Answers
the arc length is calculated by the formula [tex]\displaystyle\bf C=\frac{2\pi r}{360} \cdot\alpha[/tex] then [tex]\displaystyle\bf C=\frac{2\cdot 8 \pi }{360} \cdot180=8\pi=3,14\cdot8=25.12[/tex] or it can be calculated using the circumference of the circle since we have a semicircle the circumference 2πr must be divided by 2 С=2πr:2=πr =8π=25,12
Related Questions
Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla opuesta es de 25.2°. Calcular el ancho del río
Answers
Answer:
El ancho del río es 59.9 metros.
Step-by-step explanation:
El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:
[tex]tan(\theta) = \frac{CO}{CA}[/tex]
En donde:
CA: es el cateto adyacente = Altura de la torre = 28.2 m
CO: es el cateto opuesto = ancho del río =?
θ: es el ángulo adyacente a CA
Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:
[tex]\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}[/tex]
Ahora, el ancho del río es:
[tex]CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m[/tex]
Por lo tanto, el ancho del río es 59.9 metros.
Espero que te sea de utilidad!
A square has a perimeter of 36 cm.
What is the length of each side?
Answers
Answer:
Step-by-step explanation:
The perimeter of a square has a formula P = s + s + s + s or just P = 4s where s is the length of a side. If this perimeter has a number value, we can plug it in and solve for the length of each side, like this:
36 = 4s so
s = 9 cm. And there you go!
Out of the 30 days in June, you run 13 days and swim 6 days. You lift weights 7 days
and ride a bike 4 days. If you make a pie chart to show this data, how many degrees
of the circle should represent swimming?
Answers
9514 1404 393
Answer:
72°
Step-by-step explanation:
In a properly constructed pie chart, the proportion of the circle devoted to each section is the same as the proportion of that section to the the whole.
(6 swim days)/(30 days) = (swim pie angle)/(360°)
Multiply by 360° to find ...
swim pie angle = (360°)(6/30) = 72°
72° of the circle should represent swimming.
Rewrite this function in equivalent forms to identify the key features of the quadratic function it models.
f(x) = 2x2 - 40 - 6
Type the correct answer in each box.
Key features:
y-intercept: 0,
axis of symmetry: z =
vertex: OD
x-intercepts: (-1,0) and ((,)
Answers
Answer:
y int = -6
x = 1 axis symmetry
vertex : (1,-8)
x int: (3,0),(-1,0)
Step-by-step explanation:
Graph the solution of the inequality 3/7(35x-14)<_ 21x/2+3
Answers
Answer:
You'll have a closed circle at x = 2, and shading to the left
See the diagram below
=========================================================
Explanation:
The fractions here are 3/7 and 21/2. The denominators of which are 7 and 2 respectively. The LCD is 7*2 = 14.
If we multiply both sides by 14, then this will clear out the denominators and make the fractions go away.
14*(3/7) = (14*3)/7 = 42/7 = 814*(21/2) = (14*21)/2 = 294/2 = 147So if we multiplied both sides by 14, then we have these steps
[tex]\frac{3}{7}(35x-14) \le \frac{21x}{2}+3\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}+3\right)\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}\right)+14*\left(3\right)\\\\6(35x-14) \le 147x+42\\\\[/tex]
--------------------------
Let's isolate x
[tex]6(35x-14) \le 147x+42\\\\6(35x)+6(-14) \le 147x+42\\\\210x-84 \le 147x+42\\\\210x-147x \le 42+84\\\\63x \le 126\\\\x \le 126/63\\\\x \le 2\\\\[/tex]
The graph of this will consist of a closed or filled in circle at x = 2. We shade to the left to represent numbers smaller than 2.
So either x = 2 or x < 2.
If we used an open hole at 2, then we wouldn't be including 2 (but we want to include this endpoint).
See the diagram below.
I need help on my math!!!!!!!
Answers
Answer:
67
Step-by-step explanation:
GOOD LUCK!!
i13(12)-2give answer
Answers
Add (1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2) For each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically.
Answers
Answer:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]
Step-by-step explanation:
Given
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]
Required
Solve
We have:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]
Collect like terms
[tex]1.3t^3 + 0.6t^2 + 0.4t^2 - 24t- 18t + 8[/tex]
[tex]1.3t^3 + t^2 -42t + 8[/tex]
So:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]
Answer:
look at pic
Step-by-step explanation:
I need help I’m rubbish at maths and I really don’t know
❤️❤️
Answers
Answer:
160 cm³
Step-by-step explanation:
→ Write down the formula for the volume
Length × Width × Height
→ Find each value
Length = 4, Width = 4 and Height = 10
→ Substitute into formula
4 × 4 × 10 = 160 cm³
What is
4
7
as a decimal rounded to 3 decimal places?
Answers
Answer:
4/7 as a decimal is 0.57142857142857.
Which of the following values are in the range of the function graphed below?
Check all that apply.
O B. -1
O C. 5
D. 2
E. 1
Answers
Answer:
I believe the answer should be 0 to -1
Step-by-step explanation:
the range of a function is the lowest y value to the highest y value of that function. so in that example, the lowest y value you have on that curved line is at 0, and the highest y value you have on that curved line is 1, so the range should be from 0 to 1, or {0, 1}.
Surface Area of Prisms
Can someone show me how to solve and also what the formula is. Please!
Answers
Answer:
400 in.²
Step-by-step explanation:
Surface area of the triangular prism = bh + L(s1 + s2 + s3)
Where,
b = 8 in.
h = 15 in.
s1 = 17 in.
s2 = 15 in.
s3 = 8 in.
L = 7 in.
Plug in the values
S.A = 8*15 + 7(17 + 15 + 8)
S.A = 120 + 7(40)
S.A = 120 + 280
S.A = 400 in.²
I NEED HELP SOMEONE HELP ME OUTTT!!
Answers
You're working as a floor rep in the local home improvement store. The store wants to increase its inventory. Last year, 40 lawn mowers cost $4,776. At the same cost, how much will 120 lawn mowers cost this year?
Answers
To set up this problem first you'll need to find out the price of one lawn mower.
Divide the amount if lawn mowers bought last year with the cost to get the cost of one lawn mower
Take the number you get and multiply that bu the amount of lawn mowers this year (120)
answer: $14,328
Given the roll of paper towels below how much plastic would be needed to cover the role so it can be sold given the diameter of the role is 10 inches and the height is 13 inches
Answers
Answer:
Amount of plastic need to cover paper role = 565.2 inches
Step-by-step explanation:
Given:
Diameter of paper role = 10 inch
Height of paper role = 13 inch
Find:
Amount of plastic need to cover paper role
Computation:
Radius of paper role = Diameter of paper role / 2
Radius of paper role = 10 / 2
Radius of paper role = 5 inch
Amount of plastic need to cover paper role = Total surface area of cylinder
Amount of plastic need to cover paper role = 2πr(h+r)
Amount of plastic need to cover paper role = 2(3.14)(5)(13+5)
Amount of plastic need to cover paper role = (3.14)(10)(18)
Amount of plastic need to cover paper role = 565.2 inches
(100 points)
1.One of the addends of 17,300 is 11,210. What is the other addend?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ________________________________
2. If one of the factors of 954 is 318 , what is the other factor?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ________________________________
3. HEector bought seven bokes of fruit. Each boc contained 24 fruit. How much fruit did Hector buy?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ________________________________
Answers
Answer:
1a. The other addend of 17,300
1b. 17,300 and 11,210
1c. 17,300-11,210
1d. 17,300-11,210= 6090
1e. 6090
2a. The other factor of 954
2b. 954 and 318
2c. 954-318
2d. 954-318= 636
2e. 636
3a. The total amount of fruit Hector bought.
