Given:
The central angle = [tex]\theta[/tex]
Radius of the circle = 4 ft
Intercepted arc length = 50ft
To find:
The value of [tex]\theta [/tex] in radian measure.
Solution:
The formula for arc length is
[tex]s=r\theta[/tex]
where, r is radius and [tex]\theta [/tex] is the central angle in radians.
Putting s=50 and r=4, we get
[tex]50=4\theta[/tex]
Divide both sides by 4.
[tex]\dfrac{50}{4}=\theta[/tex]
[tex]12.5=\theta[/tex]
Therefore, the value of [tex]\theta [/tex] is 12.5 radians.
if sin theta is 4/5, what is sec theta
Answer:
sin=24/=x
Step-by-step explanation:
Answer:
5/3
Step-by-step explanation:
it will be 5 /3
sec theta will be hypotanus/ Adjacent
Help me plz will give Brainly est
Answer:
$394.38
Step-by-step explanation:
the formula is I=PRT the trick here is converting the rate from 7% to a decimal. its 0.07. so you have I=(939)(.07)(6)=394.38
Prove that 4 is a multiple of 2
Answer:
If you count by 2's and 2 x 2 = 4
Step-by-step explanation:
Answer:
4 is a multiple of 2
Step-by-step explanation:
The reason it is because take a multiplication table for example. 1*2=2, 2*2=4, 3*2=6, 4*2=8, and so on.
4. An extension ladder is leaned up against a building to reach a window that is 16.1 feet
from the ground. The base of the ladder is 10 ft from the building.
a How long is the ladder if it is fully extended?
b. What is the angle that the ladder makes with the ground?
C. What is the angle of the ladder with the building?
Answer:
a) ~18.95ft
b) ~58°
c) ~32°
Jeremy buys 1,045 ceramic tiles. He can take 25 tiles to his truck at a time in his shopping cart. What is the minimum number of trips Jeremy must make to get all the tiles to his truck?
Answer:
42
Step-by-step explanation:
its 41.8, but you cant take 41.8 trips, so you have to round it
Answer:
1020
P.S: I think this answer is right may be not
Leilani hung a triangular pennant for her favorite baseball team in her room as shown below.
If the area of Leilani’s pennant is 82.65 in.2, what is the measure of the base in inches?
Answer:
Step-by-step explanation:
recall the area of a triangle is Area = 1/2* Base* height
then we know the height, and the area solve for the base
I'll do the algebra symbolically so you can see how
A = 1/2 *B * H ( start here)
2A/H = B ( move to here )
Now plug in what you know on the left side
2*82.65/17.4 = base
9.5 = base :)
State of the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Answer:
SSS, UVD, the answer is D
Step-by-step explanation:
90/9 = 10
70/7 = 10
80/8 = 10
triangle LMN congruent triangle UVD
En su empresa, María se encarga de comprar el material de ferretería. Necesita una llave para unos tornillos de cabeza cuadrada de 50 mm de lado. ¿Qué área tendrá el hueco de la llave que encaje en los tornillos ?
Answer:
De las tablas de datos para tornillos estándar y tamaños de orificios de llave, de un sitio web globalfastner basado en ASME B 18.2.1 tenemos;
El tamaño máximo del cuerpo y, por lo tanto, el orificio de un perno cuadrado de un mínimo de 1.944 pulgadas (aproximadamente 50.65 mm) es de 1.3750 pulgadas (aproximadamente 34.925 mm).
Step-by-step explanation:
A rubber ball is thrown against the pavement and bounces into the air. If the ball is airborne for 2.5 seconds, how long after it bounces upward does the ball reach its maximum height?
Answer:
Step-by-step explanation:
1/2 * 2.5
= 1.25 seconds
Easy make sure its detailed 15 points
9514 1404 393
Answer:
no square roots: -1000, -8one square root: 0two square roots: 8, 64, 1000no cube roots: <none>one cube root: -1000, -8, 0, 8, 64, 1000two cube roots: <none>Step-by-step explanation:
The attached graph shows the square root relation (red) and the cube root function (blue). The function values are shown for x=0 and x=±8.
