Answer:
[tex]B=48.7\\[/tex]
[tex]c=61.3[/tex]
[tex]b=12[/tex]
Step-by-step explanation:
Using sines law for triangles,
[tex]\frac{15}{sinA} =\frac{14}{sinc} =\frac{b}{sinB} \\\\A= 70[/tex]
⇒ [tex]\frac{15}{sin70} =\frac{14}{sinC} =\frac{b}{sinB}[/tex]
⇒ [tex]\frac{15}{0.9397} =\frac{14}{sinC}=\frac{b}{sinB}[/tex]
⇒ [tex]15.9625=\frac{14}{sinC}[/tex]
⇒ [tex]SinC=\frac{14}{15.9625}=0.8771[/tex]
⇒ [tex]C=Sin^{-1}(0.8771)=61.29[/tex]
⇒ [tex]C=61 ~ or ~ 61.30[/tex]
[tex]\frac{b}{Sin B}=15.9625[/tex]
Now sum of angles a Δ is 180°
A+B+C=180°
[tex]70+B+61=180[/tex]
[tex]B=180-131=49~ or ~ 48.7[/tex]
[tex]b=sin(48.70)(15.9625)=(0.7547)*(15.9625)= 12.0[/tex]
╔════ ∘◦ ☆ ◦∘ ══════╗
hope it helps..
have a great day!!
╚═════ ∘◦ ❉ ◦∘ ═════╝
If
y
=
9
, evaluate the following expression:
4
y
+
10
Answer: 46
Step-by-step explanation:
4(9)+10
36+10
46
Answer:
46
Step-by-step explanation:
4y + 10
4(9) + 10
36 + 10
46
Given the equation: y = 3 (2x - 1) Complete the table of values. y - 1 0 9
Answer:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Step-by-step explanation:
Which number is the numerator in the fraction 1/2
Answer:
1
Step-by-step explanation:
The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.
[tex]\frac{Numerator}{Denominator}[/tex]
Answer:
The numerator is 1.
Step-by-step explanation:
The numerator is the number above the fraction bar; the denominator is below.
[tex]\frac{denominator}{numerator} -\frac{1}{2}[/tex]
What is v29?
Place a dot on the number line at the best approximation.
2.
3
4
5
6
Answer:
Please read explanations
Step-by-step explanation:
By direct calculations, we know that the nearest perfect square to 29 is 25
The next is 36;
Hence, since 29 is between 25 and 36; it is only proper that the square root of 29 is also between the square roots of both numbers
So, we can conclude that the square root is between 5 and 6
For actual values by calculating, we have this as 5.38 which to the nearest number is 5.4
so, we have the dot at the next 4 small lines after the number 5
Consider the figure below.
Line segment AD, Line segment BE, and line segment CF are medians concurrent at G.
Which of the following statements is true?
A FG=1/2 GC
B ED=2/3 AB
C BG=1/2 BE
D GD=2/3 AD
Answer:
A: FG = ½GC
Step-by-step explanation:
Since AD, BC and CD are medians concurrent at G, it means G is the centroid.
Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.
Also,that the median touches the side of the triangle at their midpoints.
Thus,by inspection, we can say that;
GD = ⅓AD
GC/FG = 2/1
Thus, GC = 2FG and FG = ½GC
BG = ⅔BE
Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.
8 – 12 + 16 - ( 35 + 19 -13 – 32 + 28 ) – 6 + (17 – 20 + 13 – 5 )
Problems 1-2, which symbol should be used to make the values true; > or
Answer:
1. <
2. <
Step-by-step explanation:
Have a good day :)
The label for area will always be the units
(feet, centimeters, inches, etc) squared.
Which labels below represent units
squared? Choose all that apply!
cm
mm2
in2
be
mi
ft2
4) Number of rational numbers between – 3 and – 4 are _______ *
1 point
Uncountable
4
2
3
Answer:
uncountable
Step-by-step explanation:
----------------uncountable-----------------
Write the equation of the line with slope -7/8 and y-intercept of -4/5
Answer:
y= -7/8 - 4/5
Step-by-step explanation:
y=mx+b
y= -7/8 + y intercept (b)
so y= -7/8 - 4/5
Five hats and three scarves cost $99. While three hats and five scarves cost
$85. Find the cost of one hat.
Answer:
x=15, y=8
15 hats and 8 scarves
Step-by-step explanation:
hats=x
scarves=y
5x+3y=99
3x+5y=85
help what is the quadratic equation because I think I did it wrong
Answer:
Exact form:
[tex]x=\sqrt{17} +3,-\sqrt{17} +3[/tex]
Step-by-step explanation:
Take the root of both sides and solve.
Cylinder X and Cylinder Y are similar. The volume of Cylinder Y is 89 in. Find the volume of
Cylinder X
4 cm
!!
22 cm
Cylinder X
Cylinder Y
O A. 45 cm
OB.
712 cm3
O C.
178 cm3
Answer:
Volume of Cylinder X = 712 cm³
Step-by-step explanation:
Given:
Volume of Cylinder Y = 89 cm³
Radius of cylinder Y = 2 cm
Radius of cylinder X = 4 cm
Find:
Volume of Cylinder X
Computation:
We know that, Cylinder X and Cylinder Y are similar
So,
Volume of Cylinder X / Volume of Cylinder Y = [Radius of cylinder X / Radius of cylinder Y]³
Volume of Cylinder X / 89 = [4/2]³
Volume of Cylinder X / 89 = [2]³
Volume of Cylinder X / 89 = 8
Volume of Cylinder X = 8 x 89
Volume of Cylinder X = 712 cm³
Is this a polygon or trapezoid? A. Yes B. No
Answer:
No
Step-by-step explanation:
Look at the shape a polygon is 5 sides while a trapezoid has only 4 sides
Answer:
No. :) Reason: Trapezoids have to have at least on pair of parallel lines; this polygon has none.
WILL GIVE BRAINLIEST *NO LINKS*
Answer:46%
Step-by-step explanation:
Answer:
23/50 or 46%
Step-by-step explanation:
I just added red and purple out of the total(red+purple/total=11+12/50=23/50)
then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)
What is the slope of a line that passes
through the points (-1, 1) and (1, -15)?
Answer:
-8
Step-by-step explanation:
y2 - y1 / x2 - x1
-15 - 1 / 1 - (-1)
= -16 / 2
= -8
What is the equation of the following line? Be sure to scroll down first to see all answer options. (0, 0) (3,-9)
Answer:
Equation to find the slope
[tex]\frac{y2-y1}{x2-x1} =\frac{-9-0}{3-0} = -9/3 = -3x[/tex]
y=-3x
hope that answers your question
Step-by-step explanation:
Answer: C. y = -3x
Step-by-step explanation:
Since the line runs through the origin (0, 0), we don't have to write a y-intercept. To calculate the slope, we determine the change in y value over the change in x value.
Looking at the graph, we see that for every +1 x, we have -3 y, so the slope is -3, which we multiply by x in the equation.
How did my teacher get 70?- like I don’t understand
Answer:
Each triangle has angles and all of those angles add up to 180 degrees total. since both of those angles at the bottom are equal then their angles would each be 70.
Answer:
70
Step-by-step explanation:
180°-40°=140°
140°/2
=70
) () = 2 − 6 + 13 Translate f(x) 7 units to the left and down 5 units. Write your new function in vertex form
Answer:
[tex]y= (x -4)^2 - 1[/tex]
[tex]Vertex = (4,-1)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 + 6x+13[/tex]
Required
7 units left and 5 units down
First, we have: [7 units left]
The rule is:
[tex](x,y) \to (x-7,y)[/tex]
So, we have:
[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]
Next, we have: [5 units down]
The rule is:
[tex](x,y) \to (x,y-5)[/tex]
So, we have:
[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]
[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]
Rewrite as:
[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]
Expand
[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]
Collect like terms
[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]
[tex]y = x^2 -8x +15[/tex]
To write in vertex form, we have
Subtract 15 from both sides
[tex]y -15= x^2 -8x[/tex]
Divide (-8) by 2; Add the square to both sides
[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]
[tex]y -15+ 16= x^2 -8x + 16[/tex]
[tex]y +1= x^2 -8x + 16[/tex]
Expand
[tex]y +1= x^2 -4x - 4x + 16[/tex]
Factorize
[tex]y +1= x(x -4) -4(x - 4)[/tex]
Factor out x - 4
[tex]y +1= (x -4)(x - 4)[/tex]
Rewrite as:
[tex]y +1= (x -4)^2[/tex]
Make y the subject
[tex]y= (x -4)^2 - 1[/tex]
The vertex is:
[tex]Vertex = (4,-1)[/tex]
In triangle DEF, find the missing side as an exact value:
Answer:
8.60
Step-by-step explanation:
the diagram is optically misleading.
how can the 5 side be longer than the 7 side ?
but ignore that.
the important thing is that this is a triangle with a 90 degree angle.
so, we use Pythagoras' formula : a^2 + b^2 = c^2
we know a and b as 7 and 5.
so, the equation is 7^2 + 5^2 = c^2
=> 49 + 25 = c^2
=> 74 = c^2
=> the missing side length c is
[tex] \sqrt{74} = 8.60[/tex]
please help:) see pic attached
Answer:
a. 7
b. 6
c. 5.2
d. 7
Step-by-step explanation:
a: The mode is the number that occurs the most. 7 occurs the most in the set.
B. I rearrange d the numbers in numerical order and then found the middle (where both sides surrounding the number are the same amount of numbers. This was 5 and 7 so to find the mean I added 5+7 and divided it by two to get the in between, 6!
c. I added all of the values and then divided them by the amount of total values in the data set.
so I did 1 + 2 +3+4+5+7+7+7+8+8 = 52
52/10 = 5.2
d. range is the greatest value by the least value. So I did 8 - 1 to get 7!
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is
the solution set of this problem?
(-0, -21)
(-00,-21]
[-21, +00)
(21, +00)
Answer:
let the number be x
5(x+27)>6(x+26)
5x+135>6x+156
5x-6x>135-156
-x>-21
×<21
(21,+00)
Gina can trade empty bottles for money at the grocery store. She returned a few bottles worth $0.10 each and 6 bottles worth $0.05 each . The clerk paid Gina $0.80 for all of the bottles . How many bottles worth $0.10 did Gina return?
Answer:
5 bottles
Step-by-step explanation:
a total of $0.80 was paid
6 $0.05 bottles were returned= $0.05×6= $0.30
remainder= $0.80-$0.30= $0.50
amount of $0.10 bottles returned= $0.50÷$0.10= 5
Plz help me thank you
Answer:
There are 5 shifts per day
Step-by-step explanation:
7 1/2 is equal to 7.5 and 1 1/12 is equal to 1.5
7.5/1.5= 5
At birth, the rhino weighed 85 pounds. The rhino gained the same amount of pounds each month for 6 months. After 6 months, the rhino weighed 493 pounds. How much weight did it gain each month?
Answer:
68 pounds a month
Step-by-step explanation:
so what i did is subtract 85 because that was the starting weight, now we have 408 I divided 6 (how many months) and got 68.
1
1) Hannah wants the area of her dog's rectangular play area to be 300 square feet. If one side of
the rectangle needs to be 12 feet long, how long will the other sides be?
300 sq ft
22 ft
I need help
Answer:
#1Rectangle area:
A = lwGiven:
l = 12 ft, A = 300 ft²Find w:
12w = 300w = 300/12w = 25 ft#2Perimeter is the sum of side lengths:
P = 2 1/4 + 5 2/5 + 5 17/20 =
2 + 5 + 5 + 1/4 + 2/5 + 17/20 =
12 + 5/20 + 8/20 + 17/20 =
12 + 30/20 =
12 + 1.5 =
13.5 ft
#3Cost of a shirt = $19.99Number of shirts = 6Total cost:
$19.99*6 = $119.94For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find mZF
(b) Find AB
с
D
60°
4
60
100
60°
m 2F = 0
AB = 0
Continue
© 2021M
Answer:
40
4
Step-by-step explanation:
a.) because the sides are the same their angles must be too
let x be the angle
100+x+x=180
x=40
b.) because the angles are all the same their sides must be too
4
4. The Monster is a roller coaster that uses a design
similar to the Ravine Flyer II. The Monster reaches
a height of 120 feet, but then drops to -25 feet.
Order the highest and lowest points of the two
roller coasters from least to greatest.
Answer:
asasasdcvxcvszs
Step-by-step explanation:dsadsdasz
plz help!! ty!!! :))
Answer:
19/18
Step-by-step explanation:
ii put it inna calculator
24 in
10 in
What is the length of the hypotenuse?
C=
inches
Answer: 26
Step-by-step explanation: