Answer:
-15
Step-by-step explanation: the only numbers that can be used under a 0 is negative and since its colder it goes down -15+0 is -15
Johnny is now 30% older than his sister Sarah. If Sarah is now 12 years old, how old is Johnny
Answer:
15.6 years old
Step-by-step explanation:
12 x 1.3 = 15.6
Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.
Answer:
Vertical : Angles 1 & 4 Supplementary: 5 & 6
Step-by-step explanation:
Vertical angels are angles that have the same measure that are opposites of each other (1 & 4) and supplementary angles are 2 angles that equal 180 degrees that are right next to each other or right above each other (5 & 6) (3 & 5)
if cos theta + sin theta = root 2 cos thetha prove that cos theta - sin theta = root 2 sin theta
Answer:
We have:
If:
Cos(θ) + Sin(θ) = √2*cos(θ)
We want to prove that:
Cos(θ) - Sin(θ) = √2*Sin(θ)
Well, let's start with the first relation:
Cos(θ) + Sin(θ) = √2*cos(θ)
Now we can subtract 2*Sin(θ) and we will get:
Cos(θ) + Sin(θ) - 2*Sin(θ) = √2*cos(θ) - 2*sin(θ)
Cos(θ) - Sin(θ) = √2*cos(θ) - 2*sin(θ)
Now, we also can rewrite the first equation as:
Cos(θ) + Sin(θ) = √2*cos(θ)
Cos(θ) - √2*cos(θ) = - Sin(θ)
Cos(θ)*( 1 - √2) = -Sin(θ)
Cos(θ) = -Sin(θ)/( 1 - √2) = Sin(θ)/(- 1 + √2)
We can replace this in the right side of theequation:
Cos(θ) - Sin(θ) = √2*cos(θ) - 2*sin(θ)
Cos(θ) - Sin(θ) = √2* Sin(θ)/(- 1 + √2) - 2*sin(θ)
Cos(θ) - Sin(θ) = (√2/(- 1 + √2) - 2)*Sin(θ)
Now we have this:
√2/(- 1 + √2)) - 2 = a
if we multiply all by (-1 + √2) we get:
√2 - 2*(-1 + √2) = a*(-1 + √2)
√2 + 2 - 2*√2 = a*(-1 + √2)
2 - √2 = a*(-1 + √2)
√2*(√2 - 1) = a*(-1 + √2)
√2*(√2 - 1)/(-1 + √2) = a
√2 = a
Then:
√2/(- 1 + √2)) - 2 = √2
If we replace this in the equation:
Cos(θ) - Sin(θ) = (√2/(- 1 + √2) - 2)*Sin(θ)
We get:
Cos(θ) - Sin(θ) = √2*Sin(θ)
Which is the thing we wanted to get.
Please find attached herewith the solution of your question.
If you have any query, feel free to ask.
Please help ASAP!!!!!!
Answer:
what are the answer choices. List them out and do the process of elimination and we could go from there ig
Step-by-step explanation:
11. Which of the following statements contains a quotient?
O A.76 = 42
OB. 42 - 6 = 7
O C. 7 + 6 = 13
OD.7 - 6 = 1
a function whose graph forms a straight line
Answer:
linear
Step-by-step explanation:
brainliest please?
° • .°• ✯
★ * ° °·
. • ° ★ • ☄
▁▂▃▄▅▆▇▇▆▅▄▃▁▂
HELP SOMEONE PLEASE !!!
Answer:
I dont know
Step-by-step explanation:
Pleaseee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
perimeter of any figure can be define the sum of all sides.
perimeter of the figure=33.4ft + 6.5ft + 9ft + 9ft + 9ft + 6.5ft + 7.7ft + 16.7ft
perimeter of the figure=97.8 ft.
A parallelogram has 2 congruent consecutive sides then it is a square. true or false
Answer:
true
Step-by-step explanation:
a parallelogram has 2 congruent consecutive sides then it is a square
PLS HELP MEEEEE REEEEEEE
Answer:
$954.78
Step-by-step explanation:
Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.
879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)
A car travel 140 miles in 3 hours (with a constant speed). How far can it travel in 7 hours (with the same speed)?
Answer:
326.666miles
Step-by-step explanation:
v=distance/time (v=d/t)
d=140 miles
t=3hrs
v=d/t, v=140/3, v= 46.666mph
v=46.666mph
t=7hrs
d=?
v=d/t, d=vt, d=46.666mph x 7hrs, d= 326.666miles
(1,5) (-1, 1) translation
whats the hcf of 108 and 308
Answer:
i think this should help
A ladder is 6 m long.
The ladder is placed on horizontal ground, resting against a vertical wall.
The instructions for using the ladder say that the bottom of the ladder must not be closer than 1.5 m
from the bottom of the wall.
How far up the wall can the ladder reach?
Answer:
5.8 m
Step-by-step explanation:
Using the Pythagorean Theorem (a² + b² = c²) you get the equation a² + 1.5² = 6² (or 1.5² + b² = 6²). Then you solve from there and rounding to the first decimal place you get 5.8
The ladder can reach a height of 5.6 meters.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a ladder that is resting against a wall.
Now, assume that the ladder can reach a height of [x] meters. Then when the bottom is at a horizontal distance of 1.5 meters, then we will get a right angled triangle with base = 1.5 m and hypotenuse = 6m. So, using Pythagoras theorem, we can write -
(6 x 6) = x² + (1.5 x 1.5)
x² = (6 x 6) - (1.5 x 1.5)
x² = 7.5 x 4.5
x² = 33.75
x = 5.6 meters
Therefore, the ladder can reach a height of 5.6 meters.
To solve more questions on Equation Modelling, visit the link below -
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In ΔLMN, the measure of ∠N=90°, NL = 6.8 feet, and LM = 9.4 feet. Find the measure of ∠L to the nearest tenth of a degree.
Answer:
L=43.6637≈43.7∘
Step-by-step explanation:
Answer:
43.7
Step-by-step explanation:
SOH-CAH-TOA
cosL= adjacent/hypotenuse=6.8/9.4
cosL=6.8/9.4
L=[tex]cos^{-1}[/tex](6.8/9.4)
L=43.6637≈43.[tex]7^{o\\}[/tex]
5.2.PS-14
Find 3 ratios that are equivalent to the given ratio.
10:16
Step-by-step explanation:
three ratios equivalent to 10:16
5:8, 20:32, 100:160
GIVING BRAINLIEST QUICK
Answer:
2
Step-by-step explanation: 2+5=7
Answer:
Step-by-step explanation:
For the top (cyan/blue)equation x would = 2
For the bottom (orange/red) it could be any. Only you can determine which order you want it but 7 must be the first number!
Have a good day!
Let △ABC be a right triangle with m∠C = 90°. Given tan ∠B = 1, find tan ∠A.
The value of tan∠A form the right angled triangle ABC is 1.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Given that △ABC be a right triangle with m∠C = 90°. Also, tan∠B = 1. Hence:
tan∠A = (tan∠B)⁻¹ = 1
The value of tan∠A form the right angled triangle ABC is 1.
Find out more on Trigonometric ratio at: https://brainly.com/question/4326804
Find the value of sin theta, if tan theta = 4; 180 < theta <270.
a. -4 (square root)17/ 17
b. -4
c. -1/4
d. (square root)7/ 4
Please select the best answer from the choices provided
Ο Α
O B
О С
O D
Answer: You can use the identity THE PICTURE THAT I PUT THERE
The sign is negative because the angle is in the 3rd quadrant. This corresponds to ... a. -(4√17)/17
value of sin ( theta ) = -4 (square root of ) 17 / 17
What are Trigonometry Functions ?
Real functions which relate to an angle of a right angled triangle to ratios of two side length.
Given
tan (theta) = 4`
sin(theta) = tan (theta ) / (1 + tan ^ theta)^(1/2)
sin(theta) = 4/(1+(4)^2)^(1/2)
= 4/ (17)^ (1/2)
multiplying and dividing by 17 ^ (1/2), we get
= -4 (17) ^ (1/2) / 17 ( negative since angle is in third quadrant and tan is negative in that quadrant )
option a) -4 (square root of ) 17 / 17
Learn more about Trigonometry Functions:
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If f(x) = 5x, what is f-1 (x)?
F-1(x) = -5x
F-1(x) =-1/5x
F-1(x) =1/5x
F-1(x) = 5x
Answer:
The inverse function is y=1/5x, which is option C).
Step-by-step explanation:
y=5x
x=5y
y=x/5
y=1/5x
Answer:
C
Step-by-step explanation:
Estimation Whool has diameter 15.1 in. Whool II has diameter 12.8 in. Round the diameter of each wheel to the nearest inch. About how much forthor wil Wheell travel in one rotation? Uno 3.14 for
Wheel I will travel about in further in one rotation.
(Round to the nearest integer as needed.)
Answer:
about 6 inches
Step-by-step explanation:
No 1 goes 15x3.14 = 47.1 inches in one turn
No 2 goes 13x3.14 = 40.82 inches in one turn
47.1-40.82 = 6.28 inches
BRAINLIEST
I forgot how to tell time so maybe show work?
Answer:
1 hour 37 mins
Step-by-step explanation:
Please help with this algebra
Answer:
A
Step-by-step explanation:
ddhxhdhdnxkajsbxdjdhcch
0.6 ft.
216 in.
0.6 ft.
0.6 ft.
B
A
Given the conversion factor 17th, which has the
larger volume?
Answer:
B because of her size
I hope
To prove that VWZ~ YXZ by the SAS similarity
theorem, which other sides or angles should be used?
To prove that △VWZ ~ △YXZ by SAS theorem, we must prove that two of the sides for each triangle is congruent, and the angle inbetween the sides are congruent. Depending on which side is given to you, choose the one that conforming to it.
Easton is trying to pick an outfit for the first day of school he can choose from two pairs of pants six T-shirts and two pairs of shoes how many different outfits does Easton have to choose from
Answer:
24 combinations
Step-by-step explanation:
n is an integer and - 2<n+3<4, write down the possible values of n from smallest to largest
Answer:
- 4, - 3, - 2, - 1, 0
Step-by-step explanation:
Given
- 2 < n + 3 < 4 ( subtract 3 from each interval )
- 5 < n < 1
This indicates that n ≠ - 5, 1 but all values in between, that is
n = - 4, - 3, - 2, - 1, 0 ← possible values of n
PLEASE HELP ME WITH THIS!!
World Gym has an initial fee of $100 and $50 per month. Flex Gym has an initial fee of $200 and $25 per month. How many months will it take
until you would pay the same amount to join at both gyms?
a. 4 months
b. 5 months
C. 2 months
d. 6 months
answer:
a. 4 months
step-by-step explanation:
set up an expression for each and put them equal to each otherthis is the way you can use to solve these kinds of problemsbreak down the question into partsm stands for months
world gym = 100 + 50m
flex gym = 200 + 25m
now put them equal to each other to know how many months it will take to pay the same amount to join100 + 50m = 200 + 25m
50m = 100 + 25m
25m = 100
m = 4
this means it will take 4 months to pay the same amount to joinCan someone help me find the rise over run in this?
finding measures of the numbered angles. no explanation.
