Answer: A. mB = 24.8ᴼ
Step-by-step explanation:
A and B are complementary angles, which means they add to equal 90ᴼ.
To find mB, subtract mA from 90
90 - 65.2 = 24.8
Question 6: What is the probability of drawing a king and then queen from a standard deck of playing cards?
(3 marks)
Answer:
see below
Step-by-step explanation:
There are 52 cards in the deck
4 kings
P(king) = king/total = 4/52 = 1/13
replacement
52 cards , 4 queens
P(queen) = queen/total = 4/52 = 1/13
P(king, replacement, queen) = 1/13 * 1/13 =1/169
There are 52 cards in the deck
4 kings
P(king) = king/total = 4/52 = 1/13
no replacement
51 cards , 4 queens
P(queen) = queen/total = 4/51 =4/51
P(king, no replacement, queen) = 1/13 * 4/51 =4/663
the HCf of 30 and40
Answer:
The HCF of 30 and 40 is 10
Answer:
10
Step-by-step explanation:
Well to find the GCF of HCF which are the same thing we have to make of list of factors of 30 and 40.
Look at the image below
after making the list find the greatest common factor which is 10.
The volume of a cone is 37xcubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
O 3x
O 6x
ОЗлх2
O 9x2
Answer:
3x
Step-by-step explanation:
34x^3=r^2×3,14×X/3
×3 34x^3= r^2×3,14×X/3 ×3
102x^3=r^2×9.42×X
÷9.42×X ÷9.42×X
10.83x^2=r^2
√10.83x^2= √r^2
3x=r
Please answer this question now fast in two minutes
Answer:
In the diagram, planes JMN and KLO are parallel and planes JKN and LMP are also parallel.
Step-by-step explanation:
To be parallel in geometric terms means that two planes are on opposite sides of each other and will never intersect or touch. Knowing this, we can go through the choices one by one to see if those planes are parallel.
LMP and JKL are not parallel because they intersect at point L.
JMN and JKL are not parallel because they intersect at point J.
JKN and LMP are parallel because they never intersect or touch.
JMN and KLO are parallel because they never intersect or touch.
So, planes JMN and KLO are parallel and planes JKN and LMP are also parallel.
make m
the subject of
the formula
r=5m²-n
Answer:
√(r+n)/5=m
Step-by-step explanation:
r=5m²-n
adding n on both sides
r+n=5m²-n+n
r+n/5=m²
taking square root on both sides
√(r+n)/5=m
please help me out friends
Answer:
month 5
Step-by-step explanation:
Perform the indicated operation. 1 3/4 · 7/3? a.3/4 b.41/12 c.121/12 d.23/4
Answer:
[tex]\huge\boxed{b.\ 4\dfrac{1}{12}}[/tex]
Step-by-step explanation:
[tex]1\dfrac{3}{4}\cdot\dfrac{7}{3}[/tex]
convert the mixed number to the improper fraction:
[tex]1\dfrac{3}{4}=\dfrac{1\cdot4+3}{4}=\dfrac{7}{3}[/tex]
multiply:
[tex]=\dfrac{7}{4}\cdot\dfrac{7}{3}=\dfrac{7\cdot7}{3\cdot4}=\dfrac{49}{12}=\dfrac{48+1}{12}=\dfrac{48}{12}+\dfrac{1}{12}=4\dfrac{1}{12}[/tex]
If ∠Q measures 18°, ∠R measures 135°, and q equals 9.5, then which length can be found using the Law of Sines?
Answer:
r
Step-by-step explanation:
Since r is not given, the length we can be find using the Law of Sines using is length r.
The Sine formula or the Law of Sines
q/Sine Q = r/Sine R
q=9.5
r is the unknown
9.5/Sine 18° = r/ Sine 135°
With sine law length of the side opposite to the angle in a triangle can be determined i.e. r = 21.738.
