Answers
Answer:
1) x ≅ 51.34°
2) y ≅ 38.66°
Step-by-step explanation:
In the right triangle given in the figure
∵ The triangle has a right angle
∴ Angles x and y are acute angles and the sum of their measures is 90°
→ By using the trigonometry function tan
∵ tan(x) = opposite side to x/adjacent side to x
∵ The opposite side to x = 10
∵ The adjacent side to x = 8
→ Substitute them in the rule above
∴ tan(x) = [tex]\frac{10}{8}[/tex] = [tex]\frac{5}{4}[/tex]
→ Use the inverse of tan to find x
∵ x = [tex]tan^{-1}[/tex]([tex]\frac{5}{4}[/tex])
∴ x = 51.34019175
∴ x ≅ 51.34°
∵ x + y = 90°
∴ 51.34 + y = 90
→ Subtract 51.34 from both sides
∴ y ≅ 38.66°
Related Questions
Round 4358 to the nearest thousand
Answers
Answer:
4,000
Step-by-step explanation:
You go to the thousand number and see if the hundred number is higher than 5, if not then its stays the same.
4,000
Explanation:
Find the sum of the first 8 terms of the following series, to the nearest integer.
36, 30, 25, ...
Answers
Answer:
The sum of the first 8 terms will be:
[tex]\frac{1288991}{7776}[/tex]Step-by-step explanation:
Given the sequence
[tex]36, 30, 25, ...[/tex]
A geometric sequence has a constant ratio and is defined by
[tex]a_n=a_0\cdot r^{n-1}[/tex]
computing the common ratio
[tex]\frac{30}{36}=\frac{5}{6},\:\quad \frac{25}{30}=\frac{5}{6}[/tex]
[tex]r=\frac{5}{6}[/tex]
As the first element is
[tex]a_1=36[/tex]
so the nth term will be:
[tex]a_n=a_0\cdot r^{n-1}[/tex]
[tex]a_n=36\left(\frac{5}{6}\right)^{n-1}[/tex]
Geometric sequence sum formula
[tex]a_1\frac{1-r^n}{1-r}[/tex]
Plugin the values to determine the sum of the first 8 terms
[tex]n=8,\:\spacea_1=36,\:\spacer=\frac{5}{6}[/tex]
[tex]=36\cdot \frac{1-\left(\frac{5}{6}\right)^8}{1-\frac{5}{6}}[/tex]
[tex]=\frac{\left(1-\left(\frac{5}{6}\right)^8\right)\cdot \:36}{1-\frac{5}{6}}[/tex]
[tex]=\frac{36\left(-\left(\frac{5}{6}\right)^8+1\right)}{\frac{1}{6}}[/tex]
[tex]=\frac{36\left(-\frac{390625}{1679616}+1\right)}{\frac{1}{6}}[/tex]
[tex]=\frac{\left(1-\frac{390625}{1679616}\right)\cdot \:36\cdot \:6}{1}[/tex]
[tex]=\frac{216\left(-\frac{390625}{1679616}+1\right)}{1}[/tex]
[tex]=\frac{216\cdot \frac{1288991}{1679616}}{1}[/tex]
[tex]=216\cdot \frac{1288991}{1679616}[/tex]
[tex]=\frac{1288991\cdot \:216}{1679616}[/tex]
[tex]=\frac{278422056}{1679616}[/tex]
[tex]=\frac{1288991}{7776}[/tex]
Therefore, the sum of the first 8 terms will be:
[tex]\frac{1288991}{7776}[/tex]At a department store, the price of a freezer is marked up 15% to $450.50.
What was the price of the freezer BEFORE the mark up?
Answers
Answer:
The price was $391.30.
Step-by-step explanation:
We can answer this using algebra:-
Let the original price be $x, then:
x + 15% of x = 450
x + 0.15x = 450
1.15x = 450
x = 450/1.15
x = 391.304
Audrina goes to the mall with $50. She buys 3 shirts for $8.50 each, and 2 pairs of pants for $11 each. How much money does Audrina have left?
Answers
Answer:
2.5
Step-by-step explanation:
she has buys 3 shirts for 8.50 which = 25.5
then she buys 2 pair of pants for $22 because 2 x 11=22
so then 22 + 25.5 = 47.50
50.00- 47.50= 2.50
7. 3х + 3 = 3(х + 1)
Answers
Hopefully this helps
given g(x) √x-4 and h(x) = 2x - 8
what are the restrictions on the domain of g • h?
x ≥ ____
Answers
Answer:
6
Step-by-step explanation:
Given : g(x) = and h(x)=2x-8.
g*h(x) =(2x-8).
We have square root(x-6) in composite function f*h(x).
So, we need to find the domain, we need to check for that values of x's, square root(x-4\6) would be defined.
Square roots are undefined for negative values.
Therefore, we can setup an inequality for it's domain x-6≥0.
Adding 4 on both sides, we get
x-6+6≥0+6.
x≥6.
Answer:
6
Step-by-step explanation:
ILL GIVE BRAINLIEST PLEASE ANSWER THIS FAST FAST FAST
Drag each set of coordinates to the correct location on the table. Not all coordinates will be used.
Points that two lines pass through are given in the table. Match each point of intersection to the correct pair of lines.
(2, 0)
(-1, 3)
(1, 0)
(-1, -3)
(0, 2)
(-3, -1)
Answers
Answer:
1. No solution.
2. (-1,3)
3. (2,0)
4. (1,0)
Step-by-step explanation:
Hope it helps.
PLEASE HELP QUICK
Which equation represents the line that passes through the
point (-2,5) and is perpendicular to the graph of x - 6y = 4 ?
Answers
Answer:
y=6x+7
Step-by-step explanation:
What is the sum of the measures of interior angles for a regular polygon with 5 sides
Answers
Answer:
360 degrees
Step-by-step explanation:
Answer: 540°
Step-by-step explanation:
180 * (number of agles -2)
180 * (5-2)
180 * 3
540
In 2010, total number of students in a school was 3200 and in 2011 it is increased by the ratio 6:5. Find the total number of students in 2011 in the school.
Answers
Answer:
3321
Step-by-step explanation:
6+5=11
11*6=66
11*5=55
66+55=121
3200+121=3321
Are there any five-digit numbers which are reversed when multiplied by 8?
Answers
...
1+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=2
lol
Answers
Answer:
1 + 1 equals 2.
Step-by-step explanation:
When you take one of something, and you add it to another 1 of something, then you get 2 of something.
A rectangular park is 135 yards long and 90 yards wide.
Give the length and width of another rectangular park that has the same perimeter but a smaller area.
Answers
Answer:
l = 140 yards , w = 85 yards
Step-by-step explanation:
1). l = 135 yards , w = 90 yards
P = 2 × 135 + 2 × 90 = 450 yards
A = 135 × 90 = 12,150 yards²
2). l = 140 yards , w = 85 yards
P = 2(140 + 85) = 450 yards
A = 140 × 85 = 11,900 yards²
Answer:
width= 100 yards
length= 125 yards
Step-by-step explanation:
I think.
PLS HELP!
Simplify -C(Cx^4)^2
Answers
Answer:
k!! *grabs a note book*
soo the answer is... -c^3x^8
Step-by-step explanation:
hope this helps!!
So the Answer would be -c^3x^8
Please help will mark brainliest if correct
Answers
Answer:
Step-by-step explanation:
ASA
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answers
Answer:
46
x=46 degrees
Expression A: X+3 Expression B: 1 + x + 2 Which statement can be used to show that these expressions are equivalent?
OA. Each expression includes the term x.
OB. The expressions name the same number regardless of the value of x.
OC. X+3 can be rewritten as 1 + x + 2 using distributive property.
O D. Both expressions involve addition,
Please help! May give brainlists. (Idk how to spell it-)
Answers
Answer:
The expressions name the same number regardless of the value of x
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Because 3 can become 1 and 2
that is the question
Answers
Convert the following:
(a) 300 cm into metre
Answers
Answer:
3m
Step-by-step explanation:
1 meter equals 100 cmWe know that [tex]1meter=100centimeters[/tex] Now how many (100 cm)'s are in (300 cm)'s? There are 3 right?So if every 100 cm is also a meter and there are 3 of these (100cm)s then they are just the same as 3 meters[tex]100cm=1m\\300cm=(x)m[/tex] cross multiply[tex]100cm(x)m=300cm1m[/tex] divide both sides by 100cm[tex](x)m=3m[/tex]Answer:
Convert the following:
(a) 300 cm into metre
3 metres
Given AC = LN and BA = ML, which statement must be true?
Answers
Answer:
BC<MN
Step-by-step explanation:
Solve the equation.
20 = –d + 16
A. –4
B. –6
C. 4
D. –10
Answers
I hope this helps!!!!
A.) how much does it cost to buy 5 tickets?
B.) How many tickets can buy with $130?
Answers
Answer:
A) $77.50
B) 8 tickets
Step-by-step explanation:
A) c(x) = 17.5x - 10
Substitute 5 for x
c(x) = 17.5(5) - 10
Multiply
c(x) = 87.5 - 10
Subtract
c(x) = 77.5
B) 130 is the cost, so substitute 130 for c(x)
130 = 17.5x - 10
Add 10 to each side to move the constants to one side
140 = 17.5x
Divide each side by 17.5 to isolate the variable
8 = x
Classify the polynomial as a monomial, binomial, trinomial, or none of these. x2 - 10x + 25
Answers
It is a trinomial because it follows the pattern of x^2 + bx + c. In this case, x^2 - 10x + 25. Also, it only has three numbers and two operation symbols, signifying a trinomial (three = tri).
i have multiple question but for that i will give u lots of points and who ever gets it first ALL OF THEM will also get brainlest :)
1:
2:
3:
4:
5:
Answers
Answer:
1. slope is 1/2
2. slope is 1/3
3. slope is 2/3
4. slope is 3
5. y=3x-2
Step-by-step explanation:
In △ACD, if AC ≅ AD, m∠A = (3x – 4)°, m∠C = (5x + 1)°, and m∠D = (7x – 27)°, find x and the measure of each angle. *
Answers
Answer:
x = 14
A = 38
B = 71
C = 71
Step-by-step explanation:
Since we have a triangle, the addition of the measure of all the measure of the angles give 180
Thus;
3x-4 + 5x + 1 + 7x-27 = 180
15x-30 = 180
15x = 180 + 30
15x = 210
x = 210/15
x = 14
To get the measure of each of the angles, we substitute for x
A = 3x-4 = 3(14) - 4 = 38
B = 5x + 1 = 5(14) + 1 = 70 + 1 = 71
C = 7x - 27 = 7(14) - 27 = 98-27 = 71
How do I transform this into a zero?
PLS HEEELPPPP!!
Answers
Answer:
-n=-3
Step-by-step explanation:
Use the distributive property to remove the
6(v+4)
Answers
There is a snowstorm in a certain town. In 1/2 hour, there was 7/8 inches of snow. It continues at the same rate for a total of 2 hours. Which statement is true about the amount of snow in the 2-hour period
Answers
Answer:
Since I don't know the statements, I'm gonna guess that if there is 7/8 snow in 1/2 hour then in 2 hours there is 3.5 inches of snow or 28/8 inches of snow in 2 hours.
Step-by-step explanation:
Find the measure of Please helppp
Answers
Answer: 43
Step-by-step explanation: you add all of them up and then do 180- what you get which would be 180-137. It gives you 43.
Answer:
43 degrees
Step-by-step explanation:
straight lines equal 180 so u add all the angles together to reach 180 hope this helps
An advertisement reads “All Books 28 Percent Off.” A best-selling novel is originally priced at $18.99. About how much money will Gio save if he buys the novel on sale?
Answers
Answer:
6dollars
Step-by-step explanation:
Answer:
the answer is B 6 dollars
Step-by-step explanation: