Answer:
[tex]\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex] or [tex]\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}[/tex]
Step-by-step explanation:
[tex]\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex]
if x+y = -10 and x-y = 2 what is the value of x
Answer:
x = -4
Step-by-step explanation:
The solution to a "sum and difference" system of equations can be found by adding the equations together.
(x +y) +(x -y) = (-10) +(2)
2x = -8 . . . . . . simplify
x = -4 . . . . . . . divide by 2
_____
Additional comment
y = -6, though this question did not ask that value.
Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = – 0.07t2 + 0.007t + 5. How many seconds will it take for the frisbee to hit the ground?
Solving the quadratic equation, it is found that it will take 8.5 seconds for the frisbee to hit the ground.
What is the equation for the frisbee's height?It is given by:
h(t) = -0.07t² + 0.007 + 5.
Which is a quadratic function with coefficients a = -0.07, b = 0.007, c = 5.
It hits the ground when h(t) = 0. Hence, the solution is found as follows.
[tex]\Delta = (0.007)^2 - 4(-0.07)(5) = 1.400049[/tex]
[tex]x_1 = \frac{-0.007 + \sqrt{1.400049}}{2(-0.07)} = -8.4[/tex]
[tex]x_2 = \frac{-0.007 - \sqrt{1.400049}}{2(=0.07)} = 8.5[/tex]
It will take 8.5 seconds for the frisbee to hit the ground.
More can be learned about quadratic equations at https://brainly.com/question/24737967
find the value of x?
Answer:
x = 63 units
Step-by-step explanation:
130 tan 39 = entire L side
130 tan 39 - 130 tan 18 = x = 63
please help me Find m
Answer: 70 degrees
Step-by-step explanation:
Which shows how to determine the volume of the pyramid?
10 cm
8 cm
12 cm
V-3(1268)(10)
OV-2(12)(10)
8
V-=(12(B)(10)
Answer:
V = 1/3(12×8×10)
Step-by-step explanation:
V= 1/3×base area×height
V = 960/3
V = 320cm^3
The volume of the pyramid is,
⇒ V = 320 cm³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Height of pyramid = 10 cm
Length of pyramid = 12 cm
Width of pyramid = 8 cm
Hence, We get;
The volume of the pyramid is,
V= 1/3 × base area × height
V = 1/3 (12×8×10)
V = 960/3
V = 320 cm³
Thus, The volume of the pyramid is,
⇒ V = 320 cm³
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ7
Find the value by using logarithms
25.753
0.5341
Step-by-step explanation:
589292 is the correct answer:-)
.
Fill in the blanks to find the difference in the expressions.
-2x+5
8
A
A x2+
С
X
B x +
11
x +4
X +3
x2 + 7x +
D
[tex]\dfrac{-2x+5}{x+4} - \dfrac{8}{x+3}\\ \\= \dfrac{(-2x+5)(x+3)-8(x+4)}{(x+4)(x+3)}\\\\=\dfrac{-2x^2-6x+5x+15 -8x -32}{x^2+3x+4x+12}\\\\=\dfrac{-2x^2-9x-17}{x^2+7x+12}\\\\\\=\dfrac{-2x^2+(-9)x +(-17)}{x^2+7x+12}\\\\\text{Hence, }~ A=-2,~ B=-9, ~C=-17, ~D=12[/tex]
Help picture below problem 18
Answer:
X⁶
Step-by-step explanation:
x⁹/x³
= x⁹-³
= x⁶ is the answer
Answer:
E. [tex]x^{6}[/tex]
Step-by-step explanation:
To divide two fractions we subtract the power of second expression from the first one:
[tex]x^{(9-3)} = x^{6}[/tex]
On the southeast corner of Millennium Park, there is a garden walk. It is marked off in red in the drawing below. Side C, the hypotenuse of the triangle, shows the row along which flowers will be planted.
If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning. (2 points)
Answer:
150 feet
Step-by-step explanation:
a²+b²=c²
90²+120²=c²
8100+14400=22500
√22500 = 150
c = 150 feet
Please help me, I don't understand this-
Ms. Martin's new truck weighs 2 tons. 2 Which measurement is equivalent to the weight of her truck? F 2.500 pounds H 4,500 pounds G 6,000 pounds J 5,000 pounds
Answer:
i think its J 5,000 pounds
Step-by-step explanation:
HELP ASAP.
39 BRAINLY POINTS PLUS BRAINLY USER
Answer:
1
Step-by-step explanation:
Given:
m = 12 n = 1/4Substitute the values into the expression:
1/2(m - 4) × n
⇒ 1/2(12 - 4) × 1/4
Simplify the expression:
⇒ 1/2(8) × 1/4
⇒ 4 × 1/4
⇒ 4 ÷ 4
⇒ 1 (Option B)
Answer:
D. 1
Step-by-step explanation:
If y varies inversely as x and y=37 when x=33, find y if x=5
Answer: y=6
Explanation:
Please help me with this question
Answer:
x = 110y = 62Step-by-step explanation:
xThe angle where chords cross is the average of the measures of the intercepted arcs. The angle that is the supplement of x° will be the average of interecepted arcs 60° and 80°.
180° -x° = (60° +80°)/2
180 -70 = x . . . . . . . . . . . divide by °, add x-70
x = 110
__
yThe external angle where secants meet is half the difference of the intercepted arcs.
59° = (180° -y°)/2
118 = 180 -y . . . . . . . multiply by 2, divide by °
y = 180 -118 . . . . . add y-118
y = 62
Find the value of x. X+5 4 2x A x = [?] Enter
Answer:
x = 3
Step-by-step explanation:
In [tex]\triangle ABC,\: DE||AC[/tex]
[tex]\implies [/tex]By Basic Proportionality Theorem:
[tex]\frac{BD}{DA}=\frac{BE}{EC} \\ \\ \implies \: \frac{x + 5}{2x} = \frac{4}{3} \\ \\ \implies \: 3(x + 5) = 4(2x)\\ \\ \implies \: 3x +15 = 8x \\ \\ \implies \: 3x - 8x = - 15 \\ \\ \implies \: - 5x = - 15 \\ \\ \implies \: x = \frac{ - 15}{ - 5} \\ \\ \implies \: x = 3[/tex]
Write the number in standard notation. 9 × 104
90,000
904
360
9,000
Answer:
90000
Step-by-step explanation:
because 10^4 = 10,000
then 9 x 10,000 = 90,000
a farmer has 47 eggs.He packs 6 eggs in each box. How many egg boxes does he need to packall the eggs?
We need to divide up 47 eggs into boxes of 6. Therefore, we are doing a division problem.
6 x 7 = 42
42 is as close as we can get to 47 without going over. So, at this point, we need 7 boxes.
BUT - There are 5 eggs left without a box. We cannot have part of a box either. Therefore, we need to add in another box.
7 + 1 = 8
He needs 8 boxes to pack all the eggs.
Hope this helps!
Answ
Step-by-step explanation:
17 boxes 47 divided by six so it is 17 boxes hope it helps:)
Is 5/2 to the right of number 1 on number line?
Answer:
Yes;
Step-by-step explanation:
5/2 = 2 1/2
2 1/2 > 1
Yes, 5/2 is to the right of 1 on a number line.
Hellp me please DDDDDDDDDDD:
Answer:
238 mm
Step-by-step explanation:
11x5 = 55
11x4=44
11x5=55
11x4=44
4x5=20
4x5=20
______(Add all up)
= 238 mm
Hope this helps :)
A shop charges `\$1.95` for a small `3`-ounce soft serve.
What is the cost per ounce of soft serve?
1. Mark practices the piano for 2/3 of an hour, 6 times a week. How many hours does
he practice each week?
Answer:
4 hours
Step-by-step explanation:
2/3*6/1= 12/3
12/3 simplified is 4
what is 10/9 in a fraction
This kinds of fractions called improper fractions
The rule is
p/q is a rational number and p>qWe can turn it into mixed fraction
10/91-1/9The body temperature of adults are normally distributed with a mean of 98.6 f and a standard deviation of 0.71f what temperature represents the 95th percentile ?
Use the drop downs to determine which symbols
would complete the inequality for the domain.
5
ch
-4__(a)___*_(b)__4
(a)
X
-5
5
(b)
The domain of the graph in the form of inequality will be -4 ≤ x < 4.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The domain means all the possible values of x and the range means all the possible values of y.
The domain of the graph will be [-4, 4). Then the domain of the graph in the form of inequality will be -4 ≤ x < 4.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
A circular flower garden has a radius of 5 feet. Emma wants to put mulch in the flower garden. It costs $0.35 per square foot of mulch. How much will Emma spend to put mulch in the flower garden? Round to the nearest cent.
The formula for a ciprofloxacin otic drop
quantity of each ingredient required to is given in the literature as follows10:
make 1500 g of the powder. Ciprofloxacin 1 g
Calcium Carbonate Propylene Glycol 5 parts 50 mL
Magnesium Oxide Glycerin qs ad 1 part 100 mL
Sodium Bicarbonate 4 parts How many grams of ciprofloxacin Bismuth Subcarbonate 3 parts would be required to prepare 200 15-mL
Answer:
I dont know bro, I am here for the free answers.
Which of the following numbers is the smallest?
1/3
3/10
2/5
3/8
Answer:
3/10
Step-by-step explanation:
Taking the decimal values (upto the thousandths place)
1/3 = 0.333/10 = 0.32/5 = 0.43/8 = 0.375Clearly,
0.3 < 0.33 < 0.375 < 0.40.3 is the smallest3/10 is the smallest3/10 is the smallest number among the given options.
Given that are numbers we need to check which is the smallest from this,
To determine which of the given numbers is the smallest, we can compare them by finding a common denominator and then comparing the numerators.
The common denominator for 1/3, 3/10, 2/5, and 3/8 is 120 (the least common multiple of 3, 10, 5, and 8).
Now, let's convert each fraction to have a denominator of 120:
1/3 = 40/120
3/10 = 36/120
2/5 = 48/120
3/8 = 45/120
Comparing the numerators, we can see that 36/120 (3/10) is the smallest.
Therefore, 3/10 is the smallest number among the given options.
Learn more about Comparing numbers click;
https://brainly.com/question/13505153
#SPJ2
Fill in the blanks below with the correct units. (a) Jessica's pet dog has a mass of 6 ? . (b) The soccer field at Jessica's school is 110 ? long. (c) Joe squeezed an orange and got about 60 ? of juice.
Answer:
a. 6 kg.
b. 110 m long.
c. 60 ml of juice.
in 1977, Pistol Pete Maravich led the NBA with 2273 points. In 2006, Kobe Bryant led the NBA with 2832 points. However, there were many differences between basketball in 1977 and basketball in 2006, including the number of teams and possibility of a three-point shot. The mean number of points for the top 110 players in 1977 was 1198 points with a standard deviation of 379 points. The mean nimber of yards for the top 150 players in 2006 was 1123 points with a standard deviation of 433 points. Who had the better performance, Maravich or Bryant? Explain your reasoning.
Using z-scores, it is found that due to the higher z-score, Bryant had the better performance.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.The above bullet point means that higher z-scores mean a better performance.For Maravich, we have that the parameters are [tex]X = 2273, \mu = 1198, \sigma = 379[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2273 - 1198}{379}[/tex]
Z = 2.84.
For Bryant, we have that the parameters are [tex]X = 2832, \mu = 1123, \sigma = 433[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2832 - 1123}{433}[/tex]
Z = 3.95.
Due to the higher z-score, Bryant had the better performance.
More can be learned about z-scores at https://brainly.com/question/24663213
A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability that
a randomly selected balloon would be green or orange?
A. 23/38
B. 13/19
C. 15/38
D. 1/2
Answer:
D 1/2
Step-by-step explanation:
Probability is the ratio of the number of favorable outcomes to the total number of outcomes
number of favorable outcomes = 11+8 = 19
total number of outcomes = 38
The probability that a randomly selected balloon would be green or orange is
19/38 = 1/2
What must be a factor on the polynomial Function F(x) graphed on the coordinate plane below?
X-3
X-1
X+1
X+2
Answer:
x - 1
Step-by-step explanation:
The graph touches the x-axis at x = 1, its factor would be (x - 1)