Answers
Answer:
θ = 35.39°
Step-by-step explanation:
Given that,
Perpendicular, P = 27
Base, B = 38
We need to find the value of angle. Let the angle be θ. So,
[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})\\\\\theta=\tan^{-1}(\dfrac{27}{38})\\\\\theta=35.39^{\circ}[/tex]
So, the required angle is 35.39°.
Related Questions
write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. y=a(x-h)^2+k
vertex:(4,-1) point:(2,3)
Answers
Answer:
y = ( x − 2 ) ^ 2 + 3
y = x^2 − 4x + 7
Step-by-step explanation:
y = a ( x − h ) ^ 2 + k
where vertex is (h,k) = (4,-1)
h=4, k=-1
y = a ( x − 4 ) ^ 2 - 1
sub ( 2,3 )
3 = a (2 - 4)^2 - 1
a=1
y = 1 ( x − 2 ) ^ 2 + 3
y = ( x^2 − 4x + 4 ) + 3
y = x^2 − 4x + 7
[tex]e + \frac{1}{8} = \frac{3}{8\\}[/tex]
Answers
The 3rd term of an arithinetic progression is-9
and the 7th term is -29. Find the 10th term of the
progression.
Answers
Answer:
-64
Step-by-step explanation:
The computation of the 10th term of the progression is shown below:
The 3rd term is -9
A_n = a + (n - 1)d
-9 = a + (3 - 1)d
-9 = a + 2d
-9 - 2d = a
Now the 7th term is -29
A_n = a + (n - 1)d
-29 = a + (7 - 1)d
-29 = a + 6d
Put the a value to the above equation
-29 = -9 - 2d + 6d
-29 + 9 = 4d
-20 = 4d
d = -5
Now
-9 - 2d = a
-9 - 2(-5) = a
-9 - 10 = a
a = -19
Now finally the 10th term of the progression is
= a + (n - 1)d
= -19 + (10- 1)-5
= -19 -45
= -64
The function .... is symmetric with respect to what ?
Answers
Answer:
Reflection symmetry, lines of symmetry, mirror symmetry, mirror-image symmetry, are symmetry with respect to reflection. That is, a figure that does not change after undergoing reflection has re-symmetry
What percent of 38 is 23
Answers
This mean 23 is 60.5% of 38
The percentage of 38 that is 23 is = 60.5%
Percentage of a given quantity:To calculate the percentage of a given quantity, the quantity is taken to be =100%
That is ; 38 = 100%
Therefore, 23 = X
make X the subject of formula,
[tex]x = \frac{23 \times 100}{38} [/tex]
[tex]x = \frac{2300}{35} [/tex]
X = 60.5%
Therefore, 60.5% of 38 is 23.
Learn more about percentage here:
https://brainly.com/question/24304697
How many laps did Benito swim?
Rate: 10 laps in 6 minutes Time: 30 minutes
Answers
Answer:
50 laps
Step-by-step explanation:
10 laps : 6 minutes
multiply both sides by 5
50 laps: 30 minutes
In a bag of blue and yellow candies, the ratio of blue candies to yellow candies is 3:5. If the bag contains 60 yellow candies, how many blue candies are there?
Answers
Answer:
36 blues
Step-by-step explanation:
Answer:
36 blue Candies
Step-by-step explanation:
Let
x ----> the number of blue Candies
y ----> the number of yellow Candies
we know that
The ratio of blue candied and yellow candies is 3:5
Step-by-step explanation:
The ratio of blue candied and yellow candies is 3:5
so
x = 3
y 5 -----> equation A
the bag contains 60 yellow Candies
so
y=60 ----> equation B
substitute equation B in equation A
r 3
60 5
solve for x
x=3 (60) = 36
5
When 2 dice are rolled, find the probability of getting a sum greater than 8.
Answers
Answer: 10/36
When a pair of fair dice are rolled , the total possible cases are (6 × 6) = 36. Out of these 36 cases the following 10 cases are favors(giving the sum > 8) for the happening of the event . These 10 cases are (3, 6), (4, 5), (4, 6),(5, 4), (5, 5), (5, 6) , (6, 3), (6, 4), (6, 5), & (6, 6)
Step-by-step explanation:
6×6=36 possible outcomes and only 15 possible outcomes summing 8 or more than 8.
Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.
(m 3 + m 2 - 39m + 21) ÷ (m + 7)
Answers
Answer:
Quotient = m2-6m+81 Remainder = -560
Step-by-step explanation:
in the pic above
Is this table linear or not?
Answers
The temperature at 7 a.m. was -11°C. The temperature increased by 9°C during the
day arid then decreased by 4°C at 8 p.m. Which was the temperature at 8 p.m.?
Answers
What is the value of the expression shown? 6+43 – 8:2
Answers
Answer:
i'm sorry i think math is too hard could u help me
Step-by-step explanation: i understand the math problem
cos (390)
-4 cot (-45)
how did you get 24/10?
Answers
Step-by-step explanation:
[tex] \tt{} \frac{24}{10} [/tex]
[tex] \tt{} \frac{24 \div 2}{10 \div 2} [/tex]
[tex]\tt{} \frac{12}{5} [/tex]
[tex]\tt{}2 \frac{2}{5} \: \: \: \: \: = 2.4[/tex]
1 3/8 equations that are true and different
Answers
Answer:
you got this
Step-by-step explanation:
chose what you think is right it works with me so it should work with you
What is the value of x?
K
х
X-6
Q
P
5
ال)
L
J
Answers
Answer:
C
Step-by-step explanation:
The value of x is equal to 9
Work out the size of angle x.
Answers
Answer:
First: 105
Second: 65
Third: 133
Fourth: 129
Fifth: 60
Find the area of the shaded region using Pick's Theorem.
A. 25
B. 42
C. 18
D. 27
Answers
Answer:The answer is B
Step-by-step explanation:
If x + 10 = 70, what is x?
Α. 40
B. 50
C. 60
D. 70
E. 80
Answers
Answer:
×+10=70
you take 10 to the other side .... and it'll change signs ..as it was positive it will be negative then you simply say
×=70-10
×=60
what is a turtle
[tex]2111[/tex]
Answers
This is due in like 45 minutes HELP
Answers
Answer:
what is the question....?
Answer:
Answer:We need to know the question!!
What is the answer ?
Answers
Answer:
20x + -10xy
Step-by-step explanation:
10x · 2 ⇒ 20x
10x · -y ⇒ -10xy
Therefore, it is 20x - 10xy.
Answer:
Check pdf
Step-by-step explanation:
Type in a value that represents as likely as not in a decimal form.
Answers
Answer:
I Need Numbers Somthing....... Its Imposable to answer this
Step-by-step explanation:
Find the area of the circumference of a circle wit radius 9 cm
Answers
Answer:
area = πr^2
= 81 π
circumference = 2πr
= 18 π
hope it helps
Step-by-step explanation:
A≈254.47cm²
r Radius
9
cm
d
r
r
r
d
d
C
A
Simplify the following:
(-4x^3-14x^2+10x-1) ÷(2x-1)
Show your work.
Can someone please help for college prep math
Answers
Answer:
[tex]1-8x-2x^2[/tex]
Step-by-step explanation:
(-4x^3-14x^2+10x-1)÷(2x-1)
Factor the expressions that are not already factored.
[tex]\frac{(2x-1)(2x^2-8x+1)}{2x-1}[/tex]
Cancel out 2x−1 in both numerator and denominator.
[tex]2x^2-8x+1[/tex]
Swap terms to the left side.
[tex]1-8x-2x^2[/tex]
Graph if needed:
Alice has $90 to spend on
new clothes. She wants to buy
some shirts for $20 each. If
she has a coupon for $10 off
her total purchase, how many
shirts can she buy?
Answers
Answer:
5
step by step explanation:
if she gets $10 off of her purchase that means she would have a little extra money to another shirt
Please help
Look at picture and match
Answers
Answer:
It is the same order
Step-by-step explanation:
A=1/2bh triangle
A=bh parallelogram
A=1/2(b1 + b2)h trapezium
Answer:
Step-by-step explanation:
A=1/2bh =triangle
A=bh= parallelogram.
A=1/2(b1-b2)h=trapezoid.
What is a reasonable metric unit for the capacity of a large lake
Answers
Answer:
Liters and milliliters are metric units for measuring capacity
Step-by-step explanation:
Answer:
liters
Step-by-step explanation:
Jenny made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $85?
Answers
Answer: Jenny would have to work 5 hours to get $85
Step-by-step explanation:
Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5
Henry bought a pair of shoes that were on sale for 25% off. The sale price of the shoes was $42. What was the original price?
Answers
Answer:
$56
Step-by-step explanation:
Find out the percentage of the pair of shoes after the sale discount.
100 - 25 = 75%
75% = 42
1% = 42 ÷ 75 = 0.56
100% is the percentage of the original price.
100% = 0.56 x 100 = 56
Find the area of this figure