Answer:
34
Step-by-step explanation:
Sum of two numbers = 7
1+6
2+5
3+4
34+9=43
A rectangle is inscribed in a circle of radius r. What is the maximum area of the rectangle
Express the trig ratios as fractions in simplest terms.
Answer:
Step-by-step explanation:
SOH CAH TOA
cos K = 36/48 = 3/4
SIN L = 36/48 = 3/4
The trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The triangle JKL is right angled triangle.
In the triangle KL is the opposite side of angle J.
SinL = Opposite/Hypotenuse
CosK = Adjacent/Hypotenuse
Used here, this means ...
sin(L) = KL/JL = 36/60 =6/10=3/5
cos(K) = KJ/KL = 36/60 = 6/10=3/5
sin(L) and cos(K) are equal
Hence, the trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .
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The rear window of Alex's van is shaped like a trapezoid with an upper base
measuring 36 inches, a lower base measuring 48 inches, and a height of 21 inches.
An 18-inch rear window wiper clears a 150° sector of a circle on the rear window, as
shown in the diagram below.
36 in.
21 in.
150 degrees
18 in.
48 in.
1. What is the area, in square inches, of the entire trapezoidal rear window?
Show or explain how you got your answer.
The area, in square inches, of the entire trapezoidal rear window is 882 square inches.
What is the area of the entire trapezoidal rear window?
A trapezoid is a convex quadrilateral with at least on pair of parallel sides. The parallel sides are called bases while the non parallel sides are called legs.
Area of a trapezoid = 0.5 x (sum of the lengths of the parallel sides) x height
Area of a trapezoid = 0.5 x (36 + 48) x 21 = 882
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Which of the following graphs has a zero at (-5)?
math student55 or dino please help
1. since A^2= 36x^2, a=?
2. since b^2= 49, b=?
Answer:
a = ±6x
b = ±7
Step-by-step explanation:
1.
a² = 36x²
a = ±√(36x²)
a = ±6x
2.
b² = 49
b = ±√(49)
b = ±7
Which function has the given properties below? the domain is the set of all real numbers. one x-intercept is (startfraction pi over 2 endfraction, 0 endfraction). the maximum value is 3. the y-intercept is (0, –3). y = –3sin(x) y = –3cos(x) y = 3sin(x) y = 3cos(x)
The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
What is a function?
A function is a rule that relates two variables.
Let us check the x-intercept, y-intercept, and maximum value for each function.
1)y =-3Sin(x)
for x-intercept put y=0
0 = -3Sin(x)
Sin(x) =0
x=0
for y-intercept put x=0
y=-3Sin0
y=0
The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3
Similarly, for y = -3cos(x)
x-intercept =π/2
y-intercept = 3
Maximum value of function = lower limit of the range of 3cos(x) i.e. 3
Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
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Answer:
B. y = –3cos(x)
Step-by-step explanation:
Im extremely sure, have a great day
PLEASE HELP ASAP
Zeke has spent $3.75 on gel pens in the past, and now he plans to buy some new ones. The
new gel pens cost $1.25 each. If Zeke buys 6 new gel pens, how much will he have spent on
gel pens in total?
Answer:
11.25
Step-by-step explanation:
Base on the given we can conclude that:
3.75 + 6 × 1.25
Now solve the following:
3.75 + 6 × 1.25
3.75 + 7.50
=11.25
~lenvy~
Answer:11.25
Step-by-step explanation:
Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
Enter your answer in the grid.
WHAT IS Z?
Answer:
z = 50.2802734375
Step-by-step explanation:
y = 15.5
y is 512 times x
z is 50.25 more than x
15.5/512 = 0.0302734375
x = 0.0302734375
0.0302734375 + 50.25 = 50.2802734375
z = 50.2802734375
Eight times x is less than or equal to 29
Translate the sentence into an inequality
[tex]8x \leqslant 29[/tex]
Answer:
8x ≤ 29
Step-by-step explanation:
The reason why is because, 8 times 'x' also means 8 multiplied by x.
The words less than or equal to mean ≤, this is because the less than sign (<) denotes that the product of 8 and 'x' is below 29 and the line underneath the less than sign (<) means that it is equal to.
what is the slope of the line containing the point( -9,2) and (3,14)
Answer:
the slop is 1
Step-by-step explanation:
hop that help
grade 6 math 1. Mr. Carlos bought a T-shirt for ₱ 254.95. Round this off to the nearest peso.
Answer:
255
Step-by-step explanation:
254.95
.95 is closest to 255.
254.95...255.
Do we, as a society, rely on technology too much?
no. the word technology spans every invention ever created. we don't.
Answer:
Yes, We as a society rely too much on technology because it is the new thing that everyone wants or needs. Technology can buy your groceries and food with a single click.
Step-by-step explanation:
the lent of an alligator last year was 32 inches and 38 inches this year what is the percent change of the alligator length?
Answer:
18.75
Step-by-step explanation:
$3.36 for 16 ounces
$3.60 for 20 ounces
$4.08 for 24 ounces
$5.44 for 32 ounces
Answer:
.1825 per ounce
Step-by-step explanation:
find the per ounce for each equation, then find the average per ounces from the 4 equations
use the distributive property to rewrite the expression 6(10+n)=
Answer:
60 + 6n
Step-by-step explanation:
Distribute 6 to both terms:
6 * 10 is 60
6 * n is 6n
Both total are 60 + 6n
Hey there!
6(10 + n)
= 6(10 + 1n)
DISTRIBUTE 6 WITHIN the PARENTHESES
= 6(10) + 6(1n)
= 60 + 6n
= 6n + 60
Therefore, your answer is: 6n + 60
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the
Height?
Please, asap. If two people answer, I will give one of you a brainlest and ask I will ask another question afterward.
Answer:
the answer is the number 23
WILL GIVE BRAINLIEST
pls if you can pls include step by step explanation
Answer:
The 4th one. Math class grade decreases if the number of days absence increases.
Step-by-step explanation:
With more days absent, lower math grade is shown.
The greenhouse pictured below can be modeled as a rectangular prism with a half-cylinder on top. The rectangular prism is 20 feet wide, 12 feet high, and 45 feet long. The half-cylinder has a diameter of 20 feet.
To the nearest cubic foot, what is the volume of the greenhouse?
The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³
The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³
Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³
The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³
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50 POINTS 50 POINTS please help me with these 5 questions attached pictures
Step-by-step explanation:
the first graph
0=|x+2| f(0)=|0+2|
|x+2|=0 f(0)=|2|
x+2=0 f(0)=2
x=-2
Answer:
First graph X=-2
Combine the like terms to create an equivalent expression -3k-(-8)+2}−3k−(−8)+2
Answer:
Step-by-step explanation:
Here 8 and 10 are the like terms (both are constants)
-3k -(-8) + 2 = -3k + 8 +2
= -3k + 10
find the sum, plss help thanks!
Answers:
5.) [tex]\displaystyle \pm{8\sqrt{3}}[/tex]
4.) [tex]\displaystyle 3\sqrt[5]{3}[/tex]
3.) [tex]\displaystyle \pm{8\sqrt{5}}[/tex]
2.) [tex]\displaystyle 3\sqrt[3]{3}[/tex]
1.) [tex]\displaystyle \pm{3\sqrt{2}}[/tex]
Step-by-step explanations:
5.) [tex]\displaystyle \sqrt{27} + \sqrt{75} \hookrightarrow \pm{3\sqrt{3}} + \pm{5\sqrt{3}} \\ \\ \boxed{\pm{8\sqrt{3}}}[/tex]
4.) [tex]\displaystyle \sqrt[5]{3} + \sqrt[5]{96} \hookrightarrow \sqrt[5]{3} + 2\sqrt[5]{3} \\ \\ \boxed{3\sqrt[5]{3}}[/tex]
3.) [tex]\displaystyle \sqrt{45} + \sqrt{125} \hookrightarrow \pm{3\sqrt{5}} + \pm{5\sqrt{5}} \\ \\ \boxed{\pm{8\sqrt{5}}}[/tex]
2.) [tex]\displaystyle \sqrt[3]{3} + \sqrt[3]{24} \hookrightarrow \sqrt[3]{3} + 2\sqrt[3]{3} \\ \\ \boxed{3\sqrt[3]{3}}[/tex]
1.) [tex]\displaystyle \pm{\sqrt{2}} + \sqrt{8} \hookrightarrow \pm{\sqrt{2}} + \pm{2\sqrt{2}} \\ \\ \boxed{\pm{3\sqrt{2}}}[/tex]
I am joyous to assist you at any time.
on a test given in math class 60 students arrive in take out their supplies. Of those students, 23 bring pens and 36 bring pencils. Only three students a ride with me neither. How many brought both a pen and a pencil
I need help finding the area of a triangle!
Here is a picture i have to find the area of triangle ABC
Answer: B
Step-by-step explanation:
Six coins are tossed simultaneously what is the probability of getting exactly 4 heads
The probability of getting exactly 4 heads is 0.23.
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Let p represents the probability of getting head in a toss of a fair coin, so
[tex]\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}[/tex]
Let X denote the random variable representing the number of heads in 6 tosses of a coin.
The probability of getting r sixes in n tosses of a fair is given by,
Probability of getting 4 heads :
[tex]\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23[/tex]
Hence, the probability of getting exactly 4 heads is 0.23.
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Can anyone solve this correctly?
Answer:
30 cm²
Step-by-step explanation:
The shaded area is the difference between the area of the rectangle and the area of the triangle.
The area of the rectangle is ...
A = LW = (12 cm)(4 cm) = 48 cm²
The area of the triangle is ...
A = 1/2bh = 1/2(9 cm)(4 cm) = 18 cm²
__
The shaded area is the difference ...
rectangle area - triangle area = 48 cm² -18 cm² = 30 cm²
The area of the shaded region is 30 square centimeters.
Answer:
ANSWER30cm²Step-by-step explanation:
A(rectangle) - A(triangle)
L×W - ½×B×H
12×4 - ½×(9)×(4)
48 - 2×(9)
48 - 18
= 30cm²
-5(2x - 3) = 15 what is this
Answer:
x = 0
Divide both sides by the numeric factor on the left side, then solve.
Answer:
x=0
Step-by-step explanation:
1. Solve
-5(2x-3)=15
-10x+15=15
-10x+15-15=15-15
-10x=0
-10x/-10=0/-10
x=0
2. Check
-5(2x0-3)=15
-5(0-3)=15
-5x-3=15
15=15
3. Answer
x=0
Jameela spins the following spinner 36 times.
A spinner with 4 equal sections labeled 1 through 4.
How many times should she expect it to land on 3?
Enter your answer as a number, like this: 42
PLEASE HELP ME IM NOT GOOD AT MATH
Using the binomial distribution, it is found that she should expect it to land on 3 9 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem:
The spinner is equally as likely to land on any of the four sections, hence p = 1/4 = 0.25.There will be 36 trials, hence n = 36.Then, the expected value is given by:
E(X) = np = 36 x 0.25 = 9.
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Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 o his
entire purchase at checkout, so the tickets would cost him $215 before tax,What was the original
price of each ticket?
Answer:
$60 per ticket
Step-by-step explanation:
$215 is what it costs after the discount, so add the amount taken off, back on.
215+25
240
Then, divide by 4 to find the cost of each individual ticket.
240/4
60
What is the value of the expression shown?
3
(1)
(1/3)³ = 1³ / 3³ = 1/27
1/27
kgfgkjhgbkjyhgbjtg
Find the total surface area of the cube.
2.2 cm
Answer:
The formula for surface area of a rectangular prism or cube is:
SA = 2 (LW+LH+WH)
So, we do, 2 (2×2+2×2+2×2)
So, the answer is 2×12 or 24 cm²