There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.
Give the answer correct to one decimal place. [3
(ii)
Calculate the value of 7.2-13) ---
Answer with working steps:
Step-by-step explanation:
the answer is in the above image
Select how this number is read. 59.300 A. fifty-nine and three hundred thousandths B. fifty-nine and three hundredths C. five hundred ninety-three D. fifty-nine point three zero zero
Answer:
D
Step-by-step explanation:
D. Fifty-nine point three zero
In decimals, this idea of zeros that don't add value to a number can be extended to trailing zeros. A trailing zero is any zero that appears to the right of both the decimal point and every digit other than zero.
Un león, al ver correr un grupo de venados ¡exclamó!: "Adiós, mis cien venados", a lo cual los venados contestaron: "Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100". Cuántos venados van en el grupo? ( Utilice una ecuación de primer grado)
Answer:
Hay 56 venados en el grupo.
Step-by-step explanation:
En primer lugar, debemos traducir la proposición (oración) en una expresión matemática:
"Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100"
[tex]x + \frac{x}{2} + \frac{x}{4} + 1 = 100[/tex]
[tex]\frac{3\cdot x}{2} + \frac{x}{4} = 99[/tex]
[tex]\frac{7\cdot x}{4} = 99[/tex]
Donde [tex]x[/tex] es el número de venados.
[tex]x = 56.571[/tex]
Puesto que la cantidad de venados es un número entero, debemos truncar al entero más cercano. Es decir:
[tex]x = 56[/tex]
Hay 56 venados en el grupo.
mow much would 600$ invested at 8% interest compounded continuously be worth after 3 years?
HELP ASAP< BRAINLIEST IF RIGHT
Answer:
Option B.
Step-by-step explanation:
For a general function f(x), a vertical stretch of scale factor K is written as:
g(x) = K*f(x)
Also, for definition, we usually define:
for K > 1, this is an "stretch" or "dilation"
for 0 < K < 1, this is a "contraction"
Here we have:
f(x) = ∛(x + 4)
We want to find an option that is a vertical stretch from this:
So we want something like:
g(x) = K*∛(x + 4)
With K > 1
Then the correct option is B, where we have K = 2, so this is a vertical stretch of scale factor K = 2.
Evaluate 2(x + 1) - 3 when x= 6.
A. 8
B. 5
c. 11
D. 10
Answer:
11
Step-by-step explanation:
2(x + 1) - 3
Let x= 6
2(6+1) -3
Parentheses first
2(7) -3
Then multiply
14-3
Then subtract
11
Use the drop-down menus to complete the statements.
The ordered pair given in the first row in the table can
be written using function notation as
f(x) = -2 when x is
V
Answer:-23
Step-by-step explanation:
F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8
Since F and a are directly proportional, we can relate F to our unknown F, and a to our other known a.
25 / 5 = F / 8
Cross-multiply to solve.
5F = 200
F = 40
Hope this helps!
Larry works at the Gap Clothing Store. He works 15 hours week. If his manager cuts all employee hours by 20%, how many hours a week will Larry work now.
Answer:
12 hours
Step-by-step explanation:
Find 20% of 15 hours
15 * 20%
15 * .2
3
Subtract this because his hours are cut
15-3
12
Samuel places a ladder against his house. The base of the ladder is 6 feet from
the house and the ladder is 10 feet long. How high above the ground does the ladder
touch the wall of the house?
Answer: 60 ft
Step-by-step explanation: If you multiply 6 x 10 = 60 and there both in feet so the answer whould be 60ft
Help y’all
Cross Sections of a Cone: Introduce possible cross sections of a cone. You need to show the shape of the cross section and how you cut the cone to get that shape. Please introduce at least THREE
Please please please please help me please
Answer:
the answer is c 123 m
bcoz perimeter of Pentagon is sum of 5 sides therefore 123/5 x. 5 = 123
Answer:
The third option; 123m
Step-by-step explanation:
The perimeter of a pentagon = 5S
5*123/5
Cancel the 5's
123m
the perimeter of a circular segment with a central angle of 144 degrees is 30 cm calculate the area of the segment to 2 decimal places
Answer:
sorry
i
dont
know
how
to
do
it
Step-by-step explanation:
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale at a 10% discount. What is the total price of 4 \frac{ 1}{2 }
2
1
pounds of apples this week at the grocery store?
Answer:
The new price for one pound of apples is $1.44
Step-by-step explanation:
A 10% discount from $1.60 is $0.16, which can be found by multiplying $1.60 by 0.10. To figure out the new price, use the equation: $1.60 - $0.16= $1.44
Hi can someone help me with these? 5 and 6 only though
Answer:
5) 2z - 15 = 9
2z.=9+15
2z =24
z =12
6) 4x-2 = 62°
4x=62°+2°
4x=64°
x=16
Step-by-step explanation:
5).2z-15=9 6).(4x-2°)=62°
2z=9+15 4x=62°+2°
2z=24 4x=64°
z=12 x=16
A ramp 28 ft long rises to a platform. The bottom of the platform is 17 ft from the foot of the ramp. Find x, the angle of elevation of the ramp. Round your
answer to the nearest tenth of a degree.
Answer:
Step-by-step explanation:
PLEASE HELPPPPPP Meeeeeee hurrry
Answer: Choice C
1, 3, 6, 8, 10, 12, 13, 13, 16, 18, 19
===========================================================
Explanation:
For each answer choice, there are n = 11 numbers mentioned.
The median will be at slot n/2 = 11/2 = 5.5 = 6, so there are 5 values below the median and 5 values above it. In total, we have 5+1+5 = 11 items overall.
The vertical bar in the box plot represents the median's location. It's at 12, so "12" must be in slot 6 in the answer.
Based on this alone, the answer is between choice A or choice C. These two answers are nearly identical except for one thing: the max for choice A is 20 while the max for choice C is 19.
The answer is choice C because the boxplot shown has the tip of the right whisker at 19, and not 20.
Side note: the data values must be sorted before you can find the median. Luckily, for each answer choice, the values are already sorted for us.
Answer:
It would be Choice C
Step-by-step explanation:
i needs help plzzzzzzzz
pyramid = 9x8x9
rectangle = 7x8x9
total = (pyramid+ rectangle)
length x wide x hight
plzz helpppp.........
Answer:
B) Unequal
Step-by-step explanation:
yun po yung sagot
p follow po at pa rate at heart
If a chair costs 734 dollars and I give it to my friend for 823 dollars how much is my profit as a percentage
Answer:
[tex]X=12.125\%[/tex]
Step-by-step explanation:
From the question we are told that:
Cost Price [tex]CP=734[/tex]
Sale Price [tex]SP=823[/tex]
Generally the equation for Profit P is mathematically given by
[tex]Profit=SP-CP[/tex]
[tex]P=823-734[/tex]
[tex]P=89[/tex]
Therefore as a percentage
Percentage Profit X is given as
[tex]X=\frac{89}{734}*100[/tex]
[tex]X=12.125\%[/tex]
Given 1x) = 10-2x, find f(7).
Step-by-step explanation:
Given that,
f(x) = 10 - 2xWe are asked to calculate the value of f(7).
Substitute the value of x as 7 in the polynomial to find the value of f(7).
→ f(7) = 10 - 2(7)
→ f(7) = 10 - 14
→ f(7) = -4
Therefore, –4 is the required answer.
Evaluate the function requested. Write your answer as a fraction in lowest terms. Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 39, adjacent A C is 36, Opposite B C is 15. Find tan A.
Answer:
tanA = [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{36}[/tex] = [tex]\frac{5}{12}[/tex]
if 52% = 2600 what would 100% be
Answer:
5000
Step-by-step explanation:
[tex] \frac{52}{100} = \frac{2600}{x} \\ x = 5000[/tex]
Question 9 of 10
Which polynomial represents the difference below?
(8x2 +9) - (3x2 + 2x + 5)
Step-by-step explanation:
= (8x² + 9) - (3x² + 2x + 5)
= 8x² + 9 - 3x² - 2x - 5
= 5x² - 2x + 4
Find the volume of the solid. Round your answer to the nearest hundredth.
Answer: 27.6
Step-by-step explanation:
tan 36 = 1/x
x =1/ tan 36 x = 1.38 which is your apothem
area of pentagon = 5x2x1.38/2 = 6.9
now do 6.9 x 4 = 27.6
The volume of the solid is 27.52 cubic yards
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure is a pentagonal prism
The base length of prism is 2yd
The height of prism is 4 yd
Volume of pentagonal prism V = 1/4 √(5(5+2√5))a²h
a is the base length and h is height
V = 1/4 √(5(5+2√5))4×4
V=27.52
Hence, the volume of the solid is 27.52 cubic yards
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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Suppose y varies directly with x, and y = 45 when x = 3. What is the value of y when x = -6?
Answer:
y=-90
Step-by-step explanation:
y = kx
45 = k 3
k = 15
~~~~~~~~~~~~
y = 15*-6
y=-90
Answer:
36
We should write a formula for their relationship:
Y = x+42. <- this is what a direct varieation is I believe.
So, when x is -6, y is +42 aka 36
Of the five horses in a race, Alfie finished 3 lengths ahead of Charlie, flo finished 5 lengths ahead of dolly, Alfie finished 4 lengths behind Bobby and dolly finished 4 lengths behind Alfie. What is the finishing position of flo
Answer:
With the information provided, we have to assume it was Rob, in the order Rob, Henry, Charles, Dale.
However, we don't know if there were other people in the race that were not mentioned, so we can only say he came in first of those four people.
Universal Studios is looking to expand in Ontario. The new theme park will be located equidistant to
Newmarket, N (2,8), Markham, M (7,3) and Vaughan, V (-2, 0). Determine the location of the new
theme park if it is located at the point of intersection of the perpendicular bisectors.
===============================================
Explanation:
For now, we're only going to consider Newmarket and Markham, which are points N and M respectively.
Let's find the slope of line NM through use of the slope formula.
m = (y2-y1)/(x2-x1)
m = (3-8)/(7-2)
m = -5/5
m = -1
Line NM has a slope of -1. Its perpendicular slope is +1 or just 1.
Rule: If the slopes multiply to -1, then the lines are perpendicular.
Or you can apply the negative reciprocal rule to go from -1 to 1.
We'll keep this perpendicular slope in mind for later.
----------------
Now let's find the midpoint of points N and M.
Add up the x coordinates and divide by 2: (x1+x2)/2 = (2+7)/2 = 4.5
Do the same for the y coordinates: (y1+y2)/2 = (8+3)/2 = 5.5
The midpoint of N and M is at (4.5, 5.5)
The perpendicular line must go through these two points. I'm going to skip a few steps here, but basically we go from y = mx+b to y = x+1 after plugging in those x,y values and the perpendicular m we found earlier.
--------------------
In short, the perpendicular bisector for line segment NM is the equation y = x+1.
If you follow the same steps as the previous two sections, but you apply them for points M and V instead, then you should find that the perpendicular bisector is y = -3x+9. I'm skipping steps here as well.
----------------------
At this point, we have the system of equations
[tex]\begin{cases}y = x+1\\y = -3x+9\end{cases}[/tex]
Let's use substitution to solve for x and y
y = x+1
-3x+9 = x+1
-3x-x = 1-9
-4x = -8
x = -8/(-4)
x = 2
y = x+1
y = 2+1
y = 3
So together, x = 2 and y = 3 pair up to get the ordered pair solution (x,y) = (2,3)
This is the location where the theme park should be placed. Let's say that C = (2,3). I'm using C for center.
You can use the distance formula to confirm that segments CN, CM and CV are all the same length, which would verify that point C is equidistant from all the other points. Furthermore, it means that points N, M and V are all on the same circle centered at C.
I know it says not to use a graph, but it still helps to see what's going on. Also, it's a handy way to confirm the answer. I used GeoGebra to make the graph. See the diagram below.
Side note: you only need 2 perpendicular bisectors to find point C. You could use three, but that's overkill since they all intersect at the same location.
13 subtracted from a number is at most 10
Step-by-step explanation:
[tex]13 - x \leqslant 10[/tex]
[tex]3 \leqslant x[/tex]
Please solve the following equation. WILL MARK BRAINLIEST AND NO RUBBISH LINKS OR ANSWERS. Thank you!
38x-12y = (6+2n)x + (4-n)y
Answer:
38 X -12y= (6+2n)x t(4-7) y
38 X-12y = 6 X +2nx + 4 y -7y
38x - 12 Y = 6x + 2nx -3y
32x -9y = 2nx
nx= 16x -4.5y
Answer:
n=16
Step-by-step explanation:
38=6+2n
2n=32
n=16
OR
-12=4-n
-n=-16
n=16