3b. 7 and 24
3c. 7 x 24
3d. 7 x 24 = 168
3e. 168 fruits
Find the length of the mid segment (median)
Answers
Answer:
13
Step-by-step explanation:
Median of a trapezoid = sum of 2 bases divided by 2
Bases = 10 and 16
Median = (10 + 16)/2
10 + 16 = 26
26/2 = 13
Median = 13
What is the measure of Arc E B C?
Answers
PLZ I NEED ANSWER ILL GIVE BRAINLIEST
Answers
Answer:
y = -2x + 1
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 3 / 2 - (-1)
-6 / 3
= -2
y = -2x + b
3 = -2(-1) + b
3 = 2 + b
1 = b
A) { -3 , -1 , 1, 3 , 6 }
B) { 3, -1 , 2, 0, -2}
C) all real numbers
D) {3,-2,-1,0,1,2,3,4,5,6,7,8}
Answers
Domain is always the X input or left side of a relation. Range is Y/ f(x) input or right side of a relation
On Monday, 405 students went on a trip to the zoo. All 7 buses were filled and 6 students had to travel in cars. How many students were in each bus
Answers
Answer:
57 students
Step-by-step explanation:
Since 6 students count not fit and they had to go in cars, there is a remainder of 6. Subtract that from the total, 405, and you get 399.
Then, divide that by 7, and you get the answer. 57.
Hope it helps!
Answer:
57 students
Step-by-step explanation:
405-6=399
399÷7=57
Polygon ABCD is rotated 90º counterclockwise about the origin to create polygon A′B′C′D′. Match each set of coordinates to the vertices of polygon A′B′C′D′.
Answers
Answer:.
Step-by-step explanation:
Help! Can you please help
Answers
Answer:
14)= 2/3/23 × 1/9/14
= 49/23 × 23/14 = 3/1/2
U CAN USE A CALCULATOR to find the rest......If u have one....
Step-by-step explanation:
11. 1.8
12. 22.6
13. 1.66
14. 3.5
What is the phase shift of F(x) = 3 sin(2x - 4)?
Answers
Answer:
2
Step-by-step explanation:
Use the form asin(bx−c)+d
a=3
b=2
c=4
d=0
Phase Shift: c/b
Phase Shift: 4/2 = 2
Consider the line 4x + 8y = -4.
a) What is the slope of a line perpendicular to this line?
b) What is the slope of a line parallel to this line?
Answers
a slope of a line perpendicular is it’s opposite and reciprocal.
Therefore you want to find the slope. You can do this by writing it in intercept form, or just knowing A/B since it’s in standard form.
slope form: y= mx + b
8y = -4 -4x
y = -1/2x -1/2
So the slope is -1/2 so it’s opposite and reciprocal would be 2. So a slope of a line perpendicular is -2.
b) -1/2
A line parallel would have the same slope as your equation. Since you know the slope -1/2 you know whatever your b value is, that line would be parallel as long as it has the same slope.
Alexandra finished 3/5th of her work. What percentage of work did she complete?
Answers
60 percent
Step-by-step explanation:
Covert 3/5th into percentage so the answer will be 60.
#CarryOnLearningis (12, 4), (36, 12), (-6, -2), (21, 7) directly proportional?
Answers
Answer:
I think yes
Step-by-step explanation:
12/4=3
36/12=3
-6/-2=3
and so on
In which section of the number line is 32−−√?
Answers
where's the number line?
maybe u can attach it at the comments:)
Answer:
Section B
Step-by-step explanation:
What is the answer of this question?
Answers
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
help plsssssssssssssssssssssssssssssss
Answers
Answer
5
All you need to know to solve this problem is the pythogorean theorem. If you draw an imaginary line to make a triangle and a rectangle, you already know the height is 4. To find the base, you know that the bottom length is 9 and the top is 6 so 9-6 =3, which is the length of only the left side of the imaginary line.
So 4^2 + 3^2 = c^2
25 = c^ 2
5 = c
Hope that helps!
