Answer:
The third exterior angle is [tex]103^o[/tex]
Step-by-step explanation:
Given
[tex]\theta = 158^o[/tex]
[tex]\alpha = 99^o[/tex]
Required
The third exterior angle [tex](\beta)[/tex]
The exterior angles of a triangle add up to 360 degrees.
So:
[tex]\theta + \alpha + \beta = 360^o[/tex]
Make [tex]\beta[/tex] the subject
[tex]\beta = 360^o - (\theta + \alpha)[/tex]
Substitute known values
[tex]\beta = 360^o - (158^o + 99^o)[/tex]
[tex]\beta = 103^o[/tex]
Sin theta = 9/15. Find tan theta. A. 15/12. B. 9/12 C. 12/15 D. 12/9
Answer:
B
Step-by-step explanation:
[tex]Sin \ theta = \frac{9}{15}=\frac{Opposite \ side}{hypotenuse}\\[/tex]
Pythagorean theorem,
Adjacent side ² = hypotenuse² - opposite side²
= 15² - 9²
= 225 - 81
= 144
Adjacent side = √144 = √(12*12) = 12
[tex]Tan \ theta = \frac{opposite \ side}{adjacent \ side}= \frac{9}{12}[/tex]
what is bigger 35% or 2/5
Answer:
35% = .35
2/5 = 4/10 = .4
.4 >.35
Step-by-step explanation:
x3 + (y +z) factorize
find the equation of the line passing through (-4,1) and perpendicular to the line y=x/4+2
Answer:
y = -4x
Step-by-step explanation:
First, for an equation of form y=mx+b, m represents the slope. Therefore, for y=x/4+2 = (1/4)*x + 2, 1/4 is the slope. For perpendicular lines, the negative reciprocal of the slope is the slope of the line perpendicular to it. Therefore, the slope of our line is the negative reciprocal of 1/4.
To find the reciprocal of something, we can just divide 1 by it (another way to do this would be to flip the numerator and denominator, so 1/4 turns into 4/1). Therefore, 1/(1/4) = (1/1)/(1/4) = (1/1) * (4/1) = 4. The negative reciprocal is thus -4.
Our equation is therefore of form y = (-4) x + b. To solve for b, we can plug in the point given and solve for b in our equation. We have
-4 = (-4) * 1 + b
-4 = -4 + b
add 4 to both sides to isolate the b
0 = b
Therefore, our equation is
y= (-4)x + 0
y = -4x
I) 54,2 X 94= ?
J) 36,39 X 28= ?
K) 43,73 X 74,4= ?
(por favor conta armada)
Answer:
I) 54.2 X 94 = 5094.8
J) 36.39 X 28 = 1018.92
K) 43.73 X 74.4 = 3253.512
Which equation is equivalent to
= 27x+2?
3*-3-3x+2
3* - 33x+6
3-*- 33x+2
3-* - 33x+6
Answer:
D
Step-by-step explanation:
(1/3)^x=27^(x+2)
3^(-x)=3^(3(x+2))
3^(-x)=3^(3x+6)
solve this questions
Answer:
a) Sale Price; Rs. 800 Discount rate: 20%
b) Sale Price; Rs. 4000 Discount rate: 20%
c) Sale Price; Rs. 6000 Discount rate: 35%
Step-by-step explanation:
1. Approach
In these problems, one is given a list of original prices and the amount of price taken off during a discount. One has to find the sale price and the rate of discount. The easiest way to find the sale price is to subtract the discount price from the original price. The general train of thought to do this can be found in the following formula:
[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]
One is also asked to find the rate of discount. Use the following proportion format to do so:
[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]
Substitute each of the values in the given problem into the equation and solve for the price.
2. Part A
Original price: 1000
Discount: 200
1. Sale price
Formula[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve,[tex]1000-200=(sale\ price)[/tex][tex]\\800 = sale\ price[/tex]2. Discount rate
Formula[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]Substitute, simplify, and solve[tex]\frac{200}{1000}=\frac{percent}{100}[/tex][tex]\frac{1}{5}=\frac{percent}{100}[/tex][tex](5)(percent)=1(100)[/tex][tex]percent=20[/tex]3. Part B
Original price: 5000
Discount: 1000
1. Sale price
Formula,[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve[tex]5000-1000=(sale\ price)[/tex][tex]4000=(sale\ price)[/tex]2. Discount rate
Formula[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]Substitute, simplify, and solve[tex]\frac{1000}{5000}=\frac{percent}{100}[/tex][tex]\frac{1}{5}=\frac{percent}{100}[/tex][tex]5(percent)=1(100)[/tex][tex]percent=20[/tex]4. Part C
Original price: 8000
Discount: 2000
1. Sale price
Formula[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve[tex]8000-2000=(sale\ price)[/tex][tex]6000=(sale\ price)[/tex]2. Discount rate
Formula,[tex]\frac{discount}{amount}=\frac{percent}{100}[/tex]Substitute, simplify and solve,[tex]\frac{2000}{8000}=\frac{percent}{100}[/tex][tex]\frac{1}{4}=\frac{percent}{100}[/tex][tex]4(percent)=1(100)[/tex][tex]percent=25[/tex]I rlly need help like pleasee
The parallelogram in Quadrant III is the image of the parallelogram in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?
