Answer:
[tex] \purple { \boxed{x = 25 \times \sin \: 39 \degree}}[/tex]
Step-by-step explanation:
[tex] \sin \: 39 \degree = \frac{x}{25} \\ 25 \times \sin \: 39 \degree = x \\ \huge \red{ \boxed{x = 25 \times \sin \: 39 \degree}}[/tex]
The sum of the three numbers is 180. The first number is 10 more than the mean of the three numbers and the second number is 4 less than the mean. What is the third number?
Answer:
The third number (c) is 54.
The other ones are 70 and 56.
Step-by-step explanation:
We have 3 numbers, let's call them a, b and c.
We know that the sum of the three numbers is 180, thus:
[tex]a+b+c=180[/tex]
We also know that the first number is 10 more than the mean of the three numbers (Note: the mean is the sum of the numbers divided by the number of numbers). Thus:
[tex]a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30[/tex]
Finally the second number is 4 less than the mean:
[tex]b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12[/tex]
Now we have our set of equations and we can proceed to solve them:
[tex]a+b+c=180\\2a=b+c+30\\2b=a+c-12[/tex]
Solving for a in our first equation we have: [tex]a=180-b-c[/tex] and substituting this in our second equation we have:
[tex]2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c[/tex]
Now taking this last result into our first equation we have:
[tex]a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70[/tex]
Now we are going to solve for b in our second equation and substitute this in our third equation: [tex]b= 180-a-c[/tex]
[tex]2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c[/tex]
But we know that a =70, so we can substitute it in our last line:
[tex]124=a+c\\124=70+c\\54=c[/tex]
Now we just need to find b and we can use our first original equation to do this:
[tex]a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56[/tex]
Let a be a rational number and b be an irrational number. Is a + b rational or irrational?
Answer:
irrational
Step-by-step explanation:
because an irrational number goes on forever so no matter what number is added to it it will always be irrational.
Answer:
Rational
Step-by-step explanation:
Find the area of the composite figure.
a.) 364 sq ft
b.) 796 sq ft
c.) 800 sq ft
d.) 980 sq ft
Answer:
B. 796 sq ft
Step-by-step explanation:
All of these shapes are rectangles.
The formula for the area of a triangle is length x width.
Dining Room
26 x 14 = 364
Bedroom
14 x 8 = 112
Enclosed Porch
20 x 16 = 320
Then you add all of the products.
364 + 112 = 476
476 + 320 = 796
This is the last one!!!
Answer:
B
Step-by-step explanation:
the mean goes up more than the median
What is the solution to
2x-y=1
Зу + 3 = 6x
Using system of equations
Answer:
infinitely many solutions
Step-by-step explanation:
Reduce the second equation by dividing all three terms by 3: y + 1 = 2x. Then compare this result to the first equation 2x - y = 1. Noe that these two equations are identical. Thus, the two lines coincide. There are "infinitely many solutions."
Complete the equation to show the relationship between the number of buses, x, and the number of people that can be transported, y. At this rate, how many people can be transported on 40 buses?
Answer:
[tex]y = 40\cdot k[/tex]
Step-by-step explanation:
Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:
[tex]y \propto x[/tex]
[tex]y = k \cdot x[/tex]
Where [tex]k[/tex] is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:
[tex]y = 40\cdot k[/tex]
Answer:
The first answer is ''y=45 x''
1800 people for the second one
I need help immediately with middle school
Answer:
5*7=35 square units
Step-by-step explanation:
area of parrelogram =B×h
plzz mark me brainliest
hello i attached a picture of a simple trigonometry question please help <3
Side CD has a length of 11.67
You and two friends go to eat pizza there are two deals 10% off of 1 pizza or 30% off of 3 pizzas. Do you want to each pay separately and get 10% off of your bill or do you want to spl it the bill 3 wa
Answer:
Step-by-step explanation:
Assuming the price of 1 pizza is $x. Total number of pizzas is 3.
Considering the first deal,
10% off your pizza is 10/100 × x = 0.1x. The amount that you will pay is x - 0.1x = 0.9x
The cost of the remaining two pizzas is 2 × x = 2x
The total amount to be paid is
2x + 0.9x = $2.9x
Considering the second deal, 30% off the bill would be
30/100 × 3x = 0.9x
The amount to be paid is
3x - 0.9x = $2.1x
Therefore, I prefer the second deal
A cookie fatory puts 1/4 of a barrel of flour into each batch of cookies.how much flour will the factory use for 5/6 batches
Answer:
3 1/3 batches
Step-by-step explanation:
you can divide 1/4 and 5/6 to find how many in each batch.
Find the volume of a right circular cone that has a height of 9.6m and a base with a diameter of 2.9m. Round your answer to the nearest tenth of a cubic meter.
Answer:
[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]
If we convert the height to meters like this:
[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]
And we want to find the volume of the cone and is given by:
[tex] V = \pi r^2 h[/tex]
And replacing we got:
[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]
Step-by-step explanation:
For this case we have a right circular cone with a height of 9.6cm and a base with a diameter of 2.9m. We can find the radius like this:
[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]
If we convert the height to meters like this:
[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]
And we want to find the volume of the cone and is given by:
[tex] V = \pi r^2 h[/tex]
And replacing we got:
[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]
Can you please help me with this question please please help me
Answer:
i think the answer is [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \geq \neq \sqrt{x} x^{2} \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \leq x_{123} \\\int\limits^a_b {x} \, dx[/tex]
Step-by-step explanation:
[tex]x^{2} \int\limits^a_b {x} \, dx \sqrt{x} \sqrt[n]{x} \frac{x}{y} \alpha x_{123}[/tex]
Another quadratic formula and the discriminant problem that I am stuck on. the answer is {2, 1/2}
Answer:
See explanation
Step-by-step explanation:
[tex]2b^2-5b+2=0[/tex]
[tex]b=\dfrac{5\pm\sqrt{25-16}}{4}=\dfrac{5\pm3}{4}=\dfrac{8}{4}, \dfrac{2}{4}=2,1/2[/tex]
Hope this helps!
Divide. Write the quotient in lowest terms. 4\dfrac{2}{3} \div 7 =4 3 2 ÷7=4, start fraction, 2, divided by, 3, end fraction, divided by, 7, equals
Answer:
[tex]\dfrac{2}{3}[/tex]
Step-by-step explanation:
Given the quotient: [tex]4\dfrac{2}{3} \div 7[/tex]
Step 1: Write [tex]4\dfrac{2}{3}[/tex] in improper fraction.
[tex]4\dfrac{2}{3}=\dfrac{14}{3}[/tex]
Therefore:
[tex]4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7[/tex]
Step 2: Change the division sign to multiplication by taking the reciprocal of 7
[tex]\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
i did it in khan academy
A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are
in the box plot shown. How many cars were going between 40 and 48 miles per hour?
Answer:
25 cars
Step-by-step explanation:
The number of cars were going between 40 and 48 miles per hour is 25. Therefore, option C is the correct answer.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
From the given box plot, we have
Minimum value = 37
Maximum value = 69
First quartile = 40
Third quartile = 55
Mean = 47
The distance between Q1 and the median is 25%.
The number of cars between 40 and 48 miles per hour is therefore 25% of the total.
= 100 × 25%
= 25 cars
Therefore, option C is the correct answer.
Learn more about the box plot here:
https://brainly.com/question/1523909.
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25POINTS!!!
In ΔFGH, h = 7.1 cm, f = 6.7 cm and ∠G=103°. Find the length of g, to the nearest 10th of a centimeter.
Answer:
10.8 cm
Step-by-step explanation:
Using cosine law
g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)
g² = 116.7018433
g = 10.80286274
Answer:
10.8
Step-by-step explanation:
deltamath
The table below shows the numbers of students at 4 middle schools.
Middle school
Number of students
DuBois
Lakeside
Polk
D D
Woodbridge
Each n equals 100 students.
(a) How many students are at Woodbridge Middle School?
(b) How many more students are at Polk Middle School than at DuBois Middle School?
Answer:
(a) 300
(b)100
Step-by-step explanation:
(a) each figure is 100 student and there are 3 figures at Woodbridge so it's 3*100=300
(b) DuBois=3*100=300
Polk=4*100=400
400-300=100
What is the distance between (-3, 4) and (-3, 10)?
Answer:
6 is the the distance between the points
The required distance between coordinates (-3, 4) and (-3, 10) is 6 units.
Given that,
The distance between the coordinates (-3, 4) and (-3, 10) is to be determined.
Coordinate, is represented as the values on x - axis and y - axis of the graph. where the values of the x-coordinate are called abscissa and the values of y coordinate are called ordinate.
Let the distance between two points be C.
Tio determined the distance between two points [tex](x_1, y_1)[/tex] and ([tex]x_2,y_2[/tex]) is given by the distance formula
C = √(x_1-x_2)^2(y_1-y_2)^2}
Putting the given coordinate in the above formula.
C = (-3+3)^2+(4 -10)^2}
C = {(0)^2+(6)^2}
C = √36
C = 6
The required distance between points is 6 units.
Thus, the required distance between coordinates (-3, 4) and (-3, 10) is 6 units.
Learn more about coordinate here:
brainly.com/question/13498438
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How much water will it take to fill the aquarium?
Please anawer this question. Will put as brainliest if i get an answer
Answer:
4096
Step-by-step explanation:
You multiply 32 in. by 8 in. by 8 in.
Answer:
4096
Step-by-step explanation:
to find volume you can just multiply length, width, and height together :) Hope this helps!!! ❤
15 POINTS! will be selecting Brainliest!
How do I do this? Please give step-by-step answers + "work"- will be selecting Brainliest!
find the value of c that creates a perfect square trinomial
Answer:
C equals 64
Step-by-step explanation:
To find the missing value you have to take B divide it by two and then square it. So 16/2 ----> 8 -----> 8 squared =64. Hope this helped
A cylinder has a height of 14 inches and a radius of 5 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
1099 inches
Step-by-step explanation:
We know that formula for volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi 5^2*14[/tex]
[tex]V=\pi 25*14[/tex]
[tex]V=\pi 350[/tex]
[tex]V=3.14*350[/tex]
[tex]V=1099[/tex]
Answer:
1099
Step-by-step explanation:
Which set of angles can form a triangle?
