Answers
Answer:
Step-by-step explanation:
Question 13.
By applying cosine rule,
cos(45°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2} }=\frac{10}{y}[/tex]
y = 10√2
By applying sine rule,
sin(45°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2} }=\frac{x}{y}[/tex]
[tex]\frac{1}{\sqrt{2} }=\frac{x}{10\sqrt{2} }[/tex]
x = 10
Question 15.
By applying sine rule,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{y}{32}[/tex]
y = 16√3
By applying cosine rule,
cos(60°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{x}{32}[/tex]
x = 16
Question 17.
By applying sine rule,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{11\sqrt{3} }{y}[/tex]
y = 22
By applying cosine rule,
cos(60°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{x}{y}[/tex]
[tex]\frac{1}{2}=\frac{x}{22}[/tex]
x = 11
Related Questions
Help ASAP! Find The Area Of A Circle With R =20.5
Answers
Answer:
Step-by-step explanation:
Pi*r^2 = Area
20.5^2 * Pi = 1320.25
*Will mark brainliest* Can someone explain this to me?
Answers
Is right
Hope that helped XD
The slope of AB of problem 7 is
Answers
Answer:
Slope of line is 0 and intercept is 7 Step-by-step explanation:
Which situation CANNOT be represented by this equation? 6−7=29 6 x - 7 = 29 CLEAR CHECK Joel earns $7 $ 7 per hour to mow his aunt's lawn. If he spends $6 $ 6 on gas, how many hours, x , will he need to mow to have $29 $ 29 left? Joel mows his aunt's lawn for $6 $ 6 per hour. If he spends $7 $ 7 on gas, how many hours, x , will he need to spend mowing the lawn to have $29 $ 29 left? Joel takes 6 6 hours to mow his aunt's lawn. If he spends $7 $ 7 on gas, how much does he get paid per hour, x , to mow the lawn and still have $29 $ 29 left?
Answers
Answer:
Joel earns $7 per hour to mow his aunt's lawn. If he spends $6 on gas, how many hours, x , will he need to mow to have $ 29 left?
Step-by-step explanation:
The given equation is :
6x - 7 = 29
It is given that total hours be = x
Joel earns $7 per hour, so the total earning of Joel in x hours is = $ 7x
He spends $6 on gas, so = 7x - 6
He is left with $ 29 after spending on gas.
Therefore, the equation becomes :
7x - 6 = 29
Clearly, it can be seen that in this case, the given situation cannot be represented by the given equation, i.e. 6x - 7 = 29.
Please Answer This, the question is on the picture. it needs to be a fraction
will mark brainllest if its right, no links!
(for hamster dude)
Answers
Answer:
x = 27.2 or 27 1/5
Step-by-step explanation:
cos 54° = 16/x
x = 27.2 or 27 1/5
Triangle ABC has a side length of 8 and is dilated to Triangle XYZ with a side length
of 4. Is this a reduction or enlargement, and what is the scale factor?
v
Enlargement; scale factor of 1/2
Reduction; scale factor of 2
Enlargement; scale factor of 2
Reduction; scale factor of 1/2
Answers
The equation below has infinitely many solutions.
-3 (x – 3) – 1 = ax + b
True
False
Answers
Answer:
False
Step-by-step explanation:
16. Find the perimeter of AJKL.
J
8x - 35
N
5x - 8
77-9
K
Р
M M
2y + 11
o
32
L
Answers
Answer:
Parameter OF Δ JKL = 138 unit
Step-by-step explanation:
Given:
JN = 8x - 35
NK = 7y - 9
OK = 2y + 11
OL = 32 - [2y + 11]
JM = 5x - 8
Find:
Parameter OF Δ JKL
Computation:
We know that tangent from same points are always equal
So,
ML = OL
JM = JN
5x - 8 = 8x - 35
8x - 5x = 35 - 8
3x = 27
x = 9
So,
JN = 8x - 35
JN = 8(9) - 35
JN = 37 unit
JM = 5x - 8
JM = 5(9) - 8
JM = 37 unit
NK = OK
7y - 9 = 2y + 11
5y = 20
y = 4
NK = 7y - 9
NK = 7(4) - 9
NK = 19 unit
OK = 2y + 11
OK = 2(4) + 11
Ok = 19 unit
OL = 32 - [2(y) + 11]
OL = 32 - [2(4) + 11]
OL = 13 unit
So,
LM = OL = 13 unit
Parameter OF Δ JKL = JN + NK + OK + OL + LM + JM
Parameter OF Δ JKL = 37 + 19 + 19 + 13 + 13 + 37
Parameter OF Δ JKL = 138 unit
Answer:
Step-by-step explanation:
g
After six rolls of a standard die, the experimental probability of rolling a 3 is 26. What do you expect will happen to the experimental probability if the die is rolled 90 more times? Explain.
Answers
Answer:
The experimental probability should get closer to the theoretical probability of 1/6 with more trials.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Experimental probability:
The number of desired outcomes is taken from the results of an experiment.
Theoretical probability:
Found before the experiment happens.
For a large number of trials, the experimental probability will be closer to the theoretical probability.
In this question:
A standard die has 6 sides, one which is 3. So the theoretical probability of rolling a 3 is 1/6.
After six rolls of a standard die, the experimental probability of rolling a 3 is 2/6.
The experimental probability, after six rolls, is 2/6 = 1/3.
What do you expect will happen to the experimental probability if the die is rolled 90 more times?
As the number of trials increase, the experimental probability is expected to get closer to the theoretical probability, which in this case is 1/6.
(10-4)²(12+10/2)=_________
Answers
Answer:
should be 612
Step-by-step explanation:
Answer:
(10-4)²(12+10/2)=
(6)²(12+5)=
(36) (17) = 612
Can someone please help me on this and show work if you can? Thanks!
Answers
Answer:
area = 18.81 m²
Step-by-step explanation:
solving for the 7 sided polygon first:
divide into 7 equal isosceles triangles, each having sides of 10 m and a peak angle of 360°/7 = 51.43°. Drop a line from the peak & perpendicular to the base makes a right triangle with a 25.71° peak angle and a 10 m hypotenuse.
sin 25.71° = x/10, x = 4.34, the base of the full triangle will be 2 x 4.34 = 8.68 m
cos 25.71° = x/10, x = 9.01, the rise of the triangle is 9.01 m
The area of each triangle will be 1/2(8.68)(9.01) = 39.10 m²
39.10 x 7 triangles = 273.72 m²
area of 7 sided polygon = 273.72 m²
Next solve for the inner circle:
The rise of the triangle (9.01) is the radius of the inner circle.
area of inner circle = πr² = 3.14(9.01²) = 254.91 m²
273.72 - 254.91 = 18.81 m²
What is the mean? 2, 4, 7, 5, 8, 10
Remember- add all the
numbers, and then divide by the total
amount of numbers
6
9
5
36
Answers
Answer:
6
Step-by-step explanation:
2+4+7+5+8+10
=36÷6
=6
Translate into an equation: Twenty-six more than the product of a number and
17 is -42.
Answers
“the product of a number and 17” = 17n
“twenty six more than” = + 26
And if the next question has you solve it:
17n + 26 = -42
Subtract 26 from both sides
17n = -68
Divide both sides by 17
n = -4
сть
b
d
a
If mza = 2.m2b, mzc = 60', and the right angles are labeled in the figure, which of the following
produce an acute angle? Select all that apply
Answers
Answer:
a and c
Step-by-step explanation:
i need help with this questionn
Answers
Using the information in part A, interpret the meaning of the quotient in terms of the two fractions given
Answers
Answer:
hello the information in part A is missing below is the missing information
How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work
answer : 8
Step-by-step explanation:
The quotient in terms of the two fractions
Determine 2/3 foot that can be gotten from 5 1/3
Divide 5 1/3 by 2/3 ( how to get quotient )
= 5 1/3 / 2/3
= (16 / 3 ) / ( 2/3 ) ( meaning of the quotient )
= 8
Can someone explain why the statement is true. Will Mark brainliest.
Answers
Answer:
The triangle is isosceles.
Step-by-step explanation:
This means that one angle's sine is the same as the other's cosine.
CAN SOMEONE HELP!!?????
Answers
Answer:
C. 28
Step-by-step explanation:
40% + 30% = 70%
70% of 40 students
0.70 x 40 = 28
Let me know if this helps!
PLEASE HELPPPPPPPPPPPP
Answers
Answer:
Half of 7 is 3.5
That would be your radius.
3.5^2 x 3.14
12.25 x 3.14 = 38.465 yd2 <--------- area
3.14 x 3.5 x 2 = 21.98yd <------- perimeter
The center and a point on a circle are given. Find the circumference to the nearest tenth.
center:(−15, −21);
point on the circle: (0, −13)
The circumference is about ?
Answers
Answer:
Circumference ~ 106.8
Step-by-step explanation:
Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is 17. Plug 17 into the formula 2(pi)r to find the Circumference. The answer is 106.8 rounded to the nearest tenth.
5x + 1 = 6x - 8 x= como puedo resolverla
Answers
Answer:
X = 9
Step-by-step explanation:
!!!!!!!!!! !!!!!!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
6.5 * 24 = 156
Therefore B
What’s the answer???
Answers
Answer:
10 stickers on one sheet
Step-by-step explanation:
96 - 16 ÷ 8 =
80 ÷ 8 = 10
have a nice day! :)
The origin was used as the center of dilation to dilate quadrilateral ABCD as shown below.
Which algebraic representation best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D?
Answers
Answer:
x, y) → (1.5x, 1.5y)
Step-by-step explanation:
The cost of a banquet at Nick's Catering is $215 plus $27.50 per person. If
the total cost of a banquet was $2827.50, how many people were invited?
Answers
Answer:
x = 95
Step-by-step explanation:
Given that,
The cost of a banquet at Nick's Catering is $215 plus $27.50 per person
The total cost of a banquet was $2827.50
We need to find the number of people invited. Let there are x people. So,
215+27.5x = 2827.50
27.5x = 2827.50 -215
27.5x = 2612.5
x = 95
So, there are 95 people that were invited.
Jay is decorating a cake for a friend's birthday. They want to put gumdrops around the edge of the cake which has a 12 in diameter. Each gumdrop has a diameter of 1.25 in. To the nearest gumdrop, how many will they need?
Answers
Answer:
The nearest gumdrop required will be 30.
Step-by-step explanation:
We will find the circumference of the cake which has 12 inches diameter
Radius = diameter / 2 = 12 / 2 = 6 inches
C = 2 x 3.14 x radius
C = 2 x 3.14 x 6 = 37.68 inches
The gum drop dia = 1.25 inches
The total gum drops required to cover 37.68 inches = 37.68 / 1.25 = 30.144
The nearest gumdrop required will be 30.
Carissa’s gerbil has a tail that is the same length as its body length. Its tail is 102 millimeters. How long is her gerbil in centimeters?
Answers
Answer:
...
Step-by-step explanation:
the answer is 10.2 :)
A blue circular target is tacked onto a square corkboard. The area of the target is 75 square units. What is the area of the corkboard that is not covered by the target?
Answers
Complete the table for the given rule. 1 Rule: y = x 4 х y 1 4 13 4 2 을
Answers
Answer:What is the symbol at the end?
Step-by-step explanation:
The distance from the
coffee shop to the
school is 10 miles. On
the map, the coffee
shop is 7.5 inches from
the school. Which one
of the following gives
the scale used
on the map?
A. 5 inches = 2 miles
B. 4 inches = 3 miles
C. 2 inches = 5 miles
D. 3 inches = 4 miles