Answers
Answer:
x=13.38
Step-by-step explanation:
Hi there!
We are given triangle ABC, with m<A=45°, CA=13, and BA=x
We want to find the value of x
First, let's find out which side is the adjacent, opposite, and hypotenuse
Using <A as the reference angle:
BC is the opposite
CA is the adjacent
BA is the hypotenuse
Recall the 3 most common trigonometric functions:
Sine is [tex]\frac{opposite}{hypotenuse}[/tex]
Cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]
Tangent is [tex]\frac{opposite}{adjacent}[/tex]
Since we know the values of both the adjacent and the hypotenuse, let's use the cosine of <A
In reference to <A, the ratio will be:
cos(<A)=[tex]\frac{CA}{BA}[/tex]
Substituting all known values gives:
cos(45)=[tex]\frac{13}{x}[/tex]
Now multiply both sides by x
cos(45)x=13
Divide both sides by cos(45)
x=[tex]\frac{13}{cos(45)}[/tex]
Now plug [tex]\frac{13}{cos(45)}[/tex] into your calculator. Make sure that the calculator is in degree mode
x≈13.38
Hope this helps!
Related Questions
Help me solve this problem, i already did it but i want to be sure it’s right
Answers
Answer:
Would be C
Step-by-step explanation:
Because they need slope intercept
PLEASE HELP ILL GIVE BRAINLIEST
Matt ate 2005 calories. The next day he ate 1920 calories. What is the percent change in the number of calories from day 1 to day 2?
Answers
Answer:
85%
Step-by-step explanation:
Determine if the given set of equations has 1 solution, no solution or infinitely many solutions. Include your reasoning for your answer.
y−2x=2
4y−8x=8
Answers
because it simplifies to y=2x+2 which is one solution
4y-8x=8 has one solution
because it simplifies to y=2x+2 which is one solution
hope this helps
Answer:
Infinitely many solutionsStep-by-step explanation:
Given system:
y - 2x = 24y - 8x = 8Divide both sides of the second equation:
4y/4 - 8x/4 = 8/4y - 2x = 2We got both equations same.
It means the lines representing the equations overlap, the system has infinitely many solutions.
It takes 40 cents worth of meat to make 2 sandwiches. What is the cost of the meat for 20 sandwiches?
Make a Selection:
A. $2.00
B. $3.20
C. $1.60
D. $4.00
Answers
Answer:
D. 4.00
$4.00 will be your cost for meat for 20 sandwiches.
Help help help help help help
Answers
You need to take each point and multiply the numbers by 5.
so the first one would be (-3,-1) multiplied by 5.
-3 * 5 = -15
-1 * 5 = -5
so your new point is (-15,-5)
hope this helped!
Work out Simplify if possible.
Answers
Answer:
a.1×9/1=9
b.3×5/1=15 i think this would be the answer
Answer:
a) 9
b) 15
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Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm
Answers
Answer:
174 cm
Step-by-step explanation:
1.83 m to cm is 183.
So, 183 cm - 9 cm = 174cm
Hope you understand ^^
Answer:
174 cm
Step-by-step explanation:
1 meter is equal to 100 centimeter so 1.83m times 100 is equal to 183cm. so 183 cm-9cm=174 cm
Please help me ASAP please I need help
Answers
Answer:
147°
Step-by-step explanation:
Solving for x
To make a straight line the angles have to have a sum of 190. So 180°-33° would equal 147°
Answer:
x = 147°
Step-by-step explanation:
A line is 180°
180 - 33 = 147
Find the half-life, in days, of Co-60. Round your
answer to the nearest tenth.
Cobalt-60 is used in the treament of
cancer. A sample contains 8 grams of Co-
60 where k = 0.1308.
Enter the correct answer.
N = Noe -kt
DONE
No = initial mass (at time t = 0)
DOO
(อ
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days
Answers
Answer:5.3
Step-by-step explanation:
Why
Divide both sides by 8
4=8e ^-0.1308t
0.5=e^-0.1308t
Take log of both sides
In0.5=Ine^-0.1308t
Apply In e^x=x
In0.5=-0.1308
Divide both sides by -0.1308 to solve for t
t=5.3
There are 12 girls and 8 boys in Ms. Crabapple's class. If 25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant, what percent of the entire class is going on the field trip?
Answers
Answer:
25%
Step-by-step explanation:
25% of 12 is 3
25% of 8 is 2
5 people out of 20 people
5/20 = 25%
25% percent of the entire class is going on the field trip
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
There are 12 girls and 8 boys in Ms. Crabapple's class.
The total number of students
12+8=20
25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant,
25% of the girls =0.25×12=3
25% of the boys =0.25×8=2
So the total number of students went to field trip
3+2=5
So out of 20 student, 5 students went to the field trip.
Which means 25% of the entire class is going on the field trip
Hence, 25% percent of the entire class is going on the field trip
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Martin is buying inkjet cartridges that cost $22 each. He has $100 to pay for the cartridges.