A: 2 acute and 1 right
B: 1 acute and 2 obtuse
C: 1 acute and 2 right
D: 1 acute, 1 right and 1 obtuse
Answer:
A: 2 acute and 1 right
Step-by-step explanation:
A triangle is a polygon that has 3 sides as well as three angles
Triangles can be can be classified based on their three sides as well as their three angles.
Based on their sides, we have 3 types of triangles.
1. Equilateral triangle: This means they have 3 equal sides.
2. Isoceles triangle: They have only 2 equal sides.
3. Scalene triangle: The 3 sides are not equal
Based on their angles, we have 3 triangles.
a. Acute triangle
b. Obtuse triangle
c. Right angle triangle.
One of the way by which we can form a triangle, is by forming it with 2 acute angles and 1 right angle.
Answer:
The correct option is;
A: 2 acute and 1 right
Step-by-step explanation:
Here we have the definitions of the angles as follows;
The sum of angles in a triangle = 180°
An acute angle is an angle less than 90°
An obtuse angle is an angle more 90 ° but less 180°
A right angle triangle is an angle equal to 90°
∴ A right angle triangle is an angle = 90°
Therefore, we compare each of the options
A: 2 acute and 1 right = <90 +<90 +90 < 180 =180 or >180 Possible
B: 1 acute and 2 obtuse = 1<90 + > 90 +>90 > 180°
C: 1 acute and 2 right = <90 + 90 + 90 > 180
D: 1 acute + 1 right + 1 obtuse = <90 + 90 + >90 > 180
Therefore, the only possible correct option is A.
Solve using substitution please help!!!
I hope this helps you
Answer:
The solution of the system is: A
Step-by-step explanation:
[tex]\left \{ {{12x-9y=30} \atop {6x+15y=54}} \right. \\\left \{ {{x=\frac{30+9y}{12} } \atop {6x+15y=54}} \right. \\\left\{ {{x=\frac{30+9y}{12}} \atop {6*\frac{30+9y}{12}+15y=54}} \right. \left \{ {{x=\frac{30+9y}{12}} \atop {15+\frac{9}{2}y+15y=54 }} \right. \\\left \{ {{x=\frac{30+9y }{12}} \atop {y(\frac{9}{2}+15) )= 39}} \right. \\\left \{ {{x=4} \atop {y=2}} \right.[/tex]
Can you please help with think im pointing on please is so hard i will give you a Brainiest
Answer:
40
Step-by-step explanation:
You need to take 30%of 40 to figure it out.
Hope this helps.
If I have 21 cone shaped hats with a diameter of 16in and height of 9in. How much paper do I need to cover the hats?
Answer:
10584 inches of paper
Step-by-step explanation:
to find the surface area of a cone the formula you use is A= πr(r+h2+r2) *you need to divide 16 by two to find the radius 16 is the diameter*
and this subsituted is π8(8+9(2)+8(2)) and this equals 504 inches and you then multiply by 21 to get enough paper to cover all 21 cones and that equals 10584 inches
Freemont Run Club surveyed a random sample of 30 members about their running habit. Of the members surveyed, 9 said that they run more than 5 days a week. There are 84 Freemont Run Club members.
What is the most reasonable estimate for the number of Freemont Members who run more than 5 days a week
Answer:
i think its 420
Step-by-step explanation:
You are jumping off the 12-foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water. Your height (h) in feet above the water in terms of (t) seconds is given by h = -16t^2 + 6t + 12. What is the first step in determining the maximum height that you reach during your dive?
Answer:
h_max = 12.56 units
(the exercise does no specify the units)
Step-by-step explanation:
You have the following function:
[tex]h(t)=-16t^2+6t+12[/tex] (1)
To calculate the maximum height reach by you, you first derivative the function h(t) respect to t:
[tex]\frac{dh(t)}{dt}=-32t+6[/tex]
Next, you equal the result of the derivative to zero and you obtain t:
[tex]-32t+6=0\\\\t=\frac{6}{32}=\frac{3}{16}[/tex]
Then, you replace this value of t in the equation (1) and you obtain the maximum height:
[tex]h(t)=-16(\frac{3}{16})^2+6(\frac{3}{16})+12[/tex]
[tex]h(t)=12.56[/tex]
hence, the maximum height is 12.56 units
Jasmine and her brother Nat are saving to buy a digital camera that costs $135. Jasmine earns $15 per week for babysitting and spends $5 of it. Nat earns $18 per week for walking dogs and spends $7 of it. Which expression can be used to find how many weeks it will take to save for the digital camera?
Answer:
7 weeks
Step-by-step explanation:
Jasmine=$10
Nat=$11
10+11=$22 each week
135/22=6.14
at least 7 weeks
Suppose you arrange 50 counters into rows. The first row has 4 counters. Each row after that has 3 more counters than the row before. How many rows do you need to make to use all 50 counters? nothing rows
Answer:
20
Step-by-step explanation:
hope it right not the best with counting