Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
Suppose triangle ABC = triangle LMN, and the side lengths of triangle ABC are as shown in the table
Side Length (cm)
AB 5.2
BC 8.4
AC 7.8
What is the longest side in triangle LMN?
A.) LM
B.)LM
C.)NL
D.)NM
The longest side i triangle LMN is NL
5/12+(-3/4) what is the answer
Answer:
-1/3
Step-by-step explanation:
Answer:
-1/3
Step-by-step explanation:
5/12+(-9/12)
5/12 - 9/12 = -4/12
-4/12 = -1/3
Alex is 70% of her weekly paycheck automatically deposited into a savings account. This week $35 is deposited. Alex wants to know the total amount of your paycheck this week.
which expression shows how to p the total amount of alex's paycheck
Answer:
Expression B
Step-by-step explanation:
70. 35
----- = -----
p. 100
Ryan is 6 years older than his sister, Naomi. The sum of their ages is 40. Find their ages.
Ryan is 23 and Naomi is 17.
Step-by-step explanation:Find the midpoint of 40. This is 40/2, or 20.
Because the difference in age is 6, but the total of the ages must add up to 40, you must also halve 6. 6/2 is 3.
Take away three and add three to 20.
20 + 3 = 23. This is Ryan's age as he is the older sibling.
20 - 3 = 17. This is Naomi's age.
Find the measure of the exterior angle.
(5x+2)
6x
90
y = 138
Step-by-step explanation:
6x + 5x +2 = 90°
11x = 90 - 2
11x = 88
x = 8
5x + 2 + y = 180
5(8) + 2 + y = 180
40 + 2 + y =180
42 + y = 180
180 - 42 = y
y = 138
evaluate 102 what is the answer
Answer:
10404
Step-by-step explanation:
Help help help please
________
[tex] \: [/tex]
[tex] \frac{2x + 8}{3} \geqslant 4[/tex]
[tex]2x + 8 \geqslant 4 \times 3[/tex]
[tex]2x + 8 \geqslant 12[/tex]
[tex]2x \geqslant 12 - 8[/tex]
[tex]2x \geqslant 4[/tex]
[tex]x \geqslant 2[/tex]
Hello there! :)
First, we have to get rid of the fraction by multiplying both sides by 3:
2x+8≥12
Now, we move all the numbers (constants) to the right:
2x≥12-8
2x≥4
Divide both sides by 2:
x≥2
Therefore, x≥2Hope it helps you!
~Just a felicitous girlie
#HaveAGreatDay
[tex]SilentNature :)[/tex]
Baker leaves his house and drives 10 miles north then 24 miles west to Tellus Science Museum. If
Baker could drive in a straight line from his house to the museum, how many miles would he save?
How many miles is the normal route?
How many miles is the straight line?
How many miles would Baker save? (Hint: subtract the two.)
Answer:
34
26
8
Step-by-step explanation:
help a sista out lol.... but plz help!!
A local pizza place has a special deal on Thursday: Buy a large one topping pizza for $12 and each order of cheesy bread is $2.50. This creates a linear equation that represents the cost of the purchase of multiple orders of cheesy bread. What would be the rate of change in this word problem?
A. 2.5
B. 1/ 2.5
C. 4.8
D. 1/4.8
Answer:
4.8
Step-by-step explana
The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length
and width of the rectangle.
Answer:
Step-by-step explanation:
The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length
and width of the rectangle.
How do you Round 245.456 to the nearest hundredth ?
Answer:
245.46
Step-by-step explanation:
the hundredth point is represented by the "5" after the decimal, it goes like this
hundred, ten, one . tenth, hundredth, thousandth
2 4 5 . 4 5 6
so when you find the point you need to round to, if the number after it, is greater than five, the "hundredth" place goes up one
I hope this makes sense
Find 40% of 60 please help i am really struggling!!!
Answer:
24 is the answer
Step-by-step explanation:
The first thing you would do is to convert from percent to decimal, divide the percent without the percent symbol by 100.Thus, 40%=40100=0.4. 40% 60 is just 0.4⋅60=2440% of 60
40/100x60
=0.4x60
=24
The product of a number and the number increased by 3 is 54. Find the two possible values the number could be.
[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]
Let the number be x.
Then, the number increased by 3 will be x + 3.
According to question,
x(x + 3) = 54
x² + 3x = 54
x² + 3x - 54 = 0
By middle term factorisation,
x² + 9x - 6x - 54 = 0
x(x + 9) - 6(x + 9) = 0
(x + 9)(x - 6) = 0
Equating to zeroes and we get,
x + 9 = 0
x = -9 (First value)
and,
x - 6 = 0
x = 6 (second value)
*HIGH SCHOOL* please help me with this
Answer:
Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.
It is given that <T=<Y and <V+<U=180 degrees
<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.
<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.
<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).
<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).
Aaliyah has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $39, before discount and tax. After the discount, and before tax, the price is $33.54. Find the percent discount.
Answer:
16.13
Step-by-step explanation:
How many solutions are there to the equation below?
4(x - 5) = 3x + 7
A. No solution
B. Infinitely many solutions
C. One solution
Answer:
C. one solution
Step-by-step explanation:
4(x - 5) = 3x + 7
4x - 20 = 3x + 7
x = 27
Which values from the given replacement set make up the solution set of the inequality?
5n>24 ; {2, 3, 4, 5, 6}
{5, 6}
{4, 5, 6}
{2, 3}
{3, 4}
Step-by-step explanation:
numbers 5 and 6 since 5 times 5 is 25 and 5 times 6 is 30, therefore both are larger than 24
Terri wrote the equation using slope-intercept form for the line that passes through the points (4, 6) and (–2, 3). Step 1: m = StartFraction 4 minus (negative 2) Over 6 minus 3 EndFraction = StartFraction 6 Over 3 EndFraction = 2 Step 2: 3 = 2 (negative 2) + b Step 3: 3 = negative 4 + b. 7 = b. Step 4: y = 2 x + 7 Which best describes Terri’s first error? In step 1, the slope of the line should be One-half. In step 2, she should have substituted the point (4, 6). In step 3, she should have subtracted 4 from both sides of the equation. In step 4, the m and b values should be switched.
Answer: terri messed up at step 2 because she did the math rong so it turned to this (image)
[the dots are the points the line had to be in ]
Answer:
sorry im late its
Step-by-step explanation:
step 1
Write the numbers below in order
from least to greatest.
1.4 10.4 1.45 1.54 10.54
Answer:
Step-by-step explanation: 1.4 - 1.45 - 1.54 - 10.4 - 10.54
Least to greatest
you have rs 2400 in your account nd he intrest rate is 5 persent after all how many years you have earn 240 rs
Answer:
t =2 years
Step-by-step explanation:
P = 2400
Rate of interest = r = 5 %
I = Interest = 240
Prt = I
[tex]\dfrac{2400*5*t}{100}=240\\\\\\24*5*t=240\\\\t= \dfrac{240}{24*5}\\\\[/tex]
t = 2 years
True or false
You can find equivalent ratios by
multiplying or dividing each term of the ratio by the same
number.
Answer:
To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions. Let's look at the ratio 32, the ratio of the number of stars to the number of circles. Multiply both the numerator and denominator by 2.
Step-by-step explanation:
To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions. Let's look at the ratio 32, the ratio of the number of stars to the number of circles. Multiply both the numerator and denominator by 2.
Sean has a box of pens. The box contains 6 blue pens, 8 black pens and 3 red pens. Some more blue pens are added to the box. The probability of selecting a blue pen is now ½. How many blue pens were added to the box?
Answer:
5
Step-by-step explanation:
Well, since the probability of blue pens is 1/2 you'll have to add the number of pens that is not blue. So that'll be 8+3 which equals 11. We currently have 6 blue pens and we need to add up the pens which will get 11. 11-6 equals 5, and that is the number of pens you will have to add.
Also, I'm not an expert at this so please check the work before you answer !
Solve the inequality and graph the solution on the line provided.
−18+8x ≥ -50
Answer:
The graph i cant explain but go on mw and look up -18+8x -50 n tap the arrow and then push graph
Step-by-step explanation:
Inequality Form:
x≥−4
solve pls brainliest
Answer:
Well mixed number is something with a whole.
Remeber a decimal goes by the place value of tenths right away.
Now if you follow along 1.43 is basically saying 1 and 43 hundreths
Becuase normal place value go
tenths
Hundreths
thousandths
ten thousandths
hundred thousandths
millionth
etc.
and that Saying 1 43/100
So your mixed number is 1 43/100
Your improper would jsut be
Multiplying the denominator with the whole number
Then add that product to the numerator, keep the denominator the same
so 143/100
The table below represents a proportional relationship.
х y
4 12
7 21
10 30
13 39
Answer:
y = 3x
Step-by-step explanation:
if x=4 , y = 3 × 4 = 12 ✓
if x=7 , y = 3 × 7 = 21 ✓
hello! someone please answer this. this is due tomorrow, Monday and I don't get any of it. ty!
find the quotient of [tex]\frac{(x^{3} - 2x^{2} + 6x + 3)}{ (x - 3)}[/tex] using long division
What are the coordinates of the point shown on the
coordinate plane?
Answer:
The coordinate is (5,4)
the x=5
the y=4
4 and 5
Step-by-step explanation:
on y axis it is 4
while on x axis it is 5
based on the point
Refer to the photo :D
well, we know the ceiling is 6+2/3 high, and Eduardo has 4+1/2 yards only, how much more does he need, well, is simply their difference, let's firstly convert the mixed fractions to improper fractions and then subtract.
[tex]\stackrel{mixed}{6\frac{2}{3}}\implies \cfrac{6\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{20}{3}} ~\hfill \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{20}{3}-\cfrac{9}{2}\implies \stackrel{using ~~\stackrel{LCD}{6}}{\cfrac{(2\cdot 20)-(3\cdot 9)}{6}}\implies \cfrac{40-27}{6}\implies \cfrac{13}{6}\implies\blacktriangleright 2\frac{1}{6} \blacktriangleleft[/tex]
The nurses of a local hospital pledged of the following donations, in pesos, to the Philippine Red Cross.
50
100
75
80
40
60
50
20
25
30
35
Find the:
(a) range ________
Answer:
50595995553827272727273333338228882828383838383