A.) 90 B.) 180 C.) 270 D.) 360
Answer:
A. 90
Step-by-step explanation:
Correct on EDGE
Answer:
maybe 90
Step-by-step explanation:
Find the angle between the hands of a clock at 5:15
Answer:
67.5
Step-by-step explanation:
Answer:
the hour hand and minute hand on a 12-hour clock at 5:15. Again, the two angles created by the hour hand and minute hand at five-fifteen are 292.5 degrees and 67.5 degrees.
Step-by-step explanation:
Helpppp pleaseeee !!!!!!
Answer:
149 inches squared
Step-by-step explanation:
top rectangle: 25 * 7 = 175
second rectangle: 8 * (25 - 17) = 8^2 = 64
triangle in bottom right: 1/2 * (13 - 8) * (15 - 11) = 10
175 + 64 + 10 = 149 sq in
hopefully got this right!
Instructions: Find the measure of the indicated angle to the nearest
degree.
19
?
8
=
Answer:
? ≈ 65°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{19}[/tex] , then
? = [tex]cos^{-1}[/tex] ([tex]\frac{8}{19}[/tex] ) ≈ 65° ( to the nearest degree )
The base of a triangular prism has an area of 35 m2. This triangular prism has a height of 7 m. What is the volume of this triangular prism?
Answer:
The volume is 245 m^2
Step-by-step explanation:
the volume formula is aways base time height, or V = bh
so plot the number in, 35 x 7 = 245
In an experiment on the effects of caffeine on the alertness of college students, student volunteers are randomly assigned to two groups. One group is given caffeinated coffee while the other group is given decaffeinated coffee. All participants then play a video game to assess their mental acuity, measured as their final score on the video game. In this study, the group that is given caffeinated coffee is called the:
Answer:
Experimental group
Step-by-step explanation:
During the process of a research study whereby the participants or subject are divided into groups such that some are exposed to the independent variable or treatment while the other subjects are used as control for the study, The group of participants which are exposed or given the actual treatment or independent procedure are called the experimental group. In the scenario above, experimental group are the group of students which were given caffeinated coffee which is the independent variable in this case.
What is the domain of the function RX) = x2 + 3x + 5?
OA
all whole numbers
OB. all positive real numbers
Ос.
all Integers
OD. all real numbers
Answer:
all real numbers
Step-by-step explanation:
The domain is the numbers that the input, x, can take
We can put in any real number for x since there are no restrictions on the input
Answer:
option D is domain
Step-by-step explanation:
because no change is happen in range by keeping any real number
GEOEMTRY- PLEASE HELP , solve for x
Answer:
[tex]17x-23=1/2\times81[/tex]
[tex]17x-23=40.5[/tex]
[tex]17x=40.5+23[/tex]
[tex]17x=63.5[/tex]
[tex]x=63.5/17[/tex]
[tex]x=3.73[/tex]
OAmalOHopeO
REPLY ASAP PLEASE!!!
Answer:
The answer is c.
Step-by-step explanation:
A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer ?
Answer: Its B i just took the test
Step-by-step explanation:
Find the value of x. Round to the nearest tenth.
Answer:
x=400 m is the correct answer
v2 = u? + 2as
u = 12
a = -3
S =
= 18
(a) Work out a value of v.
Answer:
6√7 m/s
Step-by-step explanation:
Given,
u = 12
a = - 3
s = 18
v^2 = u^2 - 2as
= 12^2 - 2 ( - 3 ) ( 18 )
= 144 + 108
v^2 = 252
v = √252
v = 6√7 m/s
Step-by-step explanation:
hope it helps you...:)....
The value of -9(square root) is not-3 because
O A. (3)2 = -9
O B. (-9)2 = -3
O c. 329
D. 92 + -3
Answer:
A) [tex](-3)^{2} \neq -9[/tex]
Step-by-step explanation:
Answer:
A) is correct
Step-by-step explanation:
(-3)**2 = 9, not equal -9
The issue is negative numbers can only be imaginary numbers. The sq root of -9 would be 3i, where i is defined as the sq root of -1.
