9514 1404 393
Answer:
6.2 feet
Step-by-step explanation:
The mnemonic SOA CAH TOA reminds you of the relationship between angles and sides of a right triangle. Here, we have the side opposite the 58° angle, and we want to know the side adjacent. The relevant relation is ...
Tan = Opposite/Adjacent
tan(58°) = (10 feet)/x
x = (10 feet)/tan(58°) ≈ 6.249 feet
The length of the shadow is about 6.2 feet.
The senior classes at High School A and High School B planned separate trips to the water park. The senior class at High School A rented and filled 14 vans and 2 buses with 270 students. High School B rented and filled 9 vans and 9 buses with 459 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Answer:
x = number of students in the van = 14
y = number of students in the bus = 37
Step-by-step explanation:
Let
x = number of students in the van
y = number of students in the bus
14x + 2y = 270 (1)
9x + 9y = 459 (2)
Multiply (1) by 9 and (2) by 2
126x + 18y = 2,430 (3)
18x + 18y = 918 (4)
Subtract (4) from (3)
126x - 18x = 2,430 - 918
108x = 1,512
x = 1,512 / 108
= 14
x = 14 students in each van
Substitute x = 14 into (1)
14x + 2y = 270
14(14) + 2y = 270
196 + 2y = 270
2y = 270 - 196
2y = 74
y = 74/2
= 37
y = 37 students in each bus
x = number of students in the van = 14
y = number of students in the bus = 37
Which statement must be true? The monthly salary of Shenika is less spread out than the monthly salary of Clarissa. The monthly salary of Kaila is less spread out than the monthly salary of Abi. The monthly salary of Abi is less spread out than the monthly salary of Shenika. The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
Answer: The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Step-by-step explanation:
Hi. Your question isn't complete but I got something close to it online.
The monthly mean salaries and standard deviations of four college students are given below. student mean standard deviation clarissa $345 12.53 abi $598 8.99 kaila $812 15.29 shenika $208 7.67 which statement must be true?
We can see that while Shenika has a mean of $208 and a standard deviation of 7.67, Clarissa has a mean of $345 and a standard deviation of 12.53. This simply means that monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Answer:
A - The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Step-by-step explanation:
edge
Please can you help me with this
plz help me due tommorow
Step-by-step explanation:
angle ABD = 180 - 116 = 64° (angles on a straight line are supplementary)
angle x = 2(64) = 128° (angle at centre = 2angle at circumference)
Topic: Circle properties
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Solve
493 km 43 m + 17 km 57 m
What is this answer
Answer:
510.1
Step-by-step explanation:
convert m to km by dividing by 1000 and add all of the numbers together
Buena snoches señorita hay esta mi estado de Cristopher Moreira
Answer:
Goodnight!!! :)
Step-by-step explanation:
Express each rate as a unit rate. Round to the nearest tenth when necessary.
24 songs in 55 minutes
Answer:
Each song is 2.3 minutes long
Step-by-step explanation:
55/24=2.3
Put these in order from LEAST to GREATEST: 8, -8, -8.4, 8.4 *
Answer:
-8.4,-8,8,8.4
Step-by-step explanation:
Learning Task 4. Solve the problem by applying the sum and product of roots
of quadratic equations.
The perimeter of a rectangular metal plate is 36 dm and its area is 80
dm². Find its dimensions. (Relate the measures to the sum and product of a
quadratic equation.)
The perimeter of a rectangle is twice the sum of its length and width while
its area is the product of its length and width. Such that,
Perimeter = 2(L+w) and Area = L•w.
Answer:
Thus, the dimensions of the metal plate are 10 dm and 8 dm.
Step-by-step explanation:
For a quadratic equation:
[tex]x^2+bx+c=0[/tex]
The sum of the roots is -b and the product is c. Note the leading coefficient is 1.
We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:
P=2(L+W)=36
A=L.W=80
Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.
Thus we use the semi perimeter instead as P/2=L+W=18
The quadratic equation is, then:
[tex]x^2-18x+80=0[/tex]
Factoring by finding two numbers that add up to 18 and have a product of 80:
[tex](x-10)(x-8)=0[/tex]
The solutions to the equation are:
x=10, x=8
Thus, the dimensions of the metal plate are 10 dm and 8 dm.
Anyone know the answer?
Answer:
8,748
Step-by-step explanation:
f(x) = [tex]12(3)^{x}[/tex]
f(6) = [tex]12(3)^{6}[/tex] = 12 × 9³ = 12 × 729 = 8,748
I NEED HELP ASAP
What is a furry? If I draw fursonas am I a furry? I am seriously questioning my life rn. Plz help.
Don’t hate on furries plz
Answer:
iam sorry but furries are good lg!!!
