The unknown sides are 60.81cm and 51.57cm while the unknown angle is 58degrees
4a) Given the following
Opposite side = 38cm (side facing the given angle)
Required
Adjacent and hypotenuse side
According to SOH CAH TOA
[tex]tan \theta = \frac{opp}{hyp}\\tan 32=\frac{38}{hyp}\\hyp=\frac{38}{tan 32}\\hyp=\frac{38}{0.6249}\\hyp= 60.81cm[/tex]
Next is to get the adjacent
[tex]Cos 32=\frac{adj}{60.81}\\adj=60.81cos32\\adj=60.81(0.8480)\\adj= 51.57cm[/tex]
Next is to get the missing angle
Since sum of angle in the triangle is 180degrees
32 + 90 + x = 180
122 + x = 180
x = 180 - 122
x = 58degrees
The unknown sides are 60.81cm and 51.57cm while the unknown angle is 58degrees.
Learn more about the properties of triangles here: https://brainly.com/question/16908652
initial value on this table
Answer:correct me if I’m wrong but it’s 0.
Step-by-step explanation:
85-51=34. 34
—————=. —————=17
5-3. 2
And once 17 is the slope/rate of change,you can either go back 17 each time or….do an equation : f(x)=17(x-3)+51
How would you graph the solution set of x - 2 > 5?
Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.
open circle on 7 shaded to the right
please please i beg for help omg
Answer:
x = 12
Step-by-step explanation:
First:
[tex]27=9*3=3*3*3=3^3[/tex]
If you rewrite the 27 into base 3 like that:
[tex]3^{5x}=3^{(3)\times(2x-4)[/tex]
Now that both sides have the same base, you can cancel them out. This is the simplest example of that I can think of:
[tex]2^x=2^x[/tex]
Here, the exponent obviously has to be equal for this to be true, right? The exponents do have to be equal, so you can drop the bases completely:
[tex]x=x[/tex]
Same for the problem we have above. It's a base 3 on both sides, and for them to be equal, the exponents also have to be equal.
[tex]3^{5x}=3^{(3)\times(2x-4)}\\5x=(3)\times(2x-4)\\5x=3(2x-4)[/tex]
Now, you can simply solve for x.
[tex]5x=6x-12\\-1x=-12\\x=12[/tex]
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
Answer:
(1, 3), (2, 6), (3, 9)
Step-by-step explanation:
Dividing the first given ratio by 7 gives ...
7/7 : 21/7 = 1 : 3
Multiplying this by 2 and 3 gives the other ratios you want.
= 2(1) : 2(3) = 2 : 6
= 3(1) : 3(3) = 3 : 9
The equivalent ratios are (1, 3), (2, 6), (3, 9).
5. Simplify the expression 49. (1 point)
O24.5
O 6.5
06
OT
6. Which of the following inequalities is true? (1 point)
Answer:
7
Step-by-step explanation:
the square root of 49 is 7 since 7 x 7 = 49
N/2-11<-7 solve the 2 step inequality
Answer:
N<6
Step-by-step explanation:
Add 11 to both sides then multiply by 2
I need help answering asap!
Answer:
4 is. R=11.94 D= 23.88
5 and 6 I am not sure tbh
7 D=60.50 R=30.25
8 D=60 C=120
Suppose Viviana sent 100 text messages to her friend. She plans to send an additional 10
text to her friend per period. How many periods will it take Viviana to send 200 text
messages?
Answer:
20 More Periods
Step-by-step explanation:
Just Divide 200/10 and you get 20.
orignal price on a comb 0.99 discount 55%
Answer:
I think 5.45? Sorry, not the best at math
Step-by-step explanation:
if you get a 55% discount off of 0.99 cents you pay 0.45 $
you're saving 0.54 $
What is the median of the following data values?
10, 11, 12, 15, 19, 24, 27, 29, 33, 38
Answer:
21.5
Step-by-step explanation:
Make sure they are in order.
A median is basically (or literally) the number in the middle of the data set.
In this case, it is 19 and 24. To get the middle number, you have to:
Add the two numbers and divide them by 2.
19 + 24 = 43
43/2 = 21.5
Help me with this problem please.
The value of x is 5. The value of y is 8.66.
The image attached is that of a right triangle. In order to determine the value of x and y, SOHCAHTOA would be used. x is he opposite side and y in the adjacent side to the angle 30 degrees.
Sin 30 = opposite / hypotenuse
0.5 = x / 10
x = 5
Cos 30 = adjacent / hypotenuse
0.8660 = y / 10
y = 8.66
A similar question was answered here: https://brainly.com/question/18055768
2. Given < MCP = 65°, find the measurement of arc MP , arc MRP and < MRP.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
We know that the Angle subtended by an arc on centre of the circle is double as that of Angle subtended by the same arc on the circumference (boundary) of the circle
So,
[tex] \sf \angle MCP = 2\angle MRP[/tex][tex] \sf65 \degree = 2 \angle MRP[/tex][tex] \sf\angle MRP = 65 \degree \div 2[/tex][tex] \sf\angle MRP = 32.5 \degree[/tex]Answer:
arc MP = 65°arc MRP = 295°angle MRP = 32.5°Step-by-step explanation:
The measure of an arc is the same as the measure of the central angle it subtends.
arc MP = ∠MCP = 65°
Long arc MRP is the difference between arc MP and the full circle:
arc MRP = 360° -65° = 295°
Inscribed angle MRP is half the measure of the arc it subtends:
∠MRP = (arc MP)/2 = 65°/2 = 32.5°
Please help I need work shown!!
3x-11=2x+11
x=22
3x-11=55
2x+11=55
55+55+2y=180
2y=70
y=35
x=22 , y=35
2,826 rounded to the nearest tenth
Answer:
2,830
Step-by-step explanation:
Someone help me with this for BRAINLIEST thank you!
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, please feel free to ask in the comment section.
[tex]x+y =6 ~~~.....(i)\\\\x =3y -2~~.....(ii)\\\\\text{Substitute}~ x =3y-2~ \text{in equation (i):}\\\\\\3y -2 +y =6\\\\\implies 4y = 6+2\\\\\implies 4y = 8\\\\\\\implies y =\dfrac 84 =2\\\\\text{Substitute y =2 in equation (ii):}\\\\x = 3(2) -2\\\\\implies x = 6-2 =4\\\\\\\text{Hence,}~ (x,y) = \left(4, 2\right)[/tex]
The science club has 25 members and 40% of the girls how many girls are in the science club
Answer:
Step-by-step explanation:
25*40/100 = 10
Answer: 10
Step-by-step explanation:25*0.4=10
can someone pllsss help :((
What is the area?
7 square feet
11 square feet
9 square feet
Answer:
7 square feet
Step-by-step explanation:
There are seven squares, one is 1 square foot
7x1=7
Suppose $\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$. What is the smallest possible value for $x$?
The smallest possible value of x is the value less than 2/3
Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]
We need to find the smallest possible value of x as shown:
[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]
Reciprocate both sides
[tex]x < \frac{2}{3}[/tex]
Hence the smallest possible value of x is the value less than 2/3
Learn more on inequality here: https://brainly.com/question/4192645
Answer:x=7
Step-by-step explanation:
Any polygon with two pairs of parallel opposite sides is a parallelogram
Answer:
It is false that any polygon with two pairs of parallel opposite sides is a parallelogram. Let's understand the answer in detail. Explanation: ... There can be other polygons that have more than 4 sides but have only two pairs of parallel sides, which can't be called a parallelogram.
Step-by-step explanation:false.
what does relatively prime mean in math?
Answer:
When two numbers have no common factors other than 1.
Step-by-step explanation:
In other words there is no value that you could divide them both by exactly (without any remainder).
21 and 22 are relatively prime:
• The factors of 21 are 1, 3, 7 and 21
• The factors of 22 are 1, 2, 11 and 22
(the only common factor is 1)
But 21 and 24 are NOT relatively prime:
• The factors of 21 are 1, 3, 7 and 21
• The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24
(the common factors are 1 AND 3)
Relatively Prime is also called "coprime" or "mutually prime".
Here we see that 12 and 16 are NOT relatively prime
please urgent i beg for help !!!!!!!!!!!!!!!!!!!! will mark brainlist
Step 2 is incorrect. Since we are flipping the numerator and denominator, the exponents sign should be the opposite! In this case, it would become -5x.
Hope this helps!
Jenny's great grandmother is 95 years old.
Jenny is 12 years old.
What percent of Jenny's great grandmother's age is Jenny's age?
Hurry! Worth a lot of points!
Write an expression for 5 times the difference of twice a number and 4
Answer:
1. 50-x
2. 2x+189
3. x+109
4. x+99
5. x*(76-39)
6. 75+x
7. 45-3x
8. 2x+15
9. 3x-25
10. x*(x+88)
Step-by-step explanation:
Identify all of the congruent corresponding parts. Then, write a congruence statement.
Please help me
A?
B?
C?
D?
Answer:
B
Step-by-step explanation:
Answer:
[tex]13x^{10}[/tex]
Step-by-step explanation:
[tex]4x^{10}+9x^{10}[/tex]
[tex](4+9)x^{10}[/tex]
[tex]13x^{10}[/tex]
Because [tex]x^{10}[/tex] can be factored out from both terms, you just add 9 and 4 and keep the [tex]x^{10}[/tex].
Shapes. I will give brainless answer correctly and tell me the number
Answer:
It has to be 4 parts because it will to uneven if you cut diagonally.
Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory,
Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describe
the study above?
O A experimental study
OB. observational study
OC. survey
OD
controlled experiment
a
Reset
Submit
Answer:
It's probably B
Step-by-step explanation:
The value of a small airplane depreciates exponentially every year after it is
purchased. The value, in thousands of dollars, alt), of Plane X, t years after purchase
can be approximated by this function.
Answer: the operation can be said as x( 576-68)t-5= x
Step-by-step explanation:
You can see this because I am smart and just am
List all the angle measures from least to greatest.
From the three triangles
Answer:
40°, 43°, 60°
Step-by-step explanation:
In each triangle, you are given the measures of two angles. Subtract those two measures from 180° to find the measure of the third angle.
Triangle A:
c = 180° - 90° - 50°
c = 40°
Triangle B:
c = 180° - 112° - 25°
c = 43°
Triangle C:
c = 180° - 70° - 50°
c = 60°
Find the product
(-2) (7)
Answer:
-14
Step-by-step explanation:
Remember that a negative times a positive is negative:
(-2)(7) = -(2)(7) = -14