{24a - 18b} =24a−18b I neeed help
0
(24a - 18b) = 24a - 18b
24a - 18b = 24a - 18b
collect like terms
24a - 24a = -18b + 18b
0 = 0
Number 14 please and thank you so much
Answer:
0.13
Step-by-step explanation:
N(s)=310+276+155+445
=1186
P=155:1186
=0.13
question
Instructions: Determine whether the following polygons are similar. If yes, type in
the similarity statement and scale factor. If no, type 'None' in the blanks.
L
35
M
х
w 18
50°
631
63
10
10
50°
35 N
o
Z
18
Y
Similar:
Answer:
No, the polygons aren't similar since they don't have a constant scale factor.
determine the dimension of cube when the volume is 1.468mcube
Answer:
1.137 m
Step-by-step explanation:
The volume of a cube is given as the cube of the side. A cube is a 3 dimensional shape with equal sides and 6 faces. If the volume is V and the side is s then
V = s * s * s
Given that the volume is 1.468mcube then
s^3 = 1.468
s = cube root of 1.468
= 1.137 m
the Marked price of a book is rupees 160 if it is sold at 15% discount find the discount amount and selling price
answer is 15%
Step-by-step explanation:
cost prices of book =160
selling prices of book =136
now,rate of discount =loss% (as discount only leads to some kind of loss)
so CP>SP
so loss=CP-SP =160-136=24
loss%= (loss/CP)÷100
=(24/160)÷100
=15%
so rate of discount =15%
PLEASE HELP WITH BOTH SEPRATE QUESTIONS
1 Your mom asks you to take the family car to the gas station and put no more than 8 gallons of gas in it. Write an inequality for this scenario.
2Translate this statement into an inequality.
A number less than 5 is greater than 7
Answer:
(1) question no.1
x<=8
(2) question no.2
5<x<7
Answer:
1. 8≥g
2. A-5≥7
Step-by-step explanation:
Instructions: Find the missing side of the triangle.
24 and 7
If 24 and 7 are the lengths of the legs of the right triangle, the missing side, which is the hypotenuse, has a length of 25.
To find the missing side of the triangle, we need more information about the triangle. Specifically, we need to know which side is missing: the hypotenuse (longest side) or one of the legs.
If 24 and 7 are the lengths of the legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
Let's label the hypotenuse as 'c' and the legs as 'a' and 'b'.
Using the Pythagorean theorem:
[tex]c^2 = a^2 + b^2[/tex]
Substituting the given values:
[tex]c^2 = 24^2 + 7^2\\c^2 = 576 + 49\\c^2 = 625[/tex]
Taking the square root of both sides:
c = √625
c = 25
Therefore, if 24 and 7 are the lengths of the legs of the right triangle, the missing side, which is the hypotenuse, has a length of 25.
To know more about lengths , here
https://brainly.com/question/28322552
#SPJ2
Which of the following is a geometric sequence?
ES EL PUNTO A. RPBHCGNDGE
Marcus has $7000 to invest in a savings account for 3 years. The bank offers two investment options. Option A pays 5 % simple interest per year and Option B pays 4% compound interest per year. (a) How much interest would Marcus earn after 3 years with Option A?
Answer:
$ 630
Step-by-step explanation:
One is given the following information:
$7000 was invested in a savings accountOption A: 3% simple interest annuallyOption B: 4% interest compounded annuallyThe problem asks one to find out the amount of interest earned after 3 years of going with option A. The easiest way to do such is to form an equation. The general equation for simple interest is the following:
A * 0.01P(d) = I
Where the parameters indicate the following values,
A = amount invested
P = interest rate
d = time invested (years)
I = amount earned in the form of interest
Substitute the given values into the formula, then simplify to evaluate,
A * 0.01P(d) = I
7000 * 0.01(3)(3) = I
7000 * 0.01(9) = I
7000 * 0.09 = I
630 = I
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
Explanation: I would use the substitution method for this system
because one of the variables, x, is already isolated in the first equation.
Since our first equation states that x = 12 - y, 12 - y can be substituted
in for x in the second equation which becomes 2(12 - y) + 3y = 29.
Now we can solve this equation by first distributing the 2
through the parentheses to get 24 - 2y + 3y = 29 and you
should be able to easily finish solving from here to get y = 5.
Now substitute a 5 back in for the first equation to get
x = 12 - (5) or x = 7 which means that our solution is (7, 5).
