Answer:
p=3.5
Step-by-step explanation:
So minus 1/2 on both sides. p= 3.5
. A student answered 48 problems on a test correctly and received a grade of 75%. How many problems were on the test, if all the problems were worth the same
What is the surface area of the square pyramid represented by the net? Enter your answer in the box. m²
Answer:
1.75 meters² or 175 centimeters²
Step-by-step explanation:
Step 1: Find Area of the Base.
Base is a square with dimensions of 7cm by 7cm[tex]7*7[/tex] 49 cm²Step 2: Find the Area of the Triangles.
Each triangle has a base of 7cm and a height of 9cm.7 x 9 = 63, and 63/2 = 31.531.5 x 4 = 126 cm²Step 3: Add the areas together.
[tex]49+126[/tex] 175 cm²Thus, the surface area is 1.75 m^2 or 175 cm^2.
Compare.
Select <, >, or = .
6 yd 216 in. Which is bigger
6yd and 216in and both equal
Permutations and Combinations:
Find the number of paths from A to B, travelling along the lines, downward or to the right.
Answer:
[tex]A\ downward\ 5\ paths\ then\ to\ the\ right\ 6\ paths[/tex]
Step-by-step explanation:
[tex]\left\{According\ to\ the\ picture\right\}[/tex]
I hope this helps you
:)
What is 9 to the power of 2?
Answer:
9x9 = 81
The Steps ↓
9 to the power of 2 means 9 times itself 1 time. This goes for any other number in other situations. The term is often referred to as squared.
9
x 9
81
NO LINKS!!! Part 12 Please help me with this problem
Answer:
9.72 ft (nearest hundredth)
Step-by-step explanation:
The ramp is the hypotenuse of a right triangle = 10 ftThