Given the triangle below, what is the length
of the hypotenuse?
4 cm
5 cm
Answer:
6.4 cm
Step-by-step explanation:
i think you'd use pythagoras theorem if you don't know any of the angles . a^2 + b^2 = c^2 . so 4^2 + 5^2 = square root 41 ,, = 6.403124237 cm
i apologise if it is incorrect ^^
Answer:
Sq root of 41cm
Step-by-step explanation:
took the test
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
tan
Step-by-step explanation:
take 19 degree as reference angle
using tan rule
tan 19=opposite/adjacent
0.34=14/x
x=14/0.34
x=41.17
x=41.2
What is the magnitude of -3 +4i?
Answer:
we have
-3+4i
let magnitude be |z|
|z|=[tex] \sqrt{( - 3) {}^{2} + 4 {}^{2} } [/tex]
|z|=5 unit
Answer:
The magnitude of -3 +4i is 5
Step-by-step explanation:
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51. Assume monthly gasoline bill amounts are normally distributed. The probability that his bill will be less than $50 a month or more than $150 for a single month is:
Answer:
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51.
This means that [tex]\mu = 125.32, \sigma = 49.51[/tex]
Less than 50:
p-value of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 125.32}{49.51}[/tex]
[tex]Z = -1.52[/tex]
[tex]Z = -1.52[/tex] has a p-value of 0.0643
More than 150
1 subtracted by the p-value of Z when X = 150. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 125.32}{49.51}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915
1 - 0.6915 = 0.3085
The probability that his bill will be less than $50 a month or more than $150 for a single month is:
0.0643 + 0.3085 = 0.3728
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
in a class of 24 students, how many different 3 person teams for a group project can the teacher make?
Answer:
The teacher can make 8 different 3 person teams
Step-by-step explanation:
Since there is a total of 24 students and the teacher wants to make as many 3 person groups as he/she can you would just do 24 divided by 3 which would equal 8 different teams of 3 people. So the teacher can make 8 different groups of 3 people
A rectangular room is 11 feet by 14 feet. The ceilings are 9 feet high. If a gallon of paint covers 250 square feet. How many gallons of paint are needed to paint the room?
Answer:
3 gallons or 3.032
Step-by-step explanation:
find the total surface area (758)
divide by 250 or subtract 250 till it is under that number
The table below shows the number of students in four schools with grade
point averages in various ranges. The grade point averages of the students in
which school represent a U-shaped distribution?
School A School B School C School D
Greater than 1.5 but less than 2.0 22 15 82 19
Greater than 2.0 but less than 2.5 39 43 46 57
Greater than 2.5 but less than 3.0 67 98 26
81
Greater than 3.0 but less than 3.5 41 45 59 50
Greater than 3.5 but less than 4.0 27 12 78 17
A. School B
O
B. School C
C. School D
Ο Ο
D. School A
Answer:
b
Step-by-step explanation:
Step-by-step explanation:
school c so B would be correct
Graph the equation y=-4/3x + 2
Answer:
plz if you knew if you new it plz tell me
In survey of 300 randomly selected adults at Target, 62% stated that Tide was their favorite laundry detergent. Based on this survey, predict the number of bottles of Tide the store will sell if they have 800 bottles on the shelf for sale.
Answer:
they would sell 496 bottles
Step-by-step explanation:
if %1 of 800 is 8, then pultiply that by 62, since 62% said they liked tide
Rationalize the denominator of the expression 2 - √ 3 / √ 6
Step-by-step explanation:
[tex] \to \dfrac{2 - \sqrt{3} }{ \sqrt{6} } [/tex]
Conjugate of √a is √a. So, conjugate of √6 is √6. Multiplying √6 with both numerator and denominator.[tex] \to \dfrac{2 - \sqrt{3} }{ \sqrt{6} } \times \dfrac{ \sqrt{6} }{ \sqrt{6} } [/tex]
[tex] \to \dfrac{ \sqrt{6}( 2 - \sqrt{3} )}{ {(\sqrt{6})}^{2} } [/tex]
[tex] \to \dfrac{ 2 \sqrt{6} - \sqrt{18} }{ 6 } [/tex]
[tex] \to \dfrac{ 2 \sqrt{6} - 3 \sqrt{2} }{ 6 } [/tex]
[tex] \to \dfrac{ \sqrt{6}}{3} - \dfrac{ \sqrt{2} }{ 2 } [/tex]
Hence, rationalised!can someone please help I will do anything
Answer:
678.24 cubic centimeters
Step-by-step explanation:
Write exponential equation for geometric sequence where t(1)=140 and t(2)=98
Step-by-step explanation:
common ratio r = 98/140
first term a = 140
geometric sequence formula is an = ar^(n-1)
an = 98^(n-1)
where n is the number of terms in the sequence
Which binomial is a factor of 3x^2 + 2x − 5 ?
3x-1
3x-5
x-1
x-5
Answer:
3x-1
Step-by-step explanation:
3x^2+2x-5=3x-1 x1-25
What is the arc measure of major arc ABC in degrees?
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Answer:
249°
Step-by-step explanation:
Arc ABC = Arc AB + Arc BC
= 180° +69°
Arc ABC = 249°
Red Blue Yellow Green What is the probability of a player spinning the color blue and then rolling a 4?
A: 1/4
B: 1/24
C: 1/6
D: 1/16
Answer:
(1/4)×4=1/16
Step-by-step explanation:
Blue is 1 out of the 4 colours, it rolls for 4 times
Which of the following are true statements about a 30-60-90 triangle?
Lan
Answer:
C and F
Step-by-step explanation:
Answer:
A, F
Step-by-step explanation:
ratio of sides in a 30-60-90 triangle is 1 : [tex]\sqrt{3}[/tex] : 2
It Takes Mike 18 minutes to finish reading 4 pages of a book. How long does it take him to finisn reading 30 pages?
Answer:
135
Step-by-step explanation:
First, divide.
18 ÷ 4 = 4.5
Then, multiply.
4.5 × 30 = 135
Have a great day!
which of these is incorrect
Answer:
b
Step-by-step explanation:
< less than
> greater than
= equal to
1,372 is less than 3,496 true
1,372 is greater than 3,496 false
2,583 is less than 4,194 true
3,496 is greater than 1,372 true
[tex]8 {}^{x + 2} = 4 {}^{2x + 3} [/tex]
Choose a method you prefer to solve for a system of linear equations.
2x + 4y = -4
2x-y=6
Answer:
Elimination
x = 2
y = -2
Step-by-step explanation:
Elimination
2x + 4y = -4
2x - y = 6
Subtract the second equation from the first
5y = -10
Divide both sides by 5
y = -2
---------------------
Substitute for y = -2 in the second equation
2x - -2 = 6
2x + 2 = 6
subtract 2 from both sides
2x = 4
Divide both sides by 2
x = 2
can someone help me.?!
[tex]{\boxed{\mathcal{\red{h\:=\:9.5}}}}[/tex] ✅
Step-by-step explanation:-[tex]h + \frac{1}{2} = 10 \\ ⇢ h + 0.5 = 10 \\ ⇢ h \: = 10 - 0.5 \\ ⇢ h = 9.5[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
If 2x + 5 = 82, then 12x = ?
A 5
B
10
C 15
D 20
Answer:
2x= 38.5
Step-by-step explanation:
I'm not sure where u got 12x but 2 x = 38.5:
2x + 5 =82
subtract 5 for 82
2x = 77
77 divided by 2 is 38.5
x = 38.5
hope this helps :)
give the formula in finding the surface area of the cube
Answer:
A=6a²
Step-by-step explanation:
Lowercase a is the length of one side.
Matthew has 5 1/4 bags of fertilizer to spread around his yard. Each bag of fertilizer will cover 115.4 ft 2. How many square feet will Matthew be able to cover if he uses all of the fertilizer?
Answer:
605.85 (ft 2)
Step-by-step explanation:
5 1/4 * 115.4 = 605.85 (ft 2)
A dilation has center at the origin. Which of the following is the image of the point P(1.- for a scale
factor of
A
D: (P) = P(x3)
B
D}(P) = P',
C
D:(P) = P1C-
D
D}(P) = PG-)
Answer:
C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]
Step-by-step explanation:
[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]
[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]
The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis two points A and B are shown. The point A is on ordered pair 2, 1, and the point B is on ordered pair negative 1, 1. A straight line joins the points A and B. If the area of the rectangle to be drawn is 18 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (1 point) C(−1, −2), D(2, −2) C(−1, −8), D(2, −8) C(−1, −5), D(2, −5) C(−1, −6), D(2, −6)
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Answer:
3. C(−1, −5), D(2, −5)
Step-by-step explanation:
The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...
D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)
C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)
The two points required to make a rectangle with an area of 18 square units are ...
C(-1, -5), D(2, -5)
_____
The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.
NEED HELP DUE IN 6 MINUTES!!!!
Answer:
120
Step-by-step explanation:
volume of triangular prism = area of base times length
the base is a triangle and the area of a triangle can be calculated by using this formula
[tex]a=\frac{bh}{2}[/tex]
where b = base length and h = height
Dimensions of base
base length = 8cm and height = 3cm
Thus,
[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\[/tex]
The length of the triangular prism is 10cm
Thus volume = 10 * 12 = 120
f : x → ½x - 3, what is the value of 'x' when f(x) = 11?
Answer:
x=28
Step-by-step explanation:
1/2x - 3 = 11
Add 3 on both sides
1/2x = 14
Multiply 2 on both sides x=28
Answer:
For example, if f (x) and g (x) are inverses of each other, then we can ... Consider another case where a function f is given by f = {(7, 3), (8, –5), (–2, 11), (–6, 4)}. This function is one-to-one because none of its y - values appear more than once.
Step-by-step explanation:
Please help!!!!!!!!!!!!
Answer: 990 ways
Step-by-step explanation:
For the first chicken, there are 11 slots it could be, or 11. For the next chicken, there are 10 available, or 10. Same thing for the third chicken, with 9. Thus, simply do 11*10*9 to get 990.
Factor the following expression.
10.25 + 513 – 14.12 – 7
A. (5.33-7)(2x2 + 1)
B. (5.04 + 7)(2.5 - 1)
C. (5.3 + 7)(2x2 - 1)
D. (5x4 - 7)(2x + 1)
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem