14 b. A solution to this equation is (-1, 11) C. The equation is a Linear function d. The graph of the function passes through (4, 2)
Answer:
B
Step-by-step explanation:
Grumpy Corp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines drug users 96% of the time(a Positive test) and correctly determines non-users 90% of the time(a Negative test). A recent study concluded that 36% of college students use drugs. A potential employee has been tested and the result was Negative for drug use.
Required:
a. Construct ALL necessary probabilities using proper notation(Example: P(D) for a "drug user").
b. Find the Probability of a Negative test, by showing use of the above Probabilities first, and then followed by the proper calculation.
Answer:
Hence, the probability of a Negative test is [tex]P(T^C)=0.5904[/tex].
Step-by-step explanation:
(a)
Let [tex]D=[/tex] Drug user and [tex]T=[/tex] Test positive
Probability of drug users [tex]P(D)=36\%=0.36[/tex]
[tex]P(\frac{T}{D})=96\%=0.96[/tex]
[tex]P(\frac{T^c}{D^c})=90\%=0.90[/tex]
(b)
Find the Probability of a Negative test,
[tex]P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)[/tex]
[tex]\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36[/tex]
[tex]\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36[/tex]
[tex]\Rightarrow P(T^C)=0.576+0.0144[/tex]
[tex]\Rightarrow P(T^C)=0.5904[/tex]
Interest charged when you miss a payment is called _____. A. accrued interest B. late interest C. past due interest D. late payment interest
Answer:
A
Step-by-step explanation:
Answer:
its d , Late payment interest
Step-by-step explanation:
A classroom has a perimeter of 62.25m. What is the absolute error of the perimeter?
0.005m
Step-by-step explanation:Measuring properties of a given entity is always prone to error and hence leads to inaccuracy in the resulting measurement. One of such errors is the absolute error.
Absolute error is the difference between the actual/exact value and measured value.
The classroom has been measured to have a perimeter of 62.25m. This shows that it is accurate to 0.01 of a meter. This means that the actual measurement of the classroom could either be 0.005m more or less than the measured value.
In other words, the actual value of the classroom is
62.25 ± 0.005 m
This difference of 0.005 m gives the absolute error.
Pleaseee helppp!!! (Im looking for the x)
Answer:
[tex]2x + 15 + x = 171 \\ 3x = 171 - 15 \\ 3x = 156 \\ \frac{3x}{3} = \frac{156}{3} \\ x = 52[/tex]
Step-by-step explanation:
i hope this is helpful
Evaluate the following expression when a = 5.
4a2 + a-3
Select the correct answer from each drop-down menu.
40
45
50
55
60
65
70
75 80
85
For this data set, the best measure of center is the
and its value is
In general, categorical data ___but do not___
O A. classify; measure
O B. measure; classify
O C. value; measure
O D. none of the above
Answer:
The answer is A Lma/o
Step-by-step explanation:
How to convert the following amounts to a mixed fraction 150/49
Answer:
[tex]3\frac{3}{49}[/tex]
Step-by-step explanation:
This one is pretty simple. 50 fits into 150 perfectly 3 times. If we take one out of the denominator, we must add one to the numerator after every whole number being taken out of the fraction and put in the ones spot.
Answer:
You have to find how many times 49 can fit into 150 and then that number is the whole and the remaining will be the numerator and 49 will stay as the denominator.
Step-by-step explanation:
A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base. The base needs to be stronger than the sides, so it costs more. The base costs $9 per f t 2 , while the sides only cost $6 per f t 2 . We wish to find the dimensions of the box that minimize the cost of material used.
Answer:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
Step-by-step explanation:
Given
[tex]Volume = 128ft^3[/tex]
[tex]L = 2W[/tex]
[tex]Base\ Cost = \$9/ft^2[/tex]
[tex]Sides\ Cost = \$6/ft^2[/tex]
Required
The dimension that minimizes the cost
The volume is:
[tex]Volume = LWH[/tex]
This gives:
[tex]128 = LWH[/tex]
Substitute [tex]L = 2W[/tex]
[tex]128 = 2W * WH[/tex]
[tex]128 = 2W^2H[/tex]
Make H the subject
[tex]H = \frac{128}{2W^2}[/tex]
[tex]H = \frac{64}{W^2}[/tex]
The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:
[tex]A = LW + 2(WH + LH)[/tex]
The cost is:
[tex]Cost = 9 * LW + 6 * 2(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12H(W + L)[/tex]
Substitute: [tex]H = \frac{64}{W^2}[/tex] and [tex]L = 2W[/tex]
[tex]Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)[/tex]
[tex]Cost =18W^2 + \frac{768}{W^2}*3W[/tex]
[tex]Cost =18W^2 + \frac{2304}{W}[/tex]
To minimize the cost, we differentiate
[tex]C' =2*18W + -1 * 2304W^{-2}[/tex]
Then set to 0
[tex]2*18W + -1 * 2304W^{-2} =0[/tex]
[tex]36W - 2304W^{-2} =0[/tex]
Rewrite as:
[tex]36W = 2304W^{-2}[/tex]
Divide both sides by W
[tex]36 = 2304W^{-3}[/tex]
Rewrite as:
[tex]36 = \frac{2304}{W^3}[/tex]
Solve for [tex]W^3[/tex]
[tex]W^3 = \frac{2304}{36}[/tex]
[tex]W^3 = 64[/tex]
Take cube roots
[tex]W = 4[/tex]
Recall that:
[tex]L = 2W[/tex]
[tex]L = 2 * 4[/tex]
[tex]L = 8[/tex]
[tex]H = \frac{64}{W^2}[/tex]
[tex]H = \frac{64}{4^2}[/tex]
[tex]H = \frac{64}{16}[/tex]
[tex]H = 4[/tex]
Hence, the dimension that minimizes the cost is:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
Four office desks that are 4 1/8 feet long are to be placed together on a wall that is 16 5/8 feet long. Will they fit on the wall?
The Unit Circle
What is cos 180°?
a. 0
b. 1
c. -1
d. 1/2
Please select the best answer from the choices provided
Answer:
C. -1
Step-by-step explanation:
I calculated it logically
Answer:
-1
Step-by-step explanation:
cos = opp/hyp
At 180º
adj = -1
hyp = 1
Cos 180 = -1/1 = -1
A guard in a 20m tall watchtower spots a vehicle at an angle of depression oi 25
How far horizontally from the tower is the vehicle, to one decimal place? (
Answer:
Solution given:
height[p]=20m
angle of depression [a]=25°
base[b]=?
we have
Tan a=p/b
tan 25=20/b
b=20/tan25
b=42.89 or 43
the tower is 43m far from the vehicle .
Help jkdkdodjdjdjjsidjdkdkdjnddijdkdjsidjdndkxjkdodjdkdkdkdk it had to be 20 characters long
Answer:
part 1. -1 1/2
part 2. On letter A
Explanation:
D=0
B=-1
C=-1/2
-1 + -1/2= -1 1/2
Answer:
-1 1/2
Step-by-step explanation:
B is -1
C is -1/2
D is 0
-1 + (-1/2) = -1 1/2
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. 72 ÷ 8 − 2 × ( 3 + 1 ) ( 72 ÷ 8 ) − 2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 )
72 / 8 - 2 x 3 + 1 equals 1
(72 / 8) - 2 x 3 + 1 equals 4
72 / (8 - 2) x 3 + 1 equals 37
72 / (8 - 2) x (3 + 1) equals 48
Following Add-On Contains the content I think your doing:
The expressions are arranged in ascending order will be 72÷8−2×(3 + 1) > (72÷8)−2×3+1 > 72÷(8−2)×3+1 > 72÷(8−2)×(3+1).
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The expressions are given below:
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
Simplify the expression, then we have
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
9−2×4, 9−6+1, (72÷6)×3+1, (72÷6)×4
1, 2, 37, 48
More about the ascending order link is given below.
https://brainly.com/question/320500
#SPJ2
Sarah earns $340 per week and spends 20% of her earnings on transportation. How much does Sarah spend on transportation every week?
Answer:
$68
Step-by-step explanation:
=> 20% 0f 340
=> (20/100) * 340
=> (1/5) * 340
=> (340/5) = 68
Sarah spends $68 dollar on transportation.
Thenks and mark me brainliest :)
15 points please help me solve for x
Answer:
82' is the write answer
and like the answer and follow me
Answer:
[tex]x = 73.74[/tex]°.
Step-by-step explanation:
In order to find the angle measure of [tex]x[/tex], you can use the trigonometric function sine to calculate the value of it. Sine is a trigonometric function used in right triangles to solve for the sides and angles, it states that the sine of an angle is equal to the side opposite to it divided by the hypotenuse. In this case, [tex]sin(x)=\frac{48}{50}[/tex]. If you want to isolate the variable [tex]x[/tex] on one side to calculate its value, take the [tex]sin^{-1}[/tex] or arcsine of both sides. [tex]arcsin(sin(x))=arcsin(\frac{48}{50})[/tex] ⇒ [tex]x = arcsin(\frac{48}{50})[/tex] ⇒ [tex]x[/tex] ≈ 73.74°, so that would be the correct answer.
HELP!! When you solve a
system of equations
What are the three
possible outcomes ???
9514 1404 393
Answer:
no solutionsa finite number of solutionsan infinite number of solutionsStep-by-step explanation:
Your question is very general, including linear and non-linear equations of any number and/or degree. In the general case you're asking about, there will be ...
no solutions -- no values of the variables satisfy all equationsa finite number of solutions -- all equations are satisfied for some finite set of variable valuesan infinite number of solutions -- equations are dependent (or periodic*) so the set of solutions is an infinite set__
For 2 linear equations in 2 unknowns, there will be 0, 1, or infinite solutions.
_____
* Aperiodic equations may also have an infinite number of solutions. 1/sin(x)=0 is an example.
Find the missing side lengths. Leave your answers as radicals in simplest form.
Sep by step explanation pls
Answer:
[tex]a =22[/tex]
[tex]b = 11[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find a and b
Using cosine formula, we have:
[tex]\cos \theta = \frac{Adjacent}{Hypotenuse}[/tex]
So, we have:
[tex]\cos (30) = \frac{11\sqrt 3}{a}[/tex]
Make a the subject
[tex]a = \frac{11\sqrt 3}{\cos (30)}[/tex]
[tex]\cos(30) = \frac{\sqrt 3}{2}[/tex]
So, we have:
[tex]a = \frac{11\sqrt 3}{\frac{\sqrt 3}{2}}[/tex]
Rewrite as:
[tex]a = 11\sqrt 3 \div \frac{\sqrt 3}{2}[/tex]
This gives:
[tex]a = 11\sqrt 3 * \frac{2}{\sqrt 3}[/tex]
[tex]a = 11 * 2[/tex]
[tex]a =22[/tex]
To solve for b, we use Pythagoras theorem
[tex]a^2 = b^2 + (11\sqrt 3)^2[/tex]
[tex]22^2 = b^2 + (11\sqrt 3)^2[/tex]
[tex]484 = b^2 + 363[/tex]
Collect like terms
[tex]b^2 = 484 - 363[/tex]
[tex]b^2 = 121[/tex]
Take positive square roots
[tex]b = \sqrt {121[/tex]
[tex]b = 11[/tex]
PLEASE HELP
Which line is a linear model for the data?
THIS ISNT MY ANSWER
Answer:
The upper left
Step-by-step explanation:
six times a number is equal to the number increased by 15 find the number
Answer:
3
Step-by-step explanation:
(six times a number) is (equal) to (the number increased by 15)
6x = x + 15
6x = x + 15
Subtract x from both sides
5x = 15
Divide both sides by 5
x = 3
Statements True or False 4.086<5.0254.086<5.025 True False 6.37=6.3706.37=6.370 True False 11.716<11.70811.716<11.708 True False 64.28>64.28164.28>64.281 True False 3,756.082<3,756.8023,756.082<3,756.802 True False
Answer:
4.086 < 5.025 true
6.37 = 6.370 true
64.28 > 64.281 false
11.716 < 11.708 false
64.28 > 64.281 false
3,756.082 < 3,756.802 true
Step-by-step explanation:
First, let's define how the symbols work.
a < b means that a is strictly smaller than b
a > b means that a is strictly greater than b
Also, for rounding up or down:
Suppose that we want to round to the second decimal after the decimal point.
Then, we need to look at the third one, if it is 5 or larger, we round up.
if it smaller than 5, we round down.
We need to see if each statement is true or not.
a) 4.086 < 5.025
This is true, the number 5.025 is larger than 4.086 (you only need to see at the units digit) So this statement is true.
b) 6.37 = 6.370
Because the third digit is equal to zero, we can round down the right number to 6.37, then the equality is true.
c) 11.716 < 11.708
11.716 is actually larger than 11.708, so this statement is false
d) 64.28 > 64.281
We have that:
64.28 + 0.001 = 64.281
Then 64.281 is larger than 64.28, so this statement is false.
e) 3,756.082 < 3,756.802
By looking at the numbers after the decimal point, we can see that the right number is larger than the left one, then the statement is true.
what is the next term of geometric sequence -1/7,4/7,-16/7
Answer:
Step-by-step explanation: the answer is 5
Answer:
64/7
Step-by-step explanation:
multiply -16 by -4
What is the quotient?
Answer:
4 x 10^12
Step-by-step explanation:
Just subtracte the power since it is division
8- (-4)=12
it takes 12 minutes and 36 seconds to walk around the city block. How many seconds did it take?
Answer:756
Step-by-step explanation:
Take 12 and multiply it by 60 since that’s how many seconds are in a minute then add 36
Hope this helps