Answer:
[tex]AD = 403.75[/tex]
[tex]CD = 115.70[/tex]
[tex]BD = 294.93[/tex]
Step-by-step explanation:
Given
The above triangle
Solving (a): AD
To solve AD, we consider triangle ACD.
Using cosine formula:
[tex]cos(\angle A) = \frac{AD}{AC}[/tex]
Where:
[tex]\angle A =16[/tex]
[tex]AC = 420[/tex]
So:
[tex]cos(16) = \frac{AD}{420}[/tex]
[tex]AD = 420 * cos16[/tex]
[tex]AD = 420 * 0.9613[/tex]
[tex]AD = 403.75[/tex]
Solving (b): CD
Here, we make use of Pythagoras theorem:
[tex]AC^2 = AD^2 + CD^2[/tex]
So:
[tex]420^2 = 403.75^2 + CD^2[/tex]
[tex]176400 = 163014.0625 + CD^2[/tex]
[tex]CD^2 = 176400 - 163014.0625[/tex]
[tex]CD^2 = 13385.9375[/tex]
[tex]CD = \sqrt {13385.9375[/tex]
[tex]CD = 115.70[/tex]
Solving (c): BD
Here, we make use of Pythagoras theorem:
[tex]AB^2 = AD^2 + BD^2[/tex]
[tex]BD^2 = AB^2 - AD^2[/tex]
[tex]BD = \sqrt{AB^2 - AD^2[/tex]
[tex]BD = \sqrt{500^2 - 403.75^2[/tex]
[tex]BD = \sqrt{86985.9375[/tex]
[tex]BD = 294.93[/tex]
Find the measure of the missing angle
60°
90°
65°
25°
10a3 what is the vocabulary for 10
Answer:
Coefficient
Step-by-step explanation:
If it is 10a^3 (10 times the variable "a" cubed), then 10 is the coefficient.
Avery paid a $5.00 entrance fee to the carnival
and $3.00 for 6 tickets. How many total tickets
could she buy with the $10.00 she was given to
attend the carnival?
Find the slope and y-intercept from the following graph of a linear equation
Answer:
y=4x+3
Step-by-step explanation:
y=mx+b
m-slope
b-y-intercept
slope is 4/1 rise 4 ,run 1
m=4/1=4
y-intercept is 3
Answer:
Slope = 4
y-intercept = 3
Step-by-step explanation:
1. Find the slope
The slope of the line is the change in the line, it is also known as the [tex]\frac{rise}{run}[/tex]. It can be found by using the formula; [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. On the graph, one can see that points ( -1, -1 ) and ( -2, -5 ). Substitute these into the formula and solve for the slope;
[tex]=\frac{y_2 - y_1}{x_2 - x_1}\\\\=\frac{(-5) - (-1)}{(-2) - (-1)}\\\\=\frac{-5 + 1}{-2 + 1}\\\\=\frac{-4}{-1}\\\\= 4[/tex]
The slope of the given line is 4
2. Find the y-intercept
The y-intercept is where the graph of the line intersects the y-axis. In this case, this point is visible, the point at which the graph intersects the y-axis is (0, 3). The y-intercept is the y-coordinate of this point, in other words (3).
help pls ill give extra points : )
Answer:
$2.20 per kg
Step-by-step explanation:
divide 6.60 by 3 to get the answer
Answer:
$2.20
Step-by-step explanation:
Take the price and divide it by the amount.
6.60/3 = 2.2
Therefore, the unit price is $2.20 per kilogram.
Solve using substitution
y = 5x– 1
y = 3 + 5
Answer:
(9/5, 8)
Step-by-step explanation:
y = 3 + 5
y=8
y = 5x– 1
8=5x– 1
9=5x
x=9/5
(9/5, 8)
The diagram represents a dilation with a center at P. If the scale factor of e dilation is K, which statement about the diagram is true?
Answer:
C is correct. If the scale factor is greater than 1, the image is an enlargement. The segment UT could be an enlargement of the segment ST.
Step-by-step explanation:
A. If > 1, then the image of could be .
B. If 0 < < 1, then the image of could be . ( If the scale factor is between 0 and 1, the image is a reduction )
C. If > 1, then the image of could be .
D.If = 2, then the image of is itself.
A is not correct. If the scale factor is between 0 and 1, the image is a reduction.
B is not correct. If the scale factor is between 0 and 1, the image is a reduction.
C is correct. If the scale factor is greater than 1, the image is an enlargement.
D is not correct. If the scale factor is 1, the figure and the image are congruent.
The dilation factor for triangle PST (K₁) is less than that of triangle PUV (K₂).
What is scale factor? How it is used in Dilating sides?Scale factor tells us by how much one quantity is greater than the other. It is denoted by K. Mathematically → K = a/b.Rewriting, we get → a = Kb.If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka].Given is a diagram that represents a dilation with a center at {P}. The scale factor of the dilation is {K}.
The dilation factor for triangle PST (K₁) is less than that of triangle PUV (K₂).
Therefore, the dilation factor for triangle PST (K₁) is less than that of triangle PUV (K₂).
To solve more questions on dilation, visit the link below-
brainly.com/question/13439872
#SPJ5
Li is comparing 43.94 and 43.52. Which place value should she use to compare the two numbers?
tens
hundredths
O tenths
ones
It this right PLZ HELP!!
Answer:
Yes it is true!
Step-by-step explanation:
HELP PLEASE
In AQRS, the measure of ZS=90°, the measure of ZQ=31°, and RS = 27 feet. Find the
length of SQ to the nearest tenth of a foot.
Tammy Ray purchases 20 file cabinets for $986.99. What is
the price per cabinet?
Answer:
49.34Step-by-step explanation:
986.99/20=49.3485
Divide 986.99 by 20 which gets you 49.3485 then just around up the 10.
Hope this helps! Have a great day. Remember your amazing and you got this! Alycia <3
Can someone please help me. I’m not quite understanding this problem
Answer:
A=3
B=8
C=2
D=5
Step-by-step explanation:
hope this helps
Answer:
okay, so to get A you'll have to add 2 and 1 and get three. So, A equals 3. then to get B you will add 3 and 5 because A equals 3 and that will give you 8. so, B equals 8. To get D you will add 2 and 3. that will make D equals 5. to get C you will get 2. because 3 plus two equals five and because 1 plus 2 equals 3
Corresponding Angles are congruent.
Which angle corresponds with <3?
41 A2
43 44
ܝܝ 2
«[?]
428
25 26
Answer:
Angle 5
Step-by-step explanation:
angle 5 corresponds with angle 3 i believe
Write the equation of a line given its slope, m = 6 and its y-intercept, b = -5
What is the circumference of a circle whose diameter is 5.7 ft? Use 3.14 for pi . Round your answer to the nearest tenth and enter it in
the box
Answer:
C≈17.91
Step-by-step explanation:
Answer:
17.91
Step-by-step explanation:
What is the y-intercept Of the function Represented by the table of values belowX -2 1 2 4 7 y 15 6 3 -3 -12
Given:
The table of values.
To find:
The y-intercept of the given function.
Solution:
The table of values represents a linear function because the rate of change is constant.
Consider any two points from the given table. Let the two points are (-2,15) and (1,6). Then the equation of the linear function is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-15=\dfrac{6-15}{1-(-2)}(x-(-2))[/tex]
[tex]y-15=\dfrac{-9}{1+2}(x+2)[/tex]
[tex]y-15=\dfrac{-9}{3}(x+2)[/tex]
[tex]y-15=-3(x+2)[/tex]
Adding 15 on both sides, we get
[tex]y=-3x-6+15[/tex]
[tex]y=-3x+9[/tex]
Putting x=0, we get
[tex]y=-3(0)+9[/tex]
[tex]y=0+9[/tex]
[tex]y=9[/tex]
The y-intercept is 9. Therefore, the correct option is C.
Answer: this is correct
Step-by-step explanation:
From turning this assignment in this is correct
How many TRIANGLES can you find?
Bob found 3 dimes and 17 pennies when he was cleaning his room. Which equations are equivalent to how much money Bob found?
he has 47 cents
Step-by-step explanation:
so if bob had 3 dimes so off the bat thats 30 cents then 17 pennies you add that up and you get 47 cents mark me as brainlist pls:)
jesse has 3 more than twice the number of video games than his brother has. which expression could be used to represent this amount?
50 to 75 percent increase?how do i solve this?
Please no one is helping me I truly need help pls
Answer:
104 cm^3
Step-by-step explanation:
2(1/2(6*4))+2(1/2(4*10)+(4*10)
2(1/2(24)+(2(1/2(40)+(40)
2(12)+2(20)+40
24+40+40
104 CM^3
HURRY TIMED!!! 30 POINTS!!! PICTURE EXPLAINS IT ALL!!
Answer:
Step-by-step explanation:
it is 5x2 which is 10
1/5 x < 2
please help!
Answer: X < 10
Step-by-step explanation:
Multiply by 5 to get the X by itself.
What is the Domain, Range, and the vertex for this graph?
Answer correctly pls. I will give brainliest.
Answer:
Step-by-step explanation:
Answer:
Vertex is 3,1
Domain is 0<x<6
Range is : -9<x<1
Step-by-step explanation:
There are 320 lights in the tree. 25% are red. How many are red?
Answer:
80 red lights.
Step-by-step explanation:
25% of 320 is 80. Hope this helps!
Colton has $2400 in his savings account. It earns 3.5% interest each month. How much money does Colton have in his bank account after one month?
Answer:
$2407
Step-by-step explanation:
Help pls shejsbsjsjshsjsvshzhabjs
Answer:
The answer is for the first one it is 372, for the second one it is 3280
Step-by-step explanation:
Multiply the numbers not using calculator, but by hand and figure out where the number goes.
if n is a prime factor of both 15 and 50, what is the value of n?
Answer:
5
Step-by-step explanation:
Take a look at all the prime factors of 15:
3, and 5 are all the prime numbers by which 15 is divisible.
Next, do the same for 50.
2, and 5 are all the prime numbers by which 50 is divisible.
The only common prime factor is 5.
Oliver is working with square tiles that are 3/4 inch on each side. What is the area of each tile?
Answer:
the area should be 3/4
Step-by-step explanation:
The following table shows ordered pairs for a linear function x. Which one of the following equations was used to generate this table?
Answer:
b
5x+3
Step-by-step explanation:
5×3=15+4=18
5×4=20+3=23
5×8=40+3=43
5×10=50+3=53
hope this helps