Answers
Answer:
Step-by-step explanation:
[tex]cot(\frac{\pi }{2} -\theta)=tan \theta=-0.87[/tex]
or second method
[tex]\cot(\frac{\pi }{2} -\theta)=\frac{1}{\tan(\frac{\pi }{2} -\theta)} =\frac{1}{\frac{\tan\frac{\pi }{2} -\tan \theta}{1+\tan \frac{\pi }{2 } \tan \theta} } =\frac{1+\tan\frac{\pi }{2} \tan \theta}{\tan\frac{\pi }{2} -\tan \theta} \\(divide~the~numerator~and~denominator~by~\tan\frac{\pi }{2} )[/tex]
[tex]=\frac{\cot\frac{\pi }{2} +\tan\theta}{1-\cot\frac{\pi }{2} \tan\theta} \\=\frac{0+\tan \theta }{1-0*\tan\theta} \\=\tan \theta\\=-0.87[/tex]
Related Questions
which expression has value of 15 when = 12?
[tex] \frac{18}{p} \: \: \: \: \: \: \: \: [/tex]
or
3p
or
18-p
or
p+3
someone please help me im failing math
Answers
Answer:
I think its 3p not sure but u can try that
please help me !!! :))))
Answers
Answer:
12.4 in
Step-by-step explanation:
I whish i can help :)
Answer:
13.6
Step-by-step explanation:
We can use the pythagorean therom since we know the 2 side leanths and solve for the longest side of the triangle which is the rectangle cut diagonally
11^2+8^2=c^2
121+64=c^2
185=c^2
√185= √c^2
13.6=c
Hope that helps !
At 4:00 AM, the temperature is 12 F. If the temperature drops 3 F per hour, what will the temperature be at 6:00 AM?
Answers
Answer:
6F
Step-by-step explanation:
it is 6 f because at 4:00 a.m. it is 12 f and it drops 3 per hour and I know that 4:00 a.m. to 6:00 a.m. is 2 hours and 2 times 3 is 6 and 6 minus 12 is 6
A salesperson earns a commission of a certain percentage on the original price of any items he helps you buy. The salesperson helped you select a new jacket that was originally 90$. He eared 5.76$ commission on this sale. What percentage of the original jacket price did the salesperson earn
Answers
Answer:
5.18%
Step-by-step explanation:
5.76 x 100 = 576
576 ÷ 100 = 5.184
5.184 = 5.18%
A rectangle has sides of 3 cm and 5 cm. A similar
rectangle is dilated by a scale factor of 2. Find its
dimensions.
06 cm by 10 cm
01.5 cm by 2.5 cm
O2 cm by 3 cm
O2 cm by 2.5 cm
Answers
Answer: 6cm by 10cm
Step-by-step explanation: Any scale factor greater than one will increase the size or area of the shape. since 2 is greater than one multiply to find the new dimensions
Solve the system by substitution
2x + y = -14
y = -2x + 14
Answers
Answer:
Step-by-step explanation:
d
The sum of two numbers is 58. If there difference is 28, find both numbers
Answers
Answer:
y = 15
x = 43
Step-by-step explanation:
this is giving us a system of equations because we know two things:
x + y = 58
x - y = 28
take the second equation and format it where you have simplified it for one variable:
x = 28 + y
(we did this by adding y to both sides)
now substitute this new value of x into the first equation:
28 + y + y = 58
simplify this to get 2y = 30
divide both sides by 2: y = 15
now substitute your new value of y into the second equation:
x = 28 + 15
x = 43
Please help me with this geometry problem, tysm
Answers
9514 1404 393
Answer:
x = 6∠NBS = 68°Step-by-step explanation:
The sum of the two adjacent angles is equal to the angle that includes both.
∠NBS +∠SBR = ∠NBR . . . . . angle sum theorem
(12x -4) +42 = (17x +8)
30 = 5x . . . . . . . . . . . . . . subtract 12x+8
6 = x . . . . . . . . divide by 5
__
Then the measure of ∠NBS is ...
∠NBS = 12x -4 = 12·6 -4
∠NBS = 68 . . . . degrees
A school track is shown. 1000 m 74 m The straightaway on each side measures 1,000 meters. The curves are semicircles with diameter 74 meters. What is the distance, in meters, around the entire track? Use the a button on your calculator and express your answer to the nearest hundredth. The distance is meters.
Answers
Answer:
You have Rs 2,400 in your account and the interest rate is 5%. After how many years
would you earn Rs 240 as interest.
Step-by-step explanation:
Distance around entire school track = 2232.48 meters
What is perimeter?In geometry, the perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.
Given,
Straight length of the track = 1000 meters on each side
total straight length = 2 × 1000 = 2000 meters
Curves are semicircles on each side having diameter of 74 meters
which makes a complete circle
Perimeter of circle = π × diameter
= π × 74 = 232.477856 meters
Total distance in meters = 2000 + 232.477856
= 2232.477856
Hence, 2232.48 meters is the total distance around the entire track.
Learn more about perimeter here:
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Is (1, 4) a solution to this system of equations? 3x + y = 7
3x + 3y = 15
A. N o, (1, 4) is not a solution.
B. Yes, (1, 4) is a solution.
Answers
A restaurant bill before tax is $15.50. How much is a 15% tip for this bill? Be sure to round your answer to the nearest hundredth.
Answers
Answer: 17.82
Step-by-step explanation:
1.15 x 15.50 = 17.825
17.825 rounded to the nearest hundreth is 17.82
Expand the following:
a) x(x + 2)
b) x(2x - 5)
c) 2x(3x + 4)
d) 6x(x-2y)
Answers
Answer:
[A] x² + 2x
[B] 2x² - 5x
[C] 6x² + 8x
[D] 6x² - 12xy
Explanation:
x(x + 2)Apply Distributive Law: a(b + c) = ab + ac
x(x + 2) = xx + x · 2
Simplify:
x² + 2x
x(2x - 5)Apply Distributive Law: a(b - c) = ab - ac
x(2x - 5) = x · 2x - x · 5
Simplify:
2x² - 5x
2x(3x + 4)Apply Distributive Law: a(b + c) = ab + ac
2x(3x + 4) = 2x · 3x + 2x · 4
Simplify:
6x² + 8x
6x(x - 2y)Apply Distributive Law: a(b - c) = ab - ac
6x(x - 2y) = 6xx - 6x · 2y
SImplify:
6x² - 12xy
- Pacific Northwest
Please please help me I really need help please
Answers
Answer:
s = 25y + 85
Step-by-step explanation:
Answer:
s = 25y + 85Step-by-step explanation:
Initial number = 85Yearly added = 25Number of years = yTotal = sThe relationship is:
s = 25y + 85Determine whether the paired values represent a proportional relationship.
(-2,-4).(-1, - 2).(1, 2).(2, 4)
Answers
Answer:
(-1,-2) is the correct one but they all are the same
how do you put this into a decimal equivalent
8 4/9=
Answers
Answer:
8.44444444444
Step-by-step explanation:
hope this helped
Answer:
8.44!!
Step-by-step explanation:
hope this helps!!
Love: Deku <3
Sandy needs to create a triangular structure for her science project. She has two
pieces of bamboo measuring 6.5 inches and 8.1 inches. How long must her third piece
of bamboo be in order to create a triangle?
A 14.4 inches
B 14.6 inches
C 1.4 inches
D 1.6 inches
Answers
Answer:
The third piece must be 14.4 inches
Step-by-step explanation:
We use the triangle inequality theorem to get the third side
using the theorem, it must be that the sum of the two will be greater than the length of the third side
Hence we have it that;
a + b > c
6.5 + 8.1 > c
14.6 > c
So what this mean is that the third length is less than 14.6
the reasonable answer out of the options is thus 14.4 inches
reason for this is that the last two options will also not follow the inequality theorem
find y when x=4, if y=7 when x=14
Answers
Answer: y = 2 when x = 4
i looked for a correlation in the given problem, and i realized that "y" will equal half of whatever "x" equals. so when x = 4, y = 2.
Read the paragraph. When young people are encouraged to take risks, they build confidence in their own decision-making skills and capabilities. Consider Winston, a ninth grader willing to try out for a varsity sport or a competitive performance band. He risks failure and personal embarrassment, but he learns the tryout process. He may also learn his personal strengths and shortcomings. Whether he is met with success or not, the risk-taking experience fosters self-reflection and growth. What central idea is explicitly stated in the paragraph? Young students should compete in varsity athletics. Students learn about themselves by taking risks. Students benefit from high-level competition. Young students are nervous during tryouts.
Answers
Answer:
B
Step-by-step explanation:
Based on the definition of a central Idea, the central Idea stated explicitly in the paragraph is that students learn about themselves by taking risks.
What is the central Idea in the paragraph?The central Idea of a paragraph is the main theme or topic which the reader is expected to learn or remember.
According to the paragraph, when young people are encouraged to take risks, it helps them build self-confidence.
Even though the results of taking such risks may not be successful, the young person gets to know more about his strengths and weaknesses.
Therefore, the central Idea stated explicitly in the paragraph is that students learn about themselves by taking risks.
Learn more about about central Idea at: https://brainly.com/question/2684713
A box contains 1 3/4 cups ponds of pancake mix. Jada used 7/8. What fraction of the pancake mix in the bow did she use?
Answers
1 3/4 - 7/8= 7/8
what is 41,250 written in scientific notation
Answers
Why is 41,250 written as 4.125 x 104 in scientific notation?
In ΔDEF, e = 49 cm, d = 73 cm and ∠D=52°. Find all possible values of ∠E, to the nearest degree.
Answers
Answer: 32
Step-by-step explanation:
Bob took a total of 30 quizzes over the course of 5 weeks. After attending 8 weeks of school this quarter, how many quizzes will Bob have taken in total. Solve using unit rates
Answers
Answer:
Step-by-step explanation:
total= 5/8
Answer:
48 quizzes
Step-by-step explanation:
1. divide 30 by 5 to see how many quizzes he took each week
30/5 = 6
Bob took 6 quizzes each week
2. multiply 8 weeks by 6 quizzes per week
8 x 6 = 48
48 quizzes
:))))
5w + 4 =-16 help me plz
Answers
Answer:
w = -4Explanation:
5w + 4 = -16
Subtract 4 From Both Sides5w + 4 - 4 = -16 - 4
Simplify5w = -20
Divide Both Sides By 55w / 5 = -20 / 5
Simplifyw = -4Carl is having a party. He has bought 24 brownies and is making 6 more batches of brownies. The inequality below can be used to determine how many brownies, b, must be in each batch so that all 138 guests get at least 1 brownie. Determine which of the given values, if any, make the inequality true: b=10, b=15, b=20 *
Answers
Answer:
b = 20
Step-by-step explanation:
The computation is shown below
Given that
24+ 6b > 138
where
b = 10
b = 15
b = 20
So if we take b = 10
= 24 + 6(10)
= 24 + 60
= 84
B = 15
= 24 + 6(15)
= 24 + 90
= 114
B = 20
= 24 + 6 (20)
= 24 + 120
= 144
So if we take b = 20 the inequality would be true
Solve the proportion: x/42 = 3/7
Answers
Answer: x=18
Step-by-step explanation:
Step 1: Cross-multiply.
Step 2: Divide both sides by 7.
increase 40 pounds by 70%
Answers
Increase total = original amount x (1 + increase rate)
40 x (1 + 0.70)
40 x 1.7 = 68
The answer is 68
68 is the answer hope it help's
I'm having trouble with this problem
Answers
Answer:
the first and third should be the correct answer I hope this helps
Need help with these two questions
31.
Given: AB || DC , AD || BC
Prove: ΔABC ≅ ΔCDA
Statements Reasons
1. AB || DC 1. Given
2. ∠BAC ≅ ∠DCA 2.
3. AD || BC 3. Given
4. ∠ACB ≅ ∠CAD 4.
5. AC ≅ AC 5.
6. ΔABC ≅ ΔCDA 6.
Answers
Answer:
i dont know if this is right but i put
31)
2. alternate angles
4. alternate angles
5. reflexive property
6. ASA
32)
1. DEC, EDC, DC
2. AAS
3. def. of congruent triangles
4. ACE
5. def. of isosceles triangle
If AB || DC by Given
2. ∠BAC ≅ ∠DCA because these are alternate angles.
3. AD || BC by given
4. ∠ACB ≅ ∠CAD because these are alternate angles.
5. AC ≅ AC by reflexive property.
6. ΔABC ≅ ΔCDA by ASA property of triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that AB || DC and AD || BC
We need to prove that ΔABC ≅ ΔCDA.
Which means ΔABC is similar to ΔCDA.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
1. AB || DC by Given
2. ∠BAC ≅ ∠DCA because these are alternate angles.
3. AD || BC by given
4. ∠ACB ≅ ∠CAD because these are alternate angles.
5. AC ≅ AC by reflexive property.
6. ΔABC ≅ ΔCDA by ASA property of triangle.
Hence, AB || DC by Given
2. ∠BAC ≅ ∠DCA because these are alternate angles.
3. AD || BC by given
4. ∠ACB ≅ ∠CAD because these are alternate angles.
5. AC ≅ AC by reflexive property.
6. ΔABC ≅ ΔCDA by ASA property of triangle.
To learn more on Triangles click:
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At 4:00 AM, the temperature is – 12 ·F. If the temperature drops 3 °F per hour, what will the temperature be at 6:00 AM?
Answers
Answer:
-18
Step-by-step explanation:
Answer:
6 degrees F
Step-by-step explanation:Since it was at 12 and it was 4 am.Going down 3 degrees by the hour and it six do 12-3-3.
Find the value of "c". 4c + 18 = 74 *
Answers
[tex]4c \: + 18 = 74[/tex]
[tex] \implies \: 4c = 74 - 18[/tex]
[tex] \implies \: 4c = 56[/tex]
[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]
[tex] \implies \: c = 14[/tex]
The value of c is 14 .
Answer:
14
Step-by-step explanation:
move all terms that don't contain c then solve.
