Step-by-step explanation:
Simplify the equation to find the value of a.
Subtract 4a from both sides:
[tex] - 3a - 15 = - 3[/tex]
Add 15 to both sides:
[tex] - 3a = 12[/tex]
Divide each side by -3:
[tex]a = - 4[/tex]
This is a similar triangle please find the missing length. (?)
Answer:
33
Step-by-step explanation:
In ΔPQR,
length of side=
77= 7×11
84= 12
Similarly, In ΔFGH
length=
36=3×12
so, the other side= 3×11= 33
Answer:
33
Step-by-step explanation:
[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values
[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply
84*?=36*77
84*?=2772, divide both sides by 84 to get ? by itself
?=33
8. Is this number correctly written in scientific notation? 6.875 x 10 yes O no
Answer:
No
Step-by-step explanation:
I believe you have to approximate or round it off.
that will be 6.9.
Use the Distributive Property to write an expression equivalent to 4(5x + 11)
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If you’re doing the DISTRIBUTIVE PROPERTY... all you have to}\\\large\text{MULTIPLY 4 within your PARENTHESES.}[/tex]
[tex]\large\text{}[/tex][tex]\large\text{4(5x) + 4(11)}[/tex]
[tex]\large\text{4(5x) = 20x}[/tex]
[tex]\large\text{4(11) = 44}[/tex]
[tex]\large\text{\bf = 20x + 44 }[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 20x + 44}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:}[/tex]
[tex]\large\text{Your GUIDE}\downarrow[/tex]
[tex]\textsf{Distributive formula}[/tex]
[tex]\textsf{a(b + c)}[/tex]
[tex]\textsf{a(b) + a(c)}[/tex]
[tex]\textsf{= ab + ac}[/tex]
Please help! 30 points!
Use the Law of Cosines to solve the problem.
A ship travels due west for 83 miles. It then travels in a northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction? Show your work.
Answer: [tex]64.2^{\circ}[/tex]
Step-by-step explanation:
According to the cosine rule
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]
Putting values
[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]
So, the ship turns by [tex]64.2^{\circ}[/tex] north of west
The ship turned an at angle of 64.2 degrees north of west
Represent the angle, the ship turned due north of west with theta.
From the figure, we have the following equation
[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]
So, we have:
[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]
Evaluate the expression on the right-hand side
[tex]\cos(A) = -0.4350[/tex]
Take the arc cos of both sides
[tex]A = \cos^{-1}(0.4350)[/tex]
[tex]A =115.8^o[/tex]
The value of theta is then calculated as:
[tex]\theta = 180 -A[/tex]
This gives
[tex]\theta = 180 -115.8^o[/tex]
[tex]\theta = 64.2^o[/tex]
Hence, the ship turned an at angle of 64.2 degrees north of west
Read more about bearing and elevation at
https://brainly.com/question/19594654
Problem PLS HELP MY GRADES GOING DOWN
Answer:
$248
Step-by-step explanation:
given:
4 deposits
$62
solve:
4 × $62= $248
Answer:
$248
Step-by-step explanation:
You can answer it two ways:
1) add 62 + 62 + 62 + 62 = 248
2) multiply 4 * 62 = 248
Answer: $248
I need help ASAP please
Answer:
It's actually B
Step-by-step explanation:
The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.
So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B
Geomotry 10th grade easy 25 points
Answer: 1=60°
Step-by-step explanation:
First, let's take our given angle of 30°
30° is in a right triangle, so the angles must be 90°, 60°, and 30°
Now the angle that is 45° makes angle 1 congruent to angle 60°
Meaning angle 1 is 60°
Answer:
m < 1 = 60
Step-by-step explanation:
Since the transversal is perpendicular to m,
it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.
We use vertically opposite angles property to bring m<1 in to the right triangle.
We now use the sum of interior angles property to obtain,
m < 1 + 30 + 90 = 180
This implies that,
m < 1 + 120 + 180
We group like terms to obtain,
m < 1 = 180 - 120
This means that,
m < 1 = 60
We could have also used corresponding angles property, then
m < 1 + 30 = 90
m < 1 = 90 - 30
m < 1 = 60
What is the multiplier?
A. 0.123
B. 0.111
C. 9
D. 81
Answer:
it is eather d or b
Step-by-step explanation:
Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you!
Answer:
I hope this helps a little bit.
(1.3x + 2.4) + (-6.1x – 3.2)
Step-by-step explanation:
In simplify form: 1.3x+2.4-6.1-3.2 = -4.8x-0.8
or factor the expression: =-4/5×(6x+1) Alternate form: -0.8(6x+1). I hope this helps.
How do we check for proportionality in tables?