∠Q measures 18°, ∠R measures 135°, and q equals 9.5, then which length can be found using the Law of Sines is to determined.
What is the sine law?The sine formula provides the ratio of the sides and angles of a triangle. The sine rule can be explained using the expression, a/sinα = b/sinβ = c/sinФ. Here a, b, and c are the measures of the sides of the triangle, and α, β, Ф are the angles of the triangle.
Here,
sine law for given numerical,
[tex]q/sinQ = r/sinR[/tex]
Q = 18°, R = 135° and q =9.5
⇒ 9.5/sin18 = r/sin135
30.24 * sin135 = r
r = 21.738
Thus, with sine law, length of the side opposite to the angle in a triangle can be determined i.e. r = 21.738.
Learn more about sine law here:
https://brainly.com/question/17289163
#SPJ5
If the maximum value of f(x) is 20, then what is the maximum value of (2x - 10) if f(x) = -4x^2+
bx + c?
Answer:
The maximum value of (2·x - 10) is 20
Step-by-step explanation:
Given that the maximum value of f(x) = 20
f(x) = -4·x² + bx + c
We are required to find the maximum value of (2·x - 10)
f'(x) = -8·x + b = 0
x = b/8
f''(x) = -8, therefore, f'(x) is the maximum point
20 = -4·x² +8·x² + c
20 = -4·(b/8)² + b×(b/8) + c
20 = -b²/16 + b²/8 + c
20 = b²/16 + c
f(2·x - 10) = -4·(2·x - 10)² + b·(2·x - 10) + c
f(2·x - 10) = b·(2·x - 10) + c - (16·x²-160·x +400
Differentiating to find the maximum gives;
f'(2·x - 10) = d(b·(2·x - 10) + c - (16·x²-160·x +400)/dx = 2·b -32·x +160 = 0
x = (2·b +160)/32 = 0.0625·b +5
At the maximum point, therefore, we have;
b·(2·(0.0625·b +5) - 10) + c - (16·(0.0625·b +5)²-160·(0.0625·b +5) +400
At the max value of f(2·x - 10) = b²/16 + c
Since b²/16 + c = 20, we have the maximum value of (2·x - 10) = 20.
Reduce to simplest form. -5/12 - (-9/3)
Answer:
31/12
Step-by-step explanation:
-5/12 - (-9/3)
Distribute the negative sign to the brackets.
-5/12 + 9/3
Make denominators equal and add.
-5/12 + 36/12
= 31/12
Answer:
31/12
Step-by-step explanation:
Find the least common denominator, which is 12, then combine
You have to add the fractions because two negative signs equals to positive
-5/12 + 36/12
-5+36=31
Therefore your answer is 31/12
Hope this helps please mark brainliest!
It would really help if someone could tell me the answers for those questions
1) 2.4
2) 6.4
3) 7.7
4) 9.9
5) 2.8
Hope it helps <3
Just basic simplification, make 1 of the variable alone on one side
find the length here asap
Answer:
A, 40.16
Step-by-step explanation:
cosθ = adjacent (BC) / hypotenuse (AB)
cos 17° = BC / 42
BC = 40.16
Answer:
[tex]\boxed{BC = 40.16}[/tex]
Step-by-step explanation:
Cos 17 = [tex]\frac{adjacent}{hypotenuse}[/tex]
Where adjacent = BC, hypotenuse = 42
0.959 = [tex]\frac{BC}{42}[/tex]
BC = 0.959 * 42
BC = 40.16
halppppppp meeeaaaaaaaaaaaa
Answer:
The x-intercept is the location on the graph when the output is 0.
f(x) > 0 is intervals of the domain where the graph is above the x-axis.
y-intercept is the location on the graph when the input is 0.
f(x) < 0 is intervals of the domain where the graph is below the x-axis.
Carl has been recording the number of pears on his pear tree each week:
The function representing Carl's pears per week is f(w) = 5w + 2.
What does the 2 represent?
a. The week number when Carl recorded the pears
b. The number of pears at the start
c. The number of pears Carl had in total
d. The number the pears increased by each week Incorrect
Answer:
B
Step-by-step explanation:
The y-intercept (which is 2 in this case) represents the initial value. In this context that means the number of pears at the start.
Look at the proportion. A motorcycle is on sale for $1,800.00. The store is currently offering a 15% discount off the sale price. What is the dollar amount of the discount? A) $15.00 B) $27.00 C) $150.00 D) $270.00
Answer:
D) $270.00
Step-by-step explanation:
15% of 1800 is 270 which is exactly what the dollar amount of the discount would be
Answer:
D.) $270.00
Step-by-step explanation:
I got this by first turning 15% into its decimal form:
[tex]15%[/tex]% [tex]= .15[/tex]
Once I did this I multiplied the decimal form by the price of the motorcycle.
[tex]1,800[/tex] × ·[tex]15[/tex] = [tex]270[/tex]
Can someone help I am struggling with the question on the photo?
Answer:
in the last one 3+4+4×15=67
in the first if we see there are three shapes if we divide 45/3 so the value of each shape is 15
in the second there are two bananas and one shape as we know the value of shape so 23-15=8 as there are two bananas so the value of each banana is 4
in the third there are two clocks and one banana as we know the value of banana so 10-4=6 as there are two clocks so the value of each clock is 3
from above
shape=15 banana=4 and clock =3 pitting in the equation gives us the value of 67
Step-by-step explanation:
i hope this will help you :)
how do you redue 84 if possible
Answer:
The question is incomplete. You can’t reduce 84 unless yo7 want it as a power of numbers. Most likely the question is a fraction or eqaaution
Step-by-step explanation:
Triangle ABC has vertices at A(-1,1), B(-7,1), and C(-3,6).
What is the area of Triangle ABC?
Answer:
I think the answer is b
Step-by-step explanation:
PLEASE ANSWER, HURRRRRYYY!!!
Answer:
D
Step-by-step explanation:
Recall that:
[tex]\displaystyle \cos\theta = \frac{1}{\sec\theta}[/tex]
Since we are given that secθ = -7.3, then by definition:
[tex]\displaystyle \cos\theta = \frac{1}{(-7.3)}\approx -0.14[/tex]
Next, recall that:
[tex]\displaystyle \sin\left (\frac{\pi}{2} - \theta \right) = \cos\theta[/tex]
This is the co-function identity.
And since sine is an odd function:
[tex]\sin u = -\sin (-u)[/tex]
In other words:
[tex]\displaystyle \sin\left (\frac{\pi}{2} - \theta \right) = -\sin\left(\theta - \frac{\pi}{2}\right)= \cos\theta[/tex]
Therefore:
[tex]\displaystyle \sin\left(\theta - \frac{\pi}{2}\right) = -\cos\theta = -(-0.14) = 0.14[/tex]
Hence, our answer is D.
The mean of 5 numbers is 50 and the mean of 4 of this numbers is 45. What is the fifth number
Answer:
the fifth number is 70
Step-by-step explanation:
mean (average) of first 5 numbers =50 , Then sum of this 5 numbers = 50*5 =250.
The mean of 4 numbers = 45 . Sum 4 numbers = 45*4 = 180
the fifth number is 250-180=70
(180 +70)/5=50 which is the mean
A program gives computers to families with schools with middle-aged children. They have a certain number of computers to distribute fairly between several families. How many computers should each family get? 1. One month the program has 8 computers. The families have these numbers of school-aged children: 4,2,6,2,2.
Answer:
[tex]\text{2, 1, 3, 1, 1}[/tex]
Step-by-step explanation:
[tex]\text{There are a total of 8 computers and 16 school-aged children,} \\\text{therefore there must be 2 children per computer.}\\\frac{16}{8}=2 \text{ (As shown)}\\\text{The families each with 4, 2, 6, 2, 2 children should get;}\\\text{2, 1, 3, 1, 1 computers respectively.}[/tex]
The question is in the image below.
The fourth:
The second equation in system 2 is the difference of the equations in system 1. The first equation in system 2 is the first equation in system 1.
Ax + By - (Lx + My) = Ax + By - Lx - My = (A - L)x + (B - M)y
Answer:
The answer is __
because of __
Step-by-step explanation:
Three points of a function are graphed. A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30). Which statement describes the function through the points?
Answer:
The function is a direct variation function with a constant of variation of 1.5.
Step-by-step explanation:
I just took the test :/
Answer:
The function is a direct variation function with a constant of variation of 1.5.
Step-by-step explanation:
Triangle QRS has medians QU, RV, and ST. If the measure of segment RW is 18 meters, what is the length of segment RV?
Answer: RV = 27 meters
Step-by-step explanation: Median is a line which unites a vertice and a midpoint of the opposite side. The point where, in a triangle, the medians intersect is called Centroid. The centroid divides the median in a ratio of 2:1, so Centroid Theorem states that the centroid of the triangle is at 2/3 of a distance from the vertex to the midpoint of the sides.
The attached figure shows the medians and centroid.
RW and WV are components of RV, the median.
If RW is 18 and following the theorem:
RW = [tex]\frac{2}{3}[/tex].RV
RV = [tex]\frac{3}{2}[/tex]. RW
RV = [tex]\frac{3}{2}.18[/tex]
RV = 27
The median RV measures 27 meters.
There are 4562 boys in a school. The number of girls is 689 less than the number of
boys. Find the total strength of the school. Pls answer fast
Answer: 8435
Step-by-step explanation:
No. of girls = 4562 - 689 = 3873
Total strength = 4562 + 3873
= 8435
Answer:
8435
Step-by-step explanation:
Boys= 4562
Girls= 4562-689= 3873
Total= 4562+3873= 8435
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0)
(1,9)
Answer:
y=9x
Step-by-step explanation:
(0,0),(1,9)
when x=0, y=0, means b=0
m is the slope =9
y=9x
Answer:
yes the answer is 9 on any question
Step-by-step explanation:
Which multiplication expression is equal to
Nm
2.1
3 12
Nw
NP
O를
O 를시
를스
를
Answer:
nw to s so it makes it 2.1
Step-by-step explanation:
the answer 5.6
******WHO ANSWERS WILL BE THE BRAINLIEST********
In circle D, which is a radius to the circle?
* FE
AB
DC
GBE
Answer:
D to C
Step-by-step explanation:
The radius is half the diameter or the center point to the edge (circumference)
Answer:
DC
Step-by-step explanation:
SOMEBODY!!! HEELLLLLLP (ALGUIEN POR FAVOR) if you can help me with one question that's fine!
Answer:
1. tan20=y/600
y=218.38ft
2. 8.08 ft
What is the equation of the following line written in slope-intercept form?
(-5, -1)
Oy=3/2x-13/3
Oy=-2/3x-13/3
Oy=2/3x-13/3
Answer:
Option (2)
Step-by-step explanation:
Let the equation of the line is,
y - y' = m(x - x')
where (x', y') is a point lying on the given line.
And m = slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Line given in the graph passes through two points (-5, -1) and (-2, -3).
Slope of the line 'm' = [tex]\frac{-3+1}{-2+5}[/tex]
= [tex]-\frac{2}{3}[/tex]
Therefore, equation of the line passing through(-5, -1) and slope of the line = [tex]-\frac{2}{3}[/tex] will be,
y - (-1) = [tex]-\frac{2}{3}[x-(-5)][/tex]
[tex]y+1=-\frac{2}{3}(x+5)[/tex]
[tex]y=-\frac{2}{3}x-\frac{10}{3}-1[/tex]
[tex]y=-\frac{2}{3}x-\frac{13}{3}[/tex]
Option (2) will be the answer.