Furry can have two definitions. A furry is either an anthrophomorphic animal which has human characteristics or a person that shows interest in furries. If you draw other people's fursona, i don't think that makes you a furry tbh. If you show interest and if you have your own fursona and you're passionate about it, however, then yeah you're pretty much a furry. Being a furry isn't bad honestly, it's just a hobby. I'm a furry myself and i honestly love this fandom. I met a lot of great people!
help me fast please
[tex] \: \: \: \: \: \: \: \: \: \: 4y - 2(3y - 5) \\ \\ = > 4y- 6y + 10 \\ \\ = > \green{\boxed{ - 2y + 10}}[/tex]
whole page and will give brainliest
James's Dog, Buddy, is 2 years older than Fluffy, the neighbor's cat. Three Years ago, Buddy was three times older than fluffy. How old are the dog and cat now?
Answer: The cat is 4 years old, and the dog is 6 years old.
Step-by-step explanation:
We know that Buddy is 2 years old than Fluffy.
And 3 years ago, Buddy was 3 times older than Fluffy.
Let's define the variables:
B = age of Buddy
F = age of Fluffy.
The first statement can be written as:
B = F + 2
The second statement can be written as:
B - 3 = 3*(F - 3)
To solve this, we can replace the first equation into the second one, and solve that for F
B - 3 = 3*(F - 3)
(F + 2) - 3 = 3*F - 9
F - 1 = 3*F - 9
-1 + 9 = 3*F - F
8 = 2*F
8/2 = 4 = F
Fluffy is 4 years old, and with the first equation we can find the age of Buddy.
B = F + 2 = 4 + 2 = 6
Buddy is 6 years old
The required age of the dog buddy is 6 years old and the age of cat fluffy is 4 years old.
Given ,
James's dog buddy is 2 years older than Fluffy,
And the neighbor's cat Three Years ago, Buddy was three times older than fluffy.
Let ,
The age of buddy = B
The age of fluffy is = F
According to the question ,
Buddy, is 2 years older than Fluffy= Age of Buddy = Age of fluffy + 2 years older.
B = F +2
Again According to the question,
Three years ago age of Buddy = B - 3
Three years ago age of Fluffy = F - 3
Three years ago Buddy was three times older than fluffy = Three years ago age of Buddy = 3 × Three years ago Age of fluffy
B - 3 = 3 ( F - 3 )
Solving the equations,
B - 3 = 3 ( F - 3 )
Put the value of B from equation 1
F + 2 - 3 = 3 ( F -3 )
F - 1 = 3F - 9
F - 3F = - 9 +1
-2F = -8
2F = 8
[tex]F = \frac{8}{2}[/tex]
F = 4
The age of fluffy is 4 years old.
Then ,
The age of buddy
B = F + 2
B = 4 + 2
B = 6
The age of buddy is 6 years old.
The required age of the dog buddy is 6 years old and the age of cat fluffy is 4 years old.
For more information about system of equation click the link given below.
https://brainly.in/question/27545639
The ice-cream parlour sells 5 chocolate cones for every 3 vanilla cones it sells. On Saturday, 30 vanilla cones were sold. How many chocolate cones were sold that day?
Answer:
3:5 or 3/5 is equal to 30:50 or30/50
so the answer is 50 chocolate cones
What is the value of x? Please provide an explanation, thanks!
Answer:
x=6.25
Step-by-step explanation:
What you do is add up all the angles equal to 180 because a triangle always adds up to 180 degrees and you are given all angles.
Answer:
x = 25/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
(22x + 1)° + (6x - 17)° + (4x - 4)° = 180°
Step 2: Solve for x
Combine like terms: 32x - 20 = 180Isolate x term: 32x = 200Isolate x: x = 25/4Whats the answer for 0.15 + 0.36 i need help solving it.
Answer:
0.51
Step-by-step explanation:
okay I'm not good at explaining this but I'm going to try my best
put 0.15 on top of 0.36 like this
1
0.15
0.36
_____
0.51
5+6=11
3+2=5 I said 2 because 5+6=11 so you had to carry your 1
then you would just bring your 0 down cause everybody know 0+0=0 lol!
Find m∠XYZ in the figure if ∠XYZ and ∠PQR are supplementary angles.
Question 5 options:
A)
83°
B)
7°
C)
97°
D)
173°
Answer: C
Step-by-step explanation:
Supplementary angles add up to 180
x + 83 = 180
x= 97
In order to write the equation of the line passing through the point (-2, 2) that is parallel to the line y = 2x + 3 , the next step is to find the y-intercept of the perpendicular line. What is the y-intercept of the perpendicular line through point (-2, 2)?
Answer:
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
Answer:
See below.
Step-by-step explanation:
This question makes no sense.
Here is the question. Pay attention to the words in boldface.
"In order to write the equation of the line passing through the point (-2, 2) that is parallel to the line y = 2x + 3 , the next step is to find the y-intercept of the perpendicular line. What is the y-intercept of the perpendicular line through point (-2, 2)?"
Is the question asking for the parallel line or the perpendicular line?
can someone help, please !!
Hewooooooo how r u doing today?
Step-by-step explanation:
hii, im good and ur the best. thank uuuu oncemore..
can someone pleaseeee help me
Answer:
I think its the green one
Step-by-step explanation:
if you get it wrong sorry
The number of candies in the box is between 80 and 100. It is possible to divide all the candies among 2, 3 or 5 children. How many candies are in the box?
Answer:
90
Step-by-step explanation:
The number of candies can be divided among 2, 3, or 5 children so that is the same as saying: the number of candies must be divisible by 2, 3, and 5. In order for a number to be divisible by 5, it must end in 0 or 5 so we know the number of candies must end in 0 or 5. For a number to be divisible by 2, the number must end in an even number. 5 is not an even number so we know the number of candies must end in 0. If a number is divisible by 3, the digits added are divisible by 3. Go through each number(80, 90, 100) and see which one is divisible by 3. 90 is divisible by 2, 3, and 5.
Proof that 90 is divisible by 2, 3, and 5:
90 ÷ 2 = 45
90 ÷ 3 = 30
90 ÷ 5 = 18
The results are all whole numbers.
Congruent polygons are _________________ polygons for which the ratio of the corresponding sides is 1:1.
9514 1404 393
Answer:
"similar"
Step-by-step explanation:
Congruent polygons will have corresponding sides in the ratio 1:1, but they must also have identical corresponding angles. The description of figures with identical corresponding angles (along with proportional sides) is that they are "similar".
Congruent polygons are similar polygons for which the ratio of the corresponding sides is 1:1.
What’s are the answers for parts A and B
Step-by-step explanation:
hope this helps, happy learning!!!
Solve for x. Round to the nearest degree.
Answer:
60
Step-by-step explanation:
Hope this helped!
Answer:
60
Step-by-step explanation:
What is the sum of these decimal numbers?
6.338+2.705+4.099
Answer:
13.142
Step-by-step explanation:
The sum of the decimal numbers will be 13.142.
What is Decimal number?
A decimal number is a number that consists of a whole and a fractional part.
Given that;
The expression of the decimal numbers are,
⇒ 6.338 + 2.705 + 4.099
Now,
Since, The expression of the decimal numbers are,
⇒ 6.338 + 2.705 + 4.099
Add the numbers as;
6.338
2.705
+4.099
-------------
13.142
Thus, The sum of the decimal numbers will be 13.142.
Learn more about the decimal number visit:
https://brainly.com/question/24342270
#SPJ6
The figure shows three quadrilaterals on a coordinate grid:
Which of the following statements is true about the three quadrilaterals?
A) Q and W are similar but not congruent.
B) W and S are similar and congruent.
C) W and Q are similar and congruent.
D) Q and S are similar but not congruent.
Answer:
Q and W are similar but not congruent.
Step-by-step explanation:
What is the value of p? Please provide an explanation, thanks!
Answer:
[tex]p=39.4[/tex]°
Step-by-step explanation:
[tex]4a+4+75+p=180[/tex] (The sum of angles on a triangle is [tex]180[/tex]°)[tex]4a+p=180-4-75[/tex]
[tex]4a+p=101[/tex]
[tex]p+9a+2=180[/tex] (Angles of a straight line sums to [tex]180[/tex]°)
[tex]p + 9a = 178[/tex]
Elimination can be used to find the value of one variable:
[tex]p+9a-(4a+p)=178-101[/tex]
[tex]5a = 77[/tex]
[tex]a=15.4[/tex]
Now, the value of [tex]p[/tex] can be found by using substitution:
[tex]4a+p = 101[/tex]
[tex]4(15.4)+p=101[/tex]
[tex]p = 101-61.6[/tex]
[tex]p = 39.4[/tex]
I hope this helps :)
3h -8 > 22
Please and thank you
Answer:
I think it's 11
Step-by-step explanation:
11 times 3 is 33 minus 8 is 25 and 25 is greater than 22
Answer:
h > 10
Step-by-step explanation:
3h-8>22
1. Separate the coefficient and variable.
Separate 3h, we'll save that for later.
2. Use inverse operations and apply it to both sides of the equation.
In this case, it is subtraction, so we will add 8 to both sides of the equation.
3h - 8 > 22
+ 8 + 8
That gives us 3h > 30, because the 8 and 8 cancels out.
3. Use inverse operations. (3h and 30.)
In this case, it is multiplication, so we will divide 3 from both sides of the equation.
3/3 > 30/3
30 divided by 3 is 10, therefore, the answer is h > 10
(Since we did not divide 30 with a negative number, the sign stays the same, and it is not switched.)