Which number line shows the number of cartridges Martin can buy?
Answers
Answer: C
Step-by-step explanation:
lets think about it
you can totally buy 0 ink cartridges. you can just be like "nope ok im gone, no ink today, the prices are so high.. maybe another time. maybe ill use the school printer or smth"
so that ELIMINATES B.
and now A and D are strange because how exactly are we going to buy half of an ink cartridge? or a fraction of an ink cartridge? that simply isnt feasible
so this eliminates A and D
now C is the best because you can buy 0, 1, 2, 3, 4 ink cartridges. but not 5 because that is $110 and Martin dont got that money, am i right fellas?
Answer:
The Answer Is C
Step-by-step explanation:
What is 20% of $1575.00
Answers
step:
20% = 20/100
of = ×
20/100 × $1575.00
answer : $315
Step:
20% = 20/100
of = ×
20/100 × $1575.00
Answer : $315
you have to estimate I need help please
Answers
Please help me ASAP
Answers
Step-by-step explanation:
a= 3×(-2)+3=-6+3=3
b=3×(-1)+3=-3+3=0
c=3×1+3=3+3=6
d=2×3+3=6+3=9
-------------------------
a=3, b=0, c=6, d=9
Good work!
Please take a look at the picture.
Answers
Answer:
[tex]1 \frac{1}{12} [/tex]Step-by-step explanation:
Question:To find the value of b.Equation:[tex]b - \frac{7}{4} = - \frac{2}{3} [/tex]Solution :[tex] = > b - \frac{7}{4} = - \frac{2}{3} [/tex]
[tex] = > b = - \frac{2}{3} + \frac{7}{4} [/tex]
As when -7/4 goes on the other side becomes +7/4[tex] = > b = \frac{ - 8 + 21}{12} [/tex]
Simplification[tex] = > b = \frac{13}{12} \: or \: 1 \frac{1}{12} [/tex]
(Ans)what should be added to -1 to get 5/7
Pls answer thiss
Answers
Answer:
The answer is 12/7.
Step-by-step explanation:
To get the answer, simply subtract -1 to 5/7
[tex]\frac{5}{7} - (-1)\\[/tex]
Find the least common denominator.
[tex]\frac{5}{7} - (-1) = \frac{5}{7} - \frac{(-7)}{7}[/tex]
= 12/7
To check, add -1 to 12/7.
[tex]\frac{12}{7} + (-1)[/tex]
Find the least common denominator.
[tex]\frac{12}{7} + (-1) = \frac{12}{7} + \frac{(-7)}{7}[/tex]
= 5/7
Find the mode of project scores in math class 1 , 2 , 4 , 4 , 3 , 3 , 4 , 3 , 4 , 3 , 3 , 1
Answers
Mode is the bailie that is listed the most.
There are 5 3’s which is the most of any of the values given.
Mode = 3
Hello!
The mode is the number that is seen most often in the given dataset.
Let's take a look at all the numbers:
1 is seen twice
2 is seen once
3 is seen 5 times
4 is seen 4 times
So 3 is the mode. Hope it helps. Please ask me if you have any questions.
~An excited gal
#CarryOnLearning
[tex]MagicalNature[/tex] here to help
Exit
Lin wants to bike of a mile. She has already biked of a mile. How much farther does she have to bike?
Simplify your answer.
Answers
Please help & solve for x thank you!
Answers
9514 1404 393
Answer:
x = 23.1
Step-by-step explanation:
The parallel lines make the left segments proportional to the right segments. This lets us write the equation ...
x/14 = 33/20
Multiplying by 14, we get ...
x = 14(33/20) = 7(33/10) = 23.1
a grower wishes to mix a one peso per gram chemical with 80 centavo per gram chemical to produce mixture of 200 grams chemical which he can sell for 84 centavo a gram. how many grams of each price of chemical should he use
Answers
40 grams of $ 1 per gram and 160 grams of $ 0.80 per gram should be used.
Since a grower wishes to mix a one peso per gram chemical with 80 cent per gram chemical to produce mixture of 200 grams chemical which he can sell for 84 cent a gram, to determine how many grams of each price of chemical should he use you must perform the following calculation:
(150 x 1 + 50 x 0.8) / 2 = 95 (140 x 1 + 60 x 0.8) / 2 = 94 (100 x 1 + 100 x 0.8) / 2 = 90 (50 x 1 + 150 x 0.8) / 2 = 85 (40 x 1 + 160 x 0.8) / 2 = 84
Therefore, 40 grams of $ 1 per gram and 160 grams of $ 0.80 per gram should be used.
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What did you notice about the sums of 7 + (–3) and –3 + 7?
Answers
Step-by-step explanation:
Sum of 7 + (-3) = 7 +.- 3 = 7 - 3 = 4
( As + × - = -)
Sum of -3+7 = 4
We observe that both are same .
Answer:
they both give the same answer
Step-by-step explanation:
7+(_3)=+4
_3+7=+4
If a/(a+b) = 37/40 Find a/(a-b)
Answers
a/(a+b) = 37/40
(a+b)/a = 40/37
a/a + b/a = 40/37
1 + b/a = 40/37
b/a = 40/37 - 1
= 3/37
1 - b/a = 34/37
(a-b)/a = 34/37
a/(a-b) = 37/34
Good Luck
which inequality represents this graph
Answers
Answer:
it would be the first one!
Answer:
z ≥ -10, which is the first answer.
Step-by-step explanation:
As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.
The table below shows the size of the graduating classes for to high schools.
Answers
I think It's B. I'm not really sure thought.
Answer:
2017
Step-by-step explanation:
Adams high school Butler High school
628, 625, 622, 619, 616, 613, 436, 449, 462, 475, 488, 501
common difference = 625 - 628 = -3 common difference = 449-436 = 13
we can continue series like this
613 - 3 = 610 [2011] 501 + 13 = 514
610 - 3 = 607 [2012] 514 + 13 = 527
607 - 3 = 604 [2013] 527 + 13 = 540
604 - 3 = 601 [2014] 540 + 13 = 553
601 - 3 = 598 [2015] 553 + 13 = 566
598 - 3 = 595 [2016] 566 + 13 = 579
595 - 3 = 592 [2017] 579 + 13 = 592
I assume when they will become equal
so it is 2017
thanks in advance ill mark brainliest
Answers
Answer:
x = 10
Step-by-step explanation:
the unmarked angle in the triangle is the supplement to 6x - 7
180 - (6x - 7)
180 - 6x + 7
187 - 6x
The sum of the angles in a triangle is 180
therefor
(2x + 7) + 26 + (187 - 6x) = 180
Combine like terms
-4x + 220 = 180
Subtract 220 from both sides
-4x = -40
divide both sides by -4
x = 10
What is the slope of the line that
passes through these two points?
Simplify your answer completely.
Enter
Answers
Answer:
2/6
Step-by-step explanation:
you move up to spaces and over six spaces
Warm-Up
Abena invited 40 people to a party.
How many came if 25% of those invited didn't come?
Answers
Answer: 30
Step-by-step explanation:
25% of forty is 10 so we minus 40 by 10 to see the remaining 75% which is our answer.
40 - 10 = 30
30 people came
The number of people attend the party is 30.
Given that, Abena invited 40 people to a party.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here, 25% of 40
= 25/100 × 40
= 0.25 × 40
= 10
Number of people didn't come = 10
So, number of people came = 40-10=30
Therefore, the number of people attend the party is 30.
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Below is an excerpt from the home loan contract Kyle signed with his bank.
“The sum of the principal of the loan and all applicable interest will be divided into 360 monthly payments according to the amortization schedule.
The Buyer shall make each monthly payment by the first day of the month it is due. A payment not received by the first day of the month it is due will be considered delinquent. A payment not received by the fifteenth day of the month it is due will be subject to a late charge of $75.00. If a payment is not received by the last day of the month it is due, the Buyer and transaction shall be reported to the appropriate credit agencies.
In the event of delinquency, the Buyer may divide any payment not received into not more than three equal installments to be included on the next consecutive monthly payments. Notification of the Buyer’s intent to do so must be made by written letter or phone call to the phone number and address listed below within one business week of delinquency.”
Kyle failed to make his payment by the first of this month. Kyle’s monthly payment is currently $1,200. If Kyle decides to split the missing payment into two parts and pay it over the next two months, which of the following statements is false?
a.
Kyle will be reported to a credit agency.
b.
Kyle will be charged a $75 late fee for the missing payment.
c.
Kyle has one business week to inform his bank of the late payment.
d.
Kyle’s monthly payments for the next two months will remain $1,200.
Answers
I=PRT used to calculate interest earned. How do I solve for T?
Answers
9514 1404 393
Answer:
T = I/(PR)
Step-by-step explanation:
Solve for T the same way you solve for the variable in any proportion: divide both sides of the equation by its coefficient.
I = PRT
I/(PR) = PRT/(PR)
I/(PR) = T
_____
Additional comment
Please note that parentheses are required around the factors of the denominator when you write this in plain text.
I/PR ≠ I/(PR)
I/PR = (I/P)R . . . . . the order of operations requires the division occur before the multiplication
If you write this by hand, or in typeset form, the horizontal fraction bar serves to group the factors of the denominator:
[tex]T=\dfrac{I}{PR}[/tex]
f(ə) =
g(x) = (x - 2)2 – 7
We can think of g as a translated (shifted) version of f.
Complete the description of the transformation,
Use nonnegative numbers.
To get the function g, shift f up/down v
by
units and to the
right/left
by
units.
Answers
Answer: To get function g, shift f DOWN by 7 units and to the RIGHT by 2 units
Step-by-step explanation: g(x)= (x-2)^2-7 since they’re both negatives it should be the opposite. An example would be g(x)=(x+3)^2+5, f goes UP for positive by 5 units, left by 3 units.