In this context:
[tex]\boxed{\angle DBC=x=60^{\circ}}[/tex]
Explanation:Hello! Remember to write complete questions in order to get good and exact answers. Here the figure is missing so I'll assume the arc measure of DBC is given in radian and you want it in degrees. By definition, an arc's measure is the measure of its central angle being a central angle an angle between two radii in a circle. Suppose that angle measures:
[tex]\angle DBC=\frac{\pi}{3}\ radian \\ \\ \\ So, \ by \ rule \ of \ three: \\\\ \\ \pi \ radian \rightarrow 180 \ degrees \\ \\ \pi/3 \ radian \rightarrow x \ degrees \\ \\ \\ x =\frac{180\pi}{3\pi}=60^{\circ} \\ \\ \\ Finally: \\ \\ \boxed{\angle DBC=x=60^{\circ}}[/tex]
reference the right triangle shown below to write the quantity as a fraction in lowest terms
tan P
Answer:
A right angled triangle is a triangle where one of the internal angles is 90°.
Consider the general right angle triangle, in figure 1 below, with angle β and sides labeled as shown below
Right-Angle-Triangle
The sides are labeled with respect to the angle β, so that the nearest side is called the adjacent side, the side that is directly opposite is called the opposite side while the longest side is called the hypotenuse.
Therefore, given any angle in a triangle, it should be easy to identify the adjacent, the opposite side and the hypotenuse.
Example
Reference to the figure below.
Example1
1. Identify the right angle triangles in the above diagram.
Solution: A right angled triangle is a triangle where one of the internal angles is 90°. Such triangles are ABC, ABN, DAC and DNC.
2. Identify the adjacent sides to angles θ, α, β and µ.
Solution:
Angle θ is in triangle DAC. The angle is nearer to line AC hence, it is the adjacent line.
Angle α is in triangle ABN. The angle is nearer to line AB hence, it is the adjacent line.
Angle β is in triangle DNC. The angle is nearer to line DC hence, it is the adjacent line.
Angle µ is in triangle ABC. The angle is nearer to line AB hence, it is the adjacent line.
3. Identify the opposite sides to angles θ, α, β and µ.
Solution:
Angle θ is in triangle DAC. The angle is opposite to line DC hence, it is the opposite line.
Angle α is in triangle ABN. The angle is opposite to line AN hence, it is the opposite line.
Angle β is in triangle DNC. The angle is opposite to line CN hence, it is the opposite line.
Angle µ is in triangle ABC. The angle is opposite to line AC hence, it is the opposite line.
4. Identify hypotenuse with respect to angles θ, α, β and µ.
Solution:
Angle θ is in triangle DAC. The longest side in that angle triangle is AD hence, it is the hypotenuse.
Angle α is in triangle ABN. The longest side in that angle triangle is NB hence, it is the hypotenuse.
Angle β is in triangle DNC. The longest side in that angle triangle is DN hence, it is the hypotenuse.
Angle µ is in triangle ABC. The longest side in that angle triangle is CB hence, it is the hypotenuse.
We will cover the following. Feel free to skip any section as you prefer.
Step-by-step explanation:
A basketball team scored 366 points in S games. Another
in 8 games. Each team played one additional game, maki
scored per game the same for both teams. The equation
number of points scored by each team in the additional
366 +
585 * *
The value of x in the expression given is 72.
From the equation given, we can calculate the value of x thus :
(366+x)/6 = (585+x)/9cross multiply
9(366 + x) = 6(585 + x)
3294 + 9x = 3510 + 6x
9x - 6x = 3510 - 3294
3x = 216
x = 216/3
x = 72
Hence, the value of x is 72
Complete Question:
A basketball team scored 366 points in 5 games. Another basketball team scored 585 points in 8. What is the value of x? A 65 B 73 C 61 D 72 games. Each team played one additional game, making the average number of points scored per game the same for both teams. The equation below can be used to find x, the number of points scores by each team in the additional game. (366+x)/6 = (585+x)/9 .
A Ferris wheel has a diameter of 60 feet. Determine the distance around the Ferris wheel
Answer:
Step-by-step explanation:
2*pi*r
here r=D/2=60/2=30
so
s=2*3.14*30=188.4
What is the least common multiple (LCM) of 7 and 9?
Answer:
63
Step-by-step explanation:
7*9=63
9*7-63
Answer:
63
Step-by-step explanation:
7 and 9 multiply to 63 at the least
Does the graph of y=x2+4x−1 open upward or downward? upward downward
Answer:
Upward
Step-by-step explanation:
The first term is positive meaning it will open upward
Answer: The answer is A: Upward.
Step-by-step explanation: When the first term is positive, the graph open upward.
Pablo put $1,260 into a savings account that earns 3% simple interest per year. He does not make any deposits or withdrawals. How much money will be in Pablo's account after 2 years?
Answer:
$1,335.60
Step-by-step explanation:
6% of $1,260 is $75.60. $1,260 + $75.60 = $1,335.60
Hope this helps!!
What is the length of Line segment B C? Round to the nearest tenth.
Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 65 degrees. The length of hypotenuse B A is 16 centimeters and the length of B C is x.
6.8 cm
7.5 cm
14.5 cm
17.7
Answer:
14.5
Step-by-step explanation:
since the hypotenuse is 16 you multiply that by (sin(65)) and 14.5 is the answer.
I NEED HELP! (Tap on picture!)
You are buying balloons for a party. A small balloon costs $2. A large balloon costs $4. Write an algebraic expression for the cost of x small balloons and y large balloons. Then find the total cost for 10 small balloons and 5 large balloons.
An algebraic expression for the cost of x small balloons and y large balloons is
what.
The total cost for 10 small balloons and 5 large balloons is $
what.
Will mark your answer brainliest if you get it right
Please Answerrrrrrrrrr!
Answer:
2x + 4y
$40
Step-by-step explanation:
Equation for x small balloons and y large balloons
2x + 4y
Total cost of 10 small balloons and 5 large balloons
x = 10, y = 5
2(10) + 4(5)
= 20 + 20
= $40
NEED ANSWER ASAP!!!Keiko and Eric each randomly surveyed people with cell phones. They recorded peoples'
ages (a years) and how many texts they send per day on average (t texts). For their respective data, they each drew a line of best-fit and determined its equation. They then compared equations and made inferences based only on the equations they calculated.
In this Age and Texting question, The true statement based on this information is that the younger a person is, the more likely they are to text. So the correct answer is option 3rd.
The two equations given represent the lines of best fit for the data collected by Keiko and Eric regarding peoples' age and the number of texts they send per day on average.
By analyzing the equations, we can make inferences about the relationship between age and the number of texts. Keiko's equation, t = -1.63a + 92.14, suggests that as age increases, the number of texts decreases.
Eric's equation, t = -1.05a + 80.97, also indicates a negative relationship between age and the number of texts, but with a slightly smaller slope. Therefore, the true statement based on this information is that the younger a person is, the more likely they are to text.
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how to write 700.06 in
word form
Step-by-step explanation:
seven hundred and six hundredtsorseven hundred point zero sixThe word form of the number 700.06 will be;
'' Seven hundred point zero six.
What is Place value?
The value represented by a digit in a number on the basis of its position in the number is called a Place value.
Given that;
The number is,
⇒ 700.06
Now,
The word form of the number 700.06 will be;
'' Seven hundred point zero six.
Thus, The word form of the number 700.06 will be;
'' Seven hundred point zero six.
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a square garden plot has an area of 24 ft2. a. find the length of each side in simplest radical form. b. calculate the length of each side to the nearest tenth of a foot.
The area of a square is equal to the side squared.
[tex]s^{2} = A[/tex]
We can plug in 24 for A and then take the square root of each side to
find s.
[tex]s^{2} = 24[/tex]
[tex]s = \sqrt{24}[/tex]
We can simplify √24.
The prime factorization of 24 is 2 x 2 x 2 x 3.
Since we have 2 x 2 inside the radical we can simplify to have 2
outside the racial.
[tex]\sqrt{24} = \sqrt{4*6} = 2 \sqrt{6}[/tex]
We can then use a calculator to find an approximate decimal value
2√6.
(You could technically calculate it by hend using the Babylonian
method, I don't think youre expectited to do that, though)
[tex]2\sqrt{6} = 4.9 ft[/tex]
2x + 4x - 5= 37
Help me please it’s multi step equation
Add 2x and 4x together you'll get 6x then add 5 to 37 and get 42 then divide 42 by 6x and 7=x
Answer:
x=7
Step-by-step explanation:
2x + 4x - 5= 37
Combine like terms
6x-5 =37
Add 5 to each side
6x-5+5 = 37+5
6x = 42
Divide each side by 6
6x/6 = 42/6
x =7
The degree for 6g²h³k?
Answer:
the degree for this monomial is 7
Step-by-step explanation:
g^2 = 2
h^3= 3
k = 1
add the exponents- 2+3+1= 7
Which of the following is a reason why Northern Europe’s literacy rate is so high?
A. high taxes
B. Strong government support
C. All of the above
D. Free schooling
Find the perimeter of the colored part of the figure. The figure is composed of small squares with side-length 1 unit and curves that are an arc of a circle(half circle). Use 3.14 for pi.
Answer:
16.56 in
Step-by-step explanation:
4 sides of the squares are exposed
The radius of each semicircle is 1 since they are against 2 squares.
2pi*r=circumfrence
2pi*1=6.28
6.28/2=3.14 because it's a semicircle
3.14*4=12.56 because there are 4 equal semicircles
12.56+4=16.56
Simplify:
X(3.8 - 2.6) +3+3.2 (x + 2)
Answer:
4.4x+9.4
Step-by-step explanation:
x(3.8)-x(2.6)+3+3.2(x)+3.2(2)
3.8x-2.6x+3+3.2x+6.4
Combine all of x's with the blanks
4.4x+9.4
A toy boat is bobbing in the water.
Its distance D(t) (in m) from the floor of the lake as a function of time t (in seconds) can be modeled by a sinusoidal expression of the form a×sin(b×t) + d.
At t=0, when the boat is exactly in the middle of its oscillation, it is 1 m above the water's floor. The boat reaches its maximum height of 1.2 m after pi/4 seconds.
Find D(t).
Answer:
[tex]D(t) = 1\,m + (0.2\,m)\cdot \sin \left[\right(2\,\frac{rad}{s} \left)\cdot t\right][/tex]
Step-by-step explanation:
The sinusoidal expression has the following form:
[tex]D(t) = D+A\cdot \sin (B\cdot t)[/tex]
Where:
[tex]D[/tex] - Initial distance from the floor of the lake, in meters.
[tex]A[/tex] - Amplitude of oscillation, in meters.
[tex]B[/tex] - Angular frequency, in radians.
Now, each coefficient is derived as follows:
Initial distance from the floor of the lake
[tex]D = 1\,m[/tex]
Amplitude of oscillation
[tex]A = 1.2\,m - 1\,m[/tex]
[tex]A = 0.2\,m[/tex]
Angular frequency
From the statement it is known that boat reaches its maximum height in a quarter of its oscillation. Then, the angular frequency is:
[tex]B = \frac{\frac{1}{2}\pi \,rad}{\frac{1}{4}\pi \,s}[/tex]
[tex]B = 2\,\frac{rad}{s}[/tex]
The expression is:
[tex]D(t) = 1\,m + (0.2\,m)\cdot \sin \left[\right(2\,\frac{rad}{s} \left)\cdot t\right][/tex]
Answer:
0.2sin(2t)+1
Step-by-step explanation:
This is a simplified version of the answer above me.
Can someone help me do this thank you
Answer:
d = 15
Step-by-step explanation:
6+15 = 21
Which sequence are geometric?
Answer:
The second one
The third one.
The last one.
Step-by-step explanation:
Hope this helps!
3/5 * (t + 26) = −3(2 − t)
t =
Answer:
t=9
Step-by-step explanation:
How many total outcomes are in the sample space of rolling two numbered cubes numbered 1-6
For each cube there are 6 outcomes, so there are 6*6 = 36 outcomes for two dice. Visually you can have a table that is 6 rows and 6 columns leading to 36 cells overall.
Find the range of the function. f(x) =10-x^2
Answer: ( - ∞ , 10 ] , { y| y ≤ 10 }
Step-by-step explanation: You have to find the domain by finding where the function is defined. The range is the set of the values that correspond with the domain.
The range of the function f(x) = 10 - x^2 is all real numbers less than or equal to 10.
To find the range of the function f(x) = 10 - x^2, we need to consider the maximum and minimum values that f(x) can take. The parabola opens downwards since the coefficient of x^2 is negative, which means it has a maximum value and no minimum value. The vertex of this parabola occurs at x = 0, which gives us the maximum value of f(0) = 10. Therefore, the range of f(x) is all real numbers less than or equal to 10, which can be expressed as f(x) ≤ 10 or in interval notation, \\[10, -∞).
What is the median of the following numbers
Answer: You did not give me any numbers...
Step-by-step explanation:
just to say, The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set.
Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudge sickle. Rusty has decided to order a corn dog and to choose his side and dessert randomly. What is the probability that Rusty will not end up with his favorite meal?
A. 1/80
B. 1/16
C. 15/16
D. 79/80
Answer:
Option C.
Step-by-step explanation:
It is given that Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudgesicle.
Rusty has decided to order a corn dog and to choose his side and dessert randomly.
We need to find the probability that Rusty will not end up with his favorite meal.
Total number of sides = 4
Total number of desserts = 4
Total possibilities = 4 × 4 = 16
Possible ways of selecting tater wedges and a fudge sickle = 1
Probability that Rusty will end up with his favorite meal is
[tex]P=\dfrac{1}{16}[/tex]
Probability that Rusty will not end up with his favorite meal is
[tex]P'=1-P=1-\dfrac{1}{16}=\dfrac{15}{16}[/tex]
Hence, the correct option is C.
You go to the store and find some books that are 35% off regular price. If a book costs $20, what would you pay?
Answer: 13 dollars
Step-by-step explanation:
Answer:
13 dollars.
Step-by-step explanation:
Hope this helps!
Multiply 20 dollars by 0.65.
Which is a right triangle formed using a diagonal through the interior of the cube?
Answer:
ΔABE is correct because it is a right triangle through a diagonal
Step-by-step explanation:
Answer: A
Step-by-step explanation:
can someone please help answer this problem ASAP!!!:)
Answer:
c
Step-by-step explanation:
i am a really good guesser and i think it is c
What is the volume, in cubic ft, of a cylinder with a height of 17ft and a base radius of 5ft, to the nearest tenths place?
Answer: 1335.2 ft^2
Step-by-step explanation: The volume of a cylinder formula is V=πr^2h. Just plug in 17 into h and 5 into r. Also the 2 is an exponent
The volume of the cylinder with a height of 17ft and a base radius of 5ft is approximately 1335.2 cubic feet.
What is the volume of a substance?The volume of a substance is the total space occupied by the substance in the three-dimensional space.
How do we determine the volume of a cylinder?The volume of a cylinder with the radius of the base r units, and a height of h units is given by the formula:
The volume of a cylinder = πr²h cubic units.
How do we solve the given question?In the question, we are asked to determine the volume of a cylinder with a base radius of 5ft and a height of 17ft.
We are given base radius r = 5ft, height h = 17ft.
To determine the volume, we use the formula of the volume of a cylinder:
The volume of a cylinder = πr²h cubic units.
or, Volume = π*(5²)*17 cubic feet
or, Volume = 3.1415*25*17 cubic feet (Taking π ≈ 3.1415)
or, Volume = 1335.1768 cubic feet ≈ 1335.2 square feet (Nearest tenths)
∴ The volume of the cylinder with a height of 17ft and a base radius of 5ft is approximately 1335.2 cubic feet.
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What is the equation of the line through the points (-3, 4) and (5, 4)?
Answer:
The correct equation (in slope intercept form) is [tex]y=-4x+8[/tex]
The equation of the line through the points (-3, 4) and (5, 4) is y=4.
What is the equation of a line?The standard form of the line is;
[tex]\rm y=mx+c[/tex]
The slope of the line is;
[tex]\rm m=\dfrac{x_2-x_1}{y_2-y_2}\\\\m =\dfrac{5-(-3)}{4-4}\\\\m =\dfrac{8}{0}\\\\m=0[/tex]
The equation of the line through the points (-3, 4) and (5, 4) is;
[tex]\rm y-y_1=m(x-x_1)\\\\y-4=0(x-(-3))\\\\y-4=0\\\\y=4[/tex]
Hence, the equation of the line through the points (-3, 4) and (5, 4) is y=4.
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