You can see that there are 2 square roots for positive numbers, one square root for 0, and 0 square roots for negative numbers. There is exactly 1 cube root for any number.
no square roots: -1000, -8one square root: 0two square roots: 8, 64, 1000no cube roots: <none>one cube root: -1000, -8, 0, 8, 64, 1000two cube roots: <none>_____
Additional comment
We call the square root curve a "relation" because it is not a function. A relation that is a function will have only one y-value for each x-value. For positive x-values, there are two square roots.
Order the set of numbers from least to greatest:
Answer:
It is already in the correct order
PLEASE HELP
Which of the following expressions is equivalent to
c^14c^3/c^6?
A. c^7
B. c^11
C. c^16
D. c^28
E. c^142
PLEASE I WILL LEGIT CRY
Answer:
B: c^11
Step-by-step explanation:
Separate the equation:
c^14/c^6 + c^3/c^6
c^14-6 + c^3/c^6 = c^8 + c^3/c^6
c^8 + c^3-6
c^8 + c^-3
Turn the -3 positive
The final equation = c^8+c^3
Therefore, c^11 is the correct answer.
Answer:
B) c^11
Step-by-step explanation:
Cameron is making hiking snacks. He has 4 bags and puts 1 1 5 pounds of trail mix in each bag. How many total pounds of trail mix does Cameron have?
Answer:
460 pounds
Step-by-step explanation:
total pounds of trail mix = number of bags x total pounds in each bag
4 x 115 = 460 pounds
A person goes to a store to buy a trolley bag. The bag costs $5000. Two deals are offered to the person. The first deal offers a discount of $500 and the second deal offers a discount of 20%. Which is a better deal?
Answer:
20% off is better
Step-by-step explanation:
because 20% of 5000 is 1000
and 1000 is greater than 500
hope this helps!!!
20% discount
Step-by-step explanation:
20% of 5000 is 1000
which would mean they would only pay 4000$
and that is less than 5000-500=4500
The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is x3/2. What is the value of b
Answer:
uhm it should be b=x5/2
Step-by-step explanation:
Best Answer gets brainly!Thanks for helping :D
Answer:
x < 3
Step-by-step explanation:
The line is moving to negative so the number is less than 3
the white circle (or opened circle) indicates that we do NOT include that number so it is x < 3
Select all of the following side lengths that DO create a triangle. A. 5,6,8 B. 3,5,6 C. 4,3,8 D. 5,5,9 E. 3.7,5.3,9
20 POINTS
Verify which of the following are identities.
1) 8 cos theta tan theta csc theta=8
Answer:
a) Only the first one is an identity.
Step-by-step explanation:
1). 8 cos O tan O csc O = 8 simplifies to:
cos O tan O csc O = 1
cos O * (sin O / cos O) * (1 /sin O)
= cos O sin O / cos O sin O
= 1
So it is identity.
2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O
= 13 sec^2 O - tan^2 O / cos^2 O
Now sec^2 O = 1 + tan^2 O, so we have:
(13( 1 + tan^2 O) - tan^2 O) / cos^2 O
= (12 tan^2 O + 13) / cos^2 O
This is not always = 2 so its not an identity.
A support cable connects the top of a bridge tower to the road below.
The cable is 245.9 feet long and connects to the road at a point 200.7 feet away from the center of the bridge tower.
To the nearest tenth of a foot, how tall is the tower?
Answer:
the road is 142 ft away from the center of the bridge tower.
Step-by-step explanation:
Since, the bridge tower is standing vertical to the the road, therefore, the angle made by it is a right angle.
Therefore, the triangle made by cable(hypotenuse) and bridge tower (Perpendicular) on road (base) must be a right angled triangle.
Therefore, by Pythagoras theorem, we have
H² = P²+ B²
P²=H²-B²
P²=(245.9)²-(200.7)²
P=√20186.32=142.07
Give P(-1, 8) and Q(5,12), and MN is the image of PQ under a translation of T
If the coordinates of M, the image of P, are (11,4), the coordinates of N are?
Answer:
If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'? ... Q. Point P is graphed at (4,5) shown on the grid below.
Step-by-step explanation:
Solve: 7x = 6x -9
plsss
Answer:
x = -9
Step-by-step explanation:
A garden is in the shape of a semicircle with a diameter of 40m. What is the area of the garden?
Use 3.14 as an approximation for IT
A 5,024 m
B 2,152 m²
C 1,256 m2
D 628 m²
Answer: D) 628 m^2
==========================================================
Explanation:
Let's find the area of the full circle first. The radius is 20 meters, since that's half of the diameter 40. So we have r = 20.
We'll use pi = 3.14 as an approximation
A = area of full circle
A = pi*r^2
A = 3.14*20^2
A = 1256
This is the area of a full circle, but we want half of that because we want the area of a semicircle instead. Since your teacher put 1256 for choice C in there, it seems like that is a trick answer.
We'll divide 1256 over 2 to get 1256/2 = 628 square meters as the final answer, which is choice D.
We can abbreviate "square meters" into "m^2".
Please Help. Pre calc
Establish the Identity : sec u +tan u =cos u/1-sin u
Answer:
I hope this helps :)
Step-by-step explanation:
Answer:
may be the guy is correct
Compare lengths. Write >, <, or = .
22 ft __ 7 yd 11 in.
Terry did all 25 problems on the test and got an 85. Scores are computed by giving 4 points for each right answer and subtracting 1 point for each wrong answer
Answer:
There are 25 questions and Terry got 3 of them wrong and 22 correct
Step-by-step explanation:
4 * 22 = 88
88 - 3 = 85
22 + 3 = 25
A complex shape made of two rectangles. The bottom rectangle has measurements 3 meters by 4 meters. The top rectangle has measurements 3 meters by 2 meters plus 4 meters plus 2 meters. Side A B is opposite of the side with measurements 2 meters, 4 meters, 2 meters. What is the distance from point A to point B? 8 m What is the perimeter of the shape?
The length of the side opposite to points A and B is 8 m
The perimeter of the shape is 18 m.
What is the distance from point A to point B?The length of the side opposite to points A and B, is 2 meters and 4 meters and 2 meters.
Length of AB = 4 m + 2 m +2 m = 8 m.
The perimeter of the complex shape by adding the lengths of all its sides;
Perimeter = length of AB + length of BC + length of CD + length of DA
Length of BC = length of the bottom side of the top rectangle = 3m
Length of CD = length of the top side of the top rectangle = 3 m.
Length of DA = length of the bottom side of the bottom rectangle = 4 m.
The perimeter of the complex shape is calculated as follows;
Perimeter = 8 m + 3 m + 3 m + 4 m
Perimeter = 18 m.
Learn more about perimeter here: https://brainly.com/question/19819849
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Find the principal amount invested if the amount in a quarterly compounded account with a 3.07% interest rate is $5,993.79 after 66 months
Answer:
$5065.8332
Step-by-step explanation:
Given that :
Compound interest formula :
A = P(1 + r/n)^nt
t = period in years
n = number of compounding times per period, quarterly = 12/3 = 4
A = 5,993.79
r = 0.0307
t = 66 months = 66/12 = 5.5
5,993.79 = P(1 + 0.0307/4)^4*5.5
5,993.79 = P(1.007675)^22
5,993.79 = 1.1831795P
P = 5,993.79 / 1.1831795
P = 5065.8332
Hence, principal amount = $5065.8332
tenth term of 4n-3
thank you
4n - 3 = 4 * 10 - 3 = 40 - 3 = 37
....
Answer:
tenth term =(4×10)-3
=40-3
=37
Pánfilo tiene una finca de 48 hectareas, si vende 2/3 y alquila 3/4 del resto. Además, si él desea sembrar, ¿cuantó terreno le queda a Pánfilo disponible para la siembre?
-Identifica los datos del problema.
-Identifica el procedimiento a utilizar.
-Utiliza correctamente el procedimiento.
-Interpreta la respuesta obtenida.
What’s the missing side length?
Answer:
14 cm
Step-by-step explanation:
this is because of the far left side of the shape being 6cm and as well as with the 8 cm from one side of the shape being another component to the origin of the side length, this would give us the equation 6 + 8 with out sum coming out to 14 cm being identified as the right unknown length.