A Pick 2 pairs from the table
B Cross multiply
C Divide
D All of the above
help please asap!!!!only the correct answet please
Answer:
B
Step-by-step explanation:
How many solutions can be found for the system of linear equations represented on the
graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answer:
No solution
Step-by-step explanation:
Use substitution
2x+1=2x-1
Subtract 2x on both sides
1= -1
No solution
Help! The screenshot is down below!!
Answer:
Step-by-step explanation:
A) Find the total minutes that Anna walked.To find the average number of minutes, divide the total minutes by total number of days
B) Average number of minutes =
[tex]\frac{15*9 + 30*5 + 40*7 + 45*3 + 50*6}{30}\\\\= \frac{135 + 150 + 280 + 135 + 300}{30}\\\\=\frac{1000}{30}\\\\= 33. 33[/tex]
(10*2)*3=( )* ( ) * ( )
=
=
Answer:
c= 10 d=2 e=10 f=2 g= 10 h= 6 k=1
Step-by-step explanation:
I am not sure about the g, h and k though.
but cube root means the number thrice.
I hope it helps.
If it takes Joan 10 weeks to make 2 dollhouses, how long will it take her to make 15 dollhouses?
10 points
A. 75 weeks
B. 3 weeks
C. 30 weeks
D. 150 weeks
Answer:
D 150 thats easy multiply or add
[tex] {x}^{2} - 6x - 12[/tex]
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?
Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know
h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)
w^2+18^2=30^2
w^2=30^2-18^2
w^2=900-324
w^2=576
w=24 in
I need help on this please!
Answer:
H, G, F, E
Step-by-step explanation:
If it isn't it's G, H, F, E
Hope this helps
Owen is going to an amusement park. The price of admission into the park is $40, and once he is inside the park, he will have to pay $2 for every ride he rides on. How much money would Owen have to pay in total if he goes on 7 rides? How much would he have to pay if he goes on rr rides? PLEASE
Answer:
He will pay $14 to go on 7 rides with admission he will pay a total of $54.
Step-by-step explanation:
Admission-40
One ride-2
40+(2x7)=54
WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY!!!!!!
LMNP is rotated 90' clockwise around the origin.
8
7
6
5
4
M(3, 4) N(5, 4)
3
2
1
LO1)
2
P19,0)
3
4
5
6
7
8
9
What are the coordinates of N'?
O A. N'(4,-5)
O B. N'(-5, -4)
C. N'(-4,5)
D. N'(5,-4)
Answer:
B
Step-by-step explanation:
Answer:
im not sure but it may be B as if i cant see the photo
Step-by-step explanation:
tell me if i got it right or wrong :)
anyone knows the answer
Determine the value of x in each figure.
HELPPPPP PLEASEEEEE
Answer:
15°
Step-by-step explanation:
120° and 8x are vertically opposite angles, which are always equal.
=> 8x = 120°
=> x = 120/8
=> x = 15°
30 divided by 12 pls hurry
Answer:
2.5 is the correct answer.
Step-by-step explanation:
Hope this helped Mark BRAINLEST!!!
A frying pan has a radius of 14 cm. What is the circumference of the pan?
what do you call the 9 in the statement 30% of 9 is 3
Answer: You call the 9 a base.
Step-by-step explanation: 3 is the percentage or part of the whole or base.
Answer:
9 is the base of the statement.
Step-by-step explanation:
Since 30% is the rate which shows a percent symbol. 9 is the base which is the basis of the statement. Then 3 is the percentage you got from the 30% of 9.
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale.
Answer:
x = 7[tex]\sqrt{2}[/tex] and y = 7
Step-by-step explanation:
Since this is 45 45 90 triangle, each leg is the same length so y = 7 too and x is always [tex]a\sqrt{2}[/tex] so x = 7[tex]\sqrt{2}[/tex]
The values of [tex]x[/tex] and [tex]y[/tex] are required.
The required values are
[tex]x=9.9\ \text{units}[/tex]
[tex]y=7\ \text{units}[/tex]
The given triangle is a right angled triangle.
Two given angles are [tex]90^{\circ}[/tex] and [tex]45^{\circ}[/tex]
The sum of the angles is [tex]180^{\circ}[/tex]
The missing angle is
[tex]180-(90+45)=45^{\circ}[/tex]
Since, the two angles are equal the side opposite the angles will also be equal.
So,
[tex]y=7[/tex]
Applying the Pythagoras theorem.
[tex]7^2+7^2=x^2\\\Rightarrow x=\sqrt{7^2+7^2}\\\Rightarrow x\approx 9.9[/tex]
Learn more:
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five less than three time a number is greater than two thrirds of that number
Answer:
3x - 5 > 2/3x
Step-by-step explanation:
find the median of data set: 23, 31, 32, 34, 39, 38, 38, 34, 38
Answer: 34
Hope this helps :)