Answer:
18°
Step-by-step explanation:
sin 2x=cos zy
m(2x)=72°
cos(π/2-a)=sin a
cos(π/2-72°)=sin72°
cos18°=sin72°
=>m(zy)=18°
Can someone help me solve these
The whole is 1,000,000 50,000 is what percent of that
Archie builds a pool in his backyard. The pool measures 16 yards long, 6 yards wide and 2 yards deep. How many gallons of water will it take to fill the pool to the brim? (1 cubic yard = 202 gallons).
Answer:
gallons of water = 38784 gallons
Step-by-step explanation:
He builds a pool in his backyard .The pool measures 16 yards long, 6 yards wide and 2 yards deep. The pool is a rectangular prism. The number of gallons it can take to fill the pool can be calculated when we know the volume of the pool. Therefore,
volume of the pool = length × width × height
volume = lwh
l = 16 yards
w = 6 yards
h = 2 yards
volume = 16 × 6 × 2
volume = 192 yards³
1 cubic yards = 202 gallons
192 cubic yards = ? gallons
cross multiply
gallons of water = 192 × 202
gallons of water = 38784 gallons
You run two races.
Let event A= You win the first race.
Let event B= You win the second race.
What does P(BA) represent?
A. The probability that you win the second race given that you win
the first race
B. The probability that you win either the first or the second race
C. The probability that you don't win the second race
D. The probability that you win the first race given that you win the
second race
help
Answer:
A
Step-by-step explanation:
This is because you won the first race and you won the second.
Somebody please help
Answer:
A.
Step-by-step explanation:
The volume is LWH
L = 16
W = 9
H = 12
16 * 9 * 12 = 1728
Is ABC~DEF? If /so, identify the similarity postulate or the theorem that applies, A. similar- AA B. similar-SSS C. similar- SAS D. cannot be determined
Answer: Similar - AA
Just took the quiz, Its Similar AA not sure why just trust me homie
The two triangles are similar triangles by AA similarity theorem (Option A).
What is the Angle-angle Similarity Theorem (AA)?The AA similarity theorem proves that if two triangles have two pairs of angles that are congruent, then they are similar triangles.
The two triangles shown in the figure have two pairs of corresponding angles that are congruent to each other, therefore, they are similar triangles by AA similarity theorem (Option A).
Learn more about AA similarity theorem on:
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Help me I need help!
Answer:
7.D
8.A
Step-by-step explanation:
7.
r=√((0-6)²+(0+8)²)=√(36+64)=√100=10
eq. of circle is (x-6)²+(y+8)²=10²
(x-6)²+(y+8)²=100
8.
CM=1/2CD=1/2×60=30
OM=18
OC=√(30²+18²)=√(900+324)=√(1224)=√(4×306)=√(4×9×34)=2×3√34=6√34
radius r=OC=6√34
OF=r=6√34
ON=15
FN=√((6√34)²-15²)=√(1224-225)=√999=√(9×111)=3√111
Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!
Answer:
it is 6x²+ 9x- 15
Step-by-step explanation:
Evaluate:
a = -3, b = 1, and c= -4
-21-c
Answer:
-17
Step-by-step explanation:
-21-c
Let c = -4
-21 - -4
Subtracting a negative is like adding
-21 +4
-17
Answer:
-17
Step-by-step explanation:
- 21 - c
Put c as -4.
- 21 - (-4)
The negative signs cancel.
- 21 + 4
Add both the terms.
= -17
Roseanne makes 1 1/2 L of lemonade. She pours 1/4 of liter of lemonade into a thermos to take to the park. Her brother drinks 2/5 of the remaining lemonade. How much lemonade does Rosanne'a brother drinks?
The lemonade does Rosanne'a brother drinks is [tex]1\div 2[/tex] liter
The calculation is as follows:The remaining should be
[tex]= (1\ 1\div 2) -(1\div 4) \\\\= 1\ 2\div 4 -1\div 4 \\\\= 1\ 1\div 4 \ liters[/tex]
Since The brother drinks 2/5 of that,
So,
[tex]= (2\div 5)(1\ 1\div 4 L) \\\\= (2\div 5)(5\div 4 L) \\\\= 2\div 4 L \\\\= 1\div 2 L[/tex]
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there are 23 boys and 35 girls on the school track and field team. After q boys and (q+4) girls graduate qt the end of the year, the probability of selecting a boy at random to represent the school for an event becomes 2/5. find the value of q
Answer:
q = 8
Step-by-step explanation:
[tex]\frac{q}{q + q + 4} = \frac{2}{5} \\\frac{q}{2q + 4} = \frac{2}{5} \\\\4q + 8 = 5q\\q = 8[/tex]
The value of q is 8.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
there are 23 boys and 35 girls on the school track and field team.
After q boys and (q+4) girls graduate q the end of the year,
the probability of selecting a boy at random to represent the school for an event becomes 2/5.
now, we get,
q/(q+q+4)=2/5
solving we get,
4q+8 = 5q
i.e. q=8
Hence, the value of q is 8.
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Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 1?
Answer:
Step-by-step explanation:
Distributive property
a(b - c) = ab - ac
3(x-4) = 3*x - 3*4
= 3x - 12
find the area of the shape
Answer:
27 pi
Step-by-step explanation:
First find the area of a circle
A = pi r^2
A = pi ^^2
36 pi
We know this is 3/4 of a circle so multiply the area by 3/4
3/4 * 36 pi
27 pi
According to the image whats the answer? 30 points for brainliest!
PLEASE HURRY
If the Walmart is 15 minutes away from my house why hasn't my dad come back with the milk it has been 14 years??
Answer:
because he left you and your mom and now you are sad because you have no dad also yer dads j e r k
Step-by-step explanation:
Answer:
he is walking 5000000000000000000000000000% slower than a sloth
Step-by-step explanation:
sloths are slow
If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f- g)(x).
O A. x2 + 8
O B. x² - 6
O C. 3x2 - 6
D. 3x2 + 8
Answer:
A
Step-by-step explanation:
(Easy) Are these ratios equivalent?
23 staff members to 1 camper
35 staff members to 2 campers
Answer:
no
Step-by-step explanation:
2 does not go into 35 but one goes into anything
hope this helps :)
Please help will give brainliest
Answer:
4 1/2
Step-by-step explanation:
Multiply 2x2=4 and then put the half next to it
verify the property: a ×( b+c ) = ( a×b ) + ( a×c ) by taking a = 3/5 , b = -2 , c = 10/13
Answer:
This is the distributive property
Step-by-step explanation:
You use the distributive property to allocate a number outside of the parentheses to inside the parentheses.
For this example, they distributed a to both b and c making it a*b + a*c
This will result in the same answer:
3/5(-2 + 10/13) = 3/5*-2 + 3/5*10/13
3/5(-1.23..) = -6/5 + 30/65 (..= approx)
approximately- 0.74 = -0.74
What is the median?
–63–63–70–71–71–91–74–71
Answer: The median of the date you gave would be -71. Hope that helps!
Identify the 7th term of the given geometric sequence. HELP ASAP!!!
6, 15, 37.5, 93.75,...
Answer:
1464.84375
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 6 and r = 15 ÷ 6 = 2.5, thus
[tex]a_{7}[/tex] = 6 × [tex](2.5)^{6}[/tex] = 6 × 244.140625 = 1464.84375
The seventh term of the geometric progression will be 1464.84375
What is a geometric progression?
When there is a constant between the two successive numbers in the series then it is called a geometric series.
The nth term of a geometric sequence is
[tex]a_n =a_1(r)^{n-1}[/tex]
where a₁ is the first term and r is the common ratio
Here a₁ = 6 and r = 15 ÷ 6 = 2.5, thus
[tex]a_7=6\times (2.5)^{6}[/tex] = 6 × 244.140625 = 1464.84375
Therefore the seventh term of the geometric progression will be 1464.84375
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If 4 is a solution to x^2+bx-12=0, then b=?
Answer:
b = -1
Step-by-step explanation:
First plug in 4 for each x:
[tex]x^2+bx-12=0\\(4)^2+b(4)-12=0[/tex]
Then simplify by multiplying out what you can with 4:
[tex](4)^2+b(4)-12=0\\16+4b-12=0[/tex]
After simplify further by combining like terms:
[tex]16+4b-12=0\\4b +4=0[/tex]
Then isolate b on one side by subtracting 4 from each side:
[tex]4b+4=0\\(-4)+4b+4=0+(-4)\\4b=-4[/tex]
Finally isolate b further by dividing each side by 4 to get b alone and find the answer:
[tex]4b=-4\\\frac{4b}{4}=\frac{-4}{4} \\ b=-1[/tex]
Use the graph below to answer the question that follows: what trigonometric function represents the graph?
Options
f(x)=4sin(x-pi/2)
f(x)=-4sin(x-pi/2)
f(x)=4cos(x-pi/2)
f(x)=-4cos(x-pi/2)
Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
Equation of the wave function is a cosine function.
Let the graphed function is, f(x) = -Acos(bx - ∅)
Amplitude of the given function,
A = [tex]\frac{4-(-4)}{2}[/tex] = 4 units
Period = [tex]\frac{2\pi }{b}[/tex] = 2π
b = [tex]\frac{2\pi }{2\pi }[/tex] = 1
Given graph is starting from (0, 0).
Therefore, from the given graph, Phase shift of the cosine curve = ∅ = [tex]\frac{\pi }{2}[/tex]
Therefore, equation of the given cosine function will be,
f(x) = -4cos(x - [tex]\frac{\pi }{2}[/tex])
Option (4) will be the answer.
the weather forecast at the probability being cloudy tomorrow is 30%, the probability of the being rainy is 15%., and the probability being both calling and rate is 14%. What's the probability of it being rainy, you know it will be cloudy?
Cloudy = 0.30
Rain = 0.15
Both = 0.14
Probability of Rain if cloudy:
P(Both)/P(Cloudy) = 0.14/0.30 = 14/30 = 0.4666
Multiply by 100:
0.4666 x 100 = 46.67%
Answer is b. About 46.67%
SOMEONE PLEASE HELP ME ON THIS ASAP. I'LL RATE AS BRAINLIEST. PLS PLS PLS PLS
Answer:
I think the answer is city B
Step-by-step explanation:
Hope this helps
A class of 25 students was asked what their favorite season was. 12 students said
Fall. 18 students said Summer. 10 students said both Fall and Summer. How many
students said only Fall? Draw a Venn Diagram before you answer this!!! *
Answer:
2 students said only fall
Step-by-step explanation:
Given:
Total number of students = 25
Number of students who like fall season (F) = 12
Number of students who like summer season (S) = 18
Number of students who like both fall and summer season [tex]\left ( F\cap S \right )[/tex] = 10
To find:
Number of students who like only fall season
Solution:
A set is a well defined collection of objects. A universal set is the set of which all other sets are subsets. It is denoted by U.
According to the venn diagram,
n(only F) = [tex]=n(F)-n\left ( F\cap S \right )[/tex]
[tex]=12-10=2[/tex]
So, 2 students said only fall.
What else must be true for the triangles to be congruent by the HL theorem?
Answer:
the first one the both must have a right angle for it to be hl theorem
in this activity, you will connect doing business with using the tools of algebra. You've seen a lot of scenarios in which people business use algebra to ensure or monitor their success, including maximizing profit, reaching revenue goals, and calculating the consequences of price increases. Imagine that you're involved in a business venture that could benefit from algebraic expressions and calculations . If you've been involved in such a business , recall what that experience entailed Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor . Also include ways in which the business might operate differently with those tools than without them.
Answer: check explanation for the solution
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
What is the area of a workshop that is 4 yards wide and 5
yards long?
5 yards
4 yards
2
Answer:
20 square yards
Step-by-step explanation:
Area of workshop
= length * width
= 5 * 4
= 20 square yards
What is the measure of angle ABC to the nearest degree? PLEASE HELP
Answer:
a=90 B=80 C=180
Step-by-step explanation: