an = a+(n-1)d
an = 10+(n-1)3
an= 10+3n-3
an= 3n + 7
The spoke of a wheel is 15 inches long. What if the area enclosed by the tire?
Answer:
the radius is equal to 3.2ft
Find the slope of the line through each pair of points.
(4.-4). (14, -13)
Answer:
X2 -X1 / Y2 - Y1
Step-by-step explanation:
14- 4 / (-13) - (-4)
10/-9
please help me asap! please
Answer:
65 degree
35 degree
90 degree
115 degree
80 degree
Step-by-step explanation:
geometry: HELPPPP PLSS!!
Answer:
A, C and G
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]
From inspection of the given right triangle:
θ = 25°O = aA = bH = cSubstitute the values into the trigonometric ratios:
[tex]\implies \sf \sin(25^{\circ})=\dfrac{a}{c}[/tex]
[tex]\implies \sf \cos(25^{\circ})=\dfrac{b}{c}[/tex]
[tex]\implies \sf \tan(25^{\circ})=\dfrac{a}{b}[/tex]
[tex]\boxed{\begin{minipage}{4 cm}\underline{Trigonometric values} \\\\$\sin(90^{\circ}- \theta)=\cos \theta$\\$\cos(90^{\circ}- \theta)=\sin \theta$\\$\tan(90^{\circ}- \theta)=\cot \theta$\\\end{minipage}}[/tex]
Using trigonometric values and the calculated trigonometric ratios:
[tex]\begin{aligned} \sf \sin(90^{\circ}- 25^{\circ})&=\sf \cos (25^{\circ})\\\implies \sf \sin(65^{\circ}) &=\sf \dfrac{b}{c}\end{aligned}[/tex]
[tex]\begin{aligned} \sf \cos(90^{\circ}- 25^{\circ})&= \sf \sin(25^{\circ})\\\implies \sf \cos(65^{\circ}) &=\sf \dfrac{a}{c}\end{aligned}[/tex]
[tex]\begin{aligned}\sf \tan(90^{\circ}- 25^{\circ})&= \sf \cot(25^{\circ})\\\implies \sf \tan(65^{\circ}) &= \sf \dfrac{1}{\tan(25^{\circ})}\\\implies \sf \tan(65^{\circ}) & = \sf \dfrac{b}{a}\end{aligned}[/tex]
Therefore, the true equations are:
[tex]\sf A: \quad \cos(25^{\circ})=\dfrac{b}{c}[/tex]
[tex]\sf C: \quad \sin(65^{\circ})=\dfrac{b}{c}[/tex]
[tex]\sf G: \quad \sin(25^{\circ})=\cos(65^{\circ})[/tex]
In ΔJKL, the measure of ∠L=90°, JL = 80, KJ = 89, and LK = 39. What is the value of the sine of ∠J to the nearest hundredth
Given:
In ΔJKL, m∠L=90°, JL = 80, KJ = 89, and LK = 39.
To find:
The value of sine of ∠J.
Solution:
In a right angle triangle,
[tex]\sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
In triangle JKL,
[tex]\sin J =\dfrac{LK}{KJ}[/tex]
[tex]\sin J =\dfrac{39}{89}[/tex]
[tex]\sin J =0.4382[/tex]
[tex]\sin J \approx 0.44[/tex]
Therefore, the value of sine of ∠J is about 0.44.
21 goats eat as much as 15 cows. How many goats eat as much as 35 cows?
41
37
49
38
pls help im being timed :(((
35 cows / 15 cows = 2.3333
21 goats x 2.333 = 49
The answer is 49
Answer:
Number of Goats = 49
Step-by-step explanation:
Let the number of goats be = x
Goats Cows
21 15
x 35
[tex]\frac{21}{x} = \frac{15}{35}\\\\15 \times x = 21 \times 35\\\\x = \frac{21 \times 35}{15} = 7 \times 7 = 49[/tex]
49 goats eat as much as 35 cows.
Sylvia is twice as old as her brother. Find their ages now if in seven years her brother will be what her age was last year.
Answer:
sylvia is 14 and brother is 7
Step-by-step explanation:
theres a seven year difference, and sylvia is twice as old as him, so that means that sylvia is 14 and her brother is 7
please solve right now
Answer:
45 mph
251 ft
Step-by-step explanation:
[tex] s = \sqrt{30fl} [/tex]
a.)
[tex] s = \sqrt{30(0.85)(80)} [/tex]
[tex] s = \sqrt{2040} [/tex]
[tex] s = 45 [/tex]
Answer: 45 mph
b.)
[tex] 80 = \sqrt{30(0.85)l} [/tex]
[tex] 80^2 = (\sqrt{25.5l})^2 [/tex]
[tex] 25.5l = 6400 [/tex]
[tex] l = 251 [/tex]
Answer: 251 ft
What is the surface area, in square centimeter, of the square pyramid?
The function f (t) = 310(0.2)24t represents the change in a quantity over 7 days,
What does the constant 0.2 reveal about the rate of change of the quantity?
the rate percentage
Answer:
80% decrease in the quantity over 7 days
Step-by-step explanation:
Given data
We have the function
f (t) = 310(0.2)24
the above function is similar to the exponential function
f (t) = P(1±r)^t
Now the value 0.2
This means that there is 80% decrease in the quantity over 7 days
Am I supposed to add or divide?
Answer: 11.20
Step-by-step explanation:
Divide. 56.00 ÷ 5 = 11.20 therefore each shirt cost 11.20 Hope that helps!
Answer:
Divide.
Answer : option B
Step-by-step explanation:
Cost Number of shirts
56 5
x 1
[tex]\frac{56}{x} = \frac{5}{1}[/tex]
[tex]5 \times x = 56 \times 1\\\\x = \frac{56}{5} = 11.20[/tex]
Solve each of the following equations by the trial and error method : A) X- 7= -3 help some one now
Answer:
X - 7 = - 3
X = - 3 + 7
X = 4
the 7 turns positive because it was moved to the other side of the symbol "=" so we reverse the sign
- becomes +
and
+ becomes -
I got zero, but that’s wrong.
I multiplied-25,000 x 40% and 25,000 x 25% and 40,000 x 35%
They all were zero. Can you help me figure out where I went wrong?
Answer:
Expected value is 4,000
Step-by-step explanation:
To find expected value ⇒ multiply the value by it's probability
40% × ( -25,000 ) = - 10,000
Breaking means neither add nor subtract a given amount
20% × 0 = 0
35% × 40,000 = 14,000
∴ Expected value = -10,000 + 14,000 = 4,000
LOSS: -10,000
BREAK EVEN: 0
WIN: 14,000
Expected value is 4,000
hope this helps....
shudjendndnndndjfjjjjfndjdndnjdjdjdj
Answer:
the answer is 31°...........
Metric Units of Length
1 km = 103 m = 1,000 m
1 m= 102 cm = 100 cm
1 m = 103 mm = 1,000 mm
1 cm = 10 mm
Which of the following tells how to change a measurement from millimeters to meters?
O Divide by 10
O Multiply by 10
O Divide by 1,000
O Multiply by 1,000
Answer:
devide by 1000 is answer
Answer:
divide by 1000
Step-by-step explanation:
1m=1000mm
? = 10mm
10m*1m/1000
=
PLZ SOLVE. DONT BE WRONG PLEASEEEE I NEDD ED THIS
Answer:
288
Step-by-step explanation:
Take the area of every individual section, and add them together.
24
24
100
80
60
Question 9(Multiple Choice Worth 5 points) (06.01 MCWhat is the value of the expression 2 + 32. (5 - 1)
Answer:
38
Step-by-step explanation:
2 + 3^2 (5 - 1)
PEMDAS says parentheses first
2 + 3^2 (4)
Then exponents
2 + 9 (4)
Then multiply
2+36
Then add
38
Answer:
38
Step-by-step explanation:
how do u solve this problem 1 1/4 x 42/3
Answer:
17.5
Step-by-step explanation:
{ 1 [tex]\frac{1}{4}[/tex] = 5/4 }
1 [tex]\frac{1}{4}[/tex] * 42/3 = 5/4 * 42/3
= 210/12
= 17.5
Find the surface area of the prism. Round the final decimal answer to the nearest tenth if necessary.
Answer:10.6
Step-by-step explanation:
In the standard equation for a conic section Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, if A = C , the conic section in question is a circle
True
False
3. write an equation of the circle whose center is (-5,2) and whose radius length is 4 express your answer in standard form. I NEED MY WORK TO BE SHOWN PLEASE HURRY I AM BEING TIMED!!!!!
Ill give brainliest
.........
Answer:
A) $588.60
Step-by-step explanation:
130.8 × 4.5 = 588.6
Help do I add or divide?
Answer:
Hello! answer: 32
Step-by-step explanation:
Divide. 512 ÷ 16 = 32 so they box and ship 32 toys an hour
Suppose the probability of success in a binomial trial is 0.26. What is the
probability of failure?
A. 0.65
B. 0.35
C. 0.26
D. 0.74
Calculate the standard deviation of the following data.
23, 19, 28, 30,22 Standard Deviation = 3.68
Standard Deviation = 8.12
Standard Deviation = 4.13
Standard Deviation = 4.03
The standard deviation of the data will be;
⇒ 4.13
What is Standard deviation?
Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given that;
The data set is,
⇒ 23, 19, 28, 30, 22
Now,
Since, The data set is,
⇒ 23, 19, 28, 30, 22
Hence, The mean = 23 + 19 + 28 + 30 + 22 / 5
= 122/5
= 24.4
So, The standard deviation is;
√ (23 - 24.4)² + (19 - 24.4)²+(28 - 24.4)² + (30 - 24.4)² + (22 - 24.4)²/ (5-1)
⇒ √ 1.96 + 29.16 + 12.96 + 31.36 + 5.76 / 4
⇒ √ 81.2/4
⇒ √20.3
⇒ 4.13
Thus, The standard deviation of the data will be;
⇒ 4.13
Learn more about the standard deviation visit:
https://brainly.com/question/475676
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To calculate the standard deviation of the data set, we can use the formula:
$$ \sigma = \sqrt{\frac{1}{n}\sum_{i=1}^{n} (x_i - \mu)^2} $$
Where:
$x_i$ is each data point
$\mu$ is the mean of the data set
$n$ is the number of data points
For the data set given, the mean is $\mu = 24.4$
Plugging in the values into the formula, we get:
$$ \sigma = \sqrt{\frac{1}{5}\sum_{i=1}^{5} (x_i - 24.4)^2} = \sqrt{\frac{1}{5}( (23-24.4)^2 + (19-24.4)^2 + (28-24.4)^2 + (30-24.4)^2 + (22-24.4)^2 )} $$
After evaluating the expression, we get:
$$ \sigma = \sqrt{\frac{1}{5}(1.96 + 5.76 + 3.36 + 5.76 + 0.36)} = \sqrt{\frac{1}{5}(18.2)} = \sqrt{3.64} = 1.91 $$
So the standard deviation of the data set is 1.91.
To learn more about data set please click on below link.
https://brainly.com/question/3213383
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what is the difference between the two polynomials (9x^2+8x)-(2x^2+3x)
Answer:
[tex]{ \tt{( {9x}^{2} + 8x) - ( {2x}^{2} + 3x)}} \\ = (9 - 2) {x}^{2} + (8 - 3)x \\ = { \bf{ {7x}^{2} + 5x}} \\ \\ { \underline{ \blue{ \tt{becker⚜jnr}}}}[/tex]
Answer:
7x^2 + 5x
Step-by-step explanation:
(9x^2 + 8x) - (2x^2 + 3x)
multiply the brackets
9x^2 + 8x - 2x^2 - 3x
place the like terms together and then add or subtract them
9x^2 - 2x^2 + 8x - 3x
7x^2 + 5x
The rectangles shown below are similar.
Which statement below shows the correct proportion between their sides?
Answer:
12/4 = L/8
Step-by-step explanation:
.......................
a circle has a diameter of 100 cm. which of these is closest to its area? show or explain your reasoning.
314 cm
7,854 cm
15,708 cm
31,400 cm
Answer:
7,854 cm
Step-by-step explanation:
The area of a circle is given by πr², and the radius is the diameter/2:
100/2=50
π•50²=7,853.98≈7,854
Trong mặt phẳngOxy , phép quay mỗi
vector quanh gốc tọa độ một góc α ngược
chiều kim đồng hồ là một ánh xạ tuyến tính
(Hình 1). Hãy tìm ma trận biểu diễn và biểu
thức của phép quay trên.
Áp dụng: Cho tam giác MNP gồm các
đỉnh (1,1) M , (1,2) N , (3,3) P hãy tìm ảnh của
tam giác MNP qua phép quay nói trên, biết
góc quay là / 4 α = π và vẽ hình biểu diễn.
Answer:
Step-by-step explanation:
∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?
Answer:
DEF = 110
Step-by-step explanation:
Supplementary angles add to 180
3x+5 +2x = 180
Combine like terms
5x +5 = 180
Subtract 5 from each side
5x = 175
Divide each side by 5
5x/5 = 175/5
x =35
DEF = 3x+5
= 3*35 +5
= 105+5
= 110