Given:
The figure.
To find:
The value of a.
Solution:
We know that, in a right angled triangle
[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan (38^\circ) =\dfrac{6}{a}[/tex]
Multiply both sides by a.
[tex]\tan (38^\circ)\times a=6[/tex]
Divide both sides by [tex]\tan (38^\circ)[/tex]
[tex]a =\dfrac{6}{\tan (38^\circ)}[/tex]
The value of a is [tex]\dfrac{6}{\tan (38^\circ)}[/tex].
Therefore, the correct option is b.
whats 4+x=6 ( i really need help)
Answer:
2
Step-by-step explanation:
4+x=6 = 6-4=x
x=2
Answer:
2
Step-by-step explanation:
6-4=2
x=2
4+2=6
Hurry please I’m being timed
Which equation represents the function shown on the
graph?
O y=1/4x
O y=1/2x
O y=2x
Oy=4x
I'm pretty sure it is c I dknt remember
Answer:
The Answer is D, not C I just took the test and got it wrong!
Step-by-step explanation:
The correct test answers are:
1: B 7: A
2: C 8: B
3: C 9: D
4: D 10: A
5: D
6: B
Hope This Helps!
Find the missing value. 7/8 = x/28.8 Please help, I clearly have no brain cells left, and I have the brain capacity of a Carrot ;-;
============================================
Work Shown:
7/8 = x/28.8
7*28.8 = 8*x .... cross multiply
201.6 = 8x
8x = 201.6
x = 201.6/8 ... divide both sides by 8
x = 25.2
The missing value of x is 25.2.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let the missing value is x.
Given:
7/8 = x/28.8
7(28.8) = 8x
Cross multiply;
201.6 = 8x
8x = 201.6
x = 201.6/8
Divide both sides by 8;
x = 25.2
Hence, The missing value of x is 25.2.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
the mass of a 30 cm³ stone is 180 g , find it's density
Answer:
The density of the stone is 6 g/cm³
Step-by-step explanation:
The rule of denisty is d = M ÷ V, where
M is the massV is the volumeLet us use this rule to solve the question
∵ The volume of the stone is 30 cm³
∴ V = 30 cm³
∵ The mass of the stone is 180 grams
∴ M = 180 g
→ Substitute them in the rule above to find d
∵ d = 180 ÷ 30
∴ d = 6 g/cm³
∴ The density of the stone is 6 g/cm³
help me plz and thanks
Answer:
A, the solutions are x=3,2
Step-by-step explanation:
can someone help me with this pls no bull sh answers
Answer:
(x-1)(-3x-7)
Step-by-step explanation:
To find this answer I used this method:
Make ‘y’ the subject of the formula ax + by=k
Answer:
[tex] y = \frac{k - ax}{b} [/tex]
Step-by-step explanation:
[tex]ax + by = k \\ \\ by = k - ax \\ \\ \huge \red{y = \frac{k - ax}{b} }[/tex]
Aunt Maggie’s car broke down on Interstate 10. Sam’s Towing charges a $57 hook up fee and $2.00 per mile towed. Regina’s Towing charges a $45 hook up fee and $2.50 per mile towed .Write a system of equations to represent the charges for the two towing companies. When will they charge the same amount?
Answer:
a and b
Step-by-step explanation:
yes
The perimeter of a rectangle is 50 m and
breadth is 9m . Find its length
Answer:
16m
Step-by-step explanation:
P =2(L+w)
50 = 2(L + 9)
50 = 2L + 18
50 -18 = 2L
32 =2L
L = 16m
Raina drank 5 L 400 ML of water on the first three days of the week each. The next 2 days she drank 3 L each and the remaining days of the week she drank only 1.500 L each . How much water did she drink in that one week?
Answer:
She drank a total of 17 L 400 ML
Step-by-step explanation:
Here, we want to know the amount of liters of water drank in the week
In the first three days;
5L 400 ML;
Next two days 3 L each = a total of 6 L
Remaining 4 days; 1.5 L each which is a total of 4 * 1.5 = 6 L
Total amount drank will be;
6 + 6 + 5L 400 ML
= 17L 400 ML
Fill in the gaps to factorise this expression
12+2x= 2(_+_)
The complete expression will be written as 12+2x = 2( 6 + x).
What does a mathematical expression mean?
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
This mathematical operation may be addition, subtraction, multiplication, or division.
Given expression is 20x + 12 = 4(_+_). The value of the missing terms will be calculated as,
2( 6 + x)
= 12 + 2x
12+2x = 2( 6 + x)
Therefore, the complete expression will be written as 12+2x = 2( 6 + x).
Learn more about expression
brainly.com/question/14961928
#SPJ1
Help me solve this scale factor! (i’ll give brainlist)
80% of the tickets sold at a water park were child tickets. If the park sold 55 tickets in all,
how many child tickets did it sell?
Answer: 44
Step-by-step explanation: .8X55 = 44
On a test Jenna gets 85% of the questions correct, Linda get 32 out of 40 questions correct, Karl gets 7/8 correct, and julie gets 0.83 of the questions correct. List the students in order from lowest to higest.
Answer:
Linda, Julie, Jenna, Karl
Step-by-step explanation:
Here, we want to list the students in order from lowest to highest
The key here is to have the scores in the same form, let us say decimals for ease of comparison
Jenna: 85% = 85/100 = 0.85
Linda’s= 32/40 = 80% = 0.8
Karl = 7/8 = 0.875
Julie = 0.83
So from lowest to highest, we have;
Linda, Julie, Jenna, Karl
find vertex and axis of symmetry
-3(x-4)^2+1
Answer:
vertex=(4,1)
aos:x=4
I’ll give brainliest to first person to answer!!
Answer:
7.05
Step-by-step explanation:
Answer: The answer is 7.05m
explanation: Joshua had a piece of rope that was 7.14 meters long he cut off 0.09 meter to practice making knots what was the length of the rope after the cut
Three baby penguins and their father were sitting on an iceberg
0.5
0.50, point, 5 meters above the surface of the water. The father dove down
4.7
4.74, point, 7 meters from the iceberg into the water to catch dinner for his kids.
Answer:
-4.2
Step-by-step explanation:
0.5 - 4.7= -4.2
Answer:
The answer for khan Is -4.2
Step-by-step explanation:
(Its a negative not positive)
PLEASE HELP, I ONLY HAVE A FEW MINUTES TO TURN THIS IN BEFORE ITS NOT ACCEPTED!!
Jamila wants to play a game called "Guess my line". She gives you the following hints:
"Two points on my line are (1,1) and (2,4)
- What is the slope of her line?
- What is the y-intercept?
- What is the equation?
Answer:
The slope is 3, the y- intercept is -2, and the equation is y= 3x - 2
Answer:
[tex] \Large \pink{\tt \dfrac{i dunno}{..}}[/tex]
39/9 as a repeating decimal
Answer:
4.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
just do it
eight hundred ninety-one billion, nine hundred sixty-two million, one hundred seventy-two thousand, four hundred nine
Write the standard form of the number shown.
Answer:
891,962,172,409
Step-by-step explanation:
that is standard form
Which one is the answer
Answer:
B is the answer
Step-by-step explanation:
Two boats, A and B, are approaching a port. The distance between the boats is 12 miles. The bearings of the port with respect to boat A and boat B are N 60° W and N 35° E respectively. How far is boat A from the port? A. 11.02 miles B. 9.87 miles C. 8.23 miles D. 4.54 miles
The distance from boat A to the port is approximately 5.196 miles.
Let's let point P represent the port.
Here A represent boat A and B represent boat B.
It is also given distance between A and B as 12 miles.
Next, we are finding the angles which boat A and boat B make with the line connecting them.
Let's call this line AB.
We can find these angles by subtracting the given bearings from 180 degrees.
For boat A, the angle it makes with AB is 180° - 60° = 120°
For boat B, the angle it makes with AB is 180° - 35° = 145°
Now we can use trigonometry to find the distance from boat A to the port. Let's call this distance x.
We can use the law of sines, which states
sin A / a = sin B / b = sin C / c
where A, B, and C are angles of a triangle and a, b, and c are the side lengths opposite those angles.
In our case, we can use the angle at boat A (which is 60 degrees) and the angle at the port (which is 120 degrees) along with the side opposite the angle at boat A (which is x) and the side opposite the angle at the port (which is 12-x), sin 60° / x = sin 120° / (12 - x)
We are Simplifying,
√3 / x = √3 / (12 - x)
Multiplying both sides by x(12-x),
12√3 - 3x√3 = x√3
Simplifying further,
12√3 = 4x√3
Dividing both sides by 4√3,
x = 3√3
Therefore, the distance from boat A to the port is approximately 5.196 miles.
Learn more about distance here,
https://brainly.com/question/26046491
#SPJ1
The weights of dogs at a kennel are Normally distributed with a mean of 18 pounds and a standard deviation of 3.5 pounds.In which percentile is a dog who weighs 25 pounds?
Answer:
P(x=25)=P(z=2)=0.9972 or 99.72%
Step-by-step explanation:
Mean = 18 pounds
Standard Deviation = 3.5 pounds
x= 25
We need to find P(x=25)
First, we need to find z-score using formula: [tex]z-score=\frac{x-\mu}{\sigma}[/tex]
Finding z-score when x=25
[tex]z-score=\frac{x-\mu}{\sigma}\\z-score=\frac{25-18}{3.5}\\z-score=2[/tex]
So, we need to find P(z=2)=P(x=25)
Looking at z-score table we can find P(z=2)
P(z=2)=0.9972 or 99.72%
So, P(z=2)=0.9972 or 99.72%
Answer:
97.5th percentile
This is the right answer edge 2020
Step-by-step explanation:
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is 2/7
There are 16 red marbles in the bag and each is equally likely to be chosen.
Work out how many marbles in total there must be.
Answer: 56
Step-by-step explanation:
Given that :
Marbles in bag are only red and blue ;
Probability of randomly choosing a red = 2/7
Number of red marbles in bag = 16
The total Number of marbles =?
P(choosing a red marble) = required outcome / Total possible outcomes
Required outcome = number of red marbles
Total possible outcomes = total number of blue and red marbles
Total number of blue and red marbles = x
P(choosing a red marble) = required outcome / Total possible outcomes
2/7 = 16 / x
Cross multiply
2x = 16 * 7
2x = 112
x = 112 / 2
x = 56 marbles
Total number of marbles = 56
I need help on thuss ASAP!
If ∠4 ≅ ∠5 then ∠5 ≅ ∠4.
Is it symmetric property of congruence or reflexive property of congruence
PLEASE HELP ME ILL MARK YOU AS BRAINLEST JUST PLEASE ITS FOR MY FINAL
The options are
0
1
2
4
Answer:
it is 1
Step-by-step explanation:
because the line goes through 1 on the y-axis
Answer:
The answer is 1
Step-by-step explanation:
A bag of oranges weighs
5
1
4
pounds. How much does
1
1
2
bags weigh?
514 x 112 = 57568
---------------------------
Answer:
5 1
4
×
1 1
2
=
21
4
×
3
2
=
21 × 3
4 × 2
=
63
8
=
7 7
8
Step-by-step explanation:
HAVE A GOOD DAY!!!Please help!!!!
A 1 and 3 only
B 2 only
C 1 and 2 only
D 1 only
Step-by-step explanation:
D I think sorry if it's wrong :(
Lucille has an aquarium with 9 gallons of water which weighs 85 pounds. The stand holding the aquarium can hold no more than 112 pounds. She wants to add 2.5-pound rocks, r, her tank. Complete the inequality to show how many rocks she can add. R≤
Answer:
[tex]r\leq 10.8[/tex]
OR
[tex]r\leq 10[/tex]
Step-by-step explanation:
Given that:
Amount of water in the aquarium = 9 gallons
Weight of water in the aquarium = 85 pounds
Total weight that aquarium can hold = 112 pounds
Weight of each rock = 2.5 pounds
To find:
The inequality to find the number of rocks, [tex]r[/tex] that can put in her tank.
Solution:
First of all, let us find more weight that the aquarium can hold after putting the water in the aquarium.
Additional weight that can be put in the aquarium = Total weight - Weight of water = 112 - 85 = 27 pounds
This 27 pounds can be of rocks.
Let the number of rocks that can be put in the aquarium = [tex]r[/tex]
Total weight of [tex]r[/tex] number of rocks = Weight of one rock multiplied by [tex]r[/tex]=2.5[tex]r[/tex]
Now, this weight of rocks must be lesser than or equal to 27 pounds.
Therefore, the in equality is:
[tex]2.5r\leq =27\\\Rightarrow r \leq 10.8\\OR\\\Rightarrow r \leq 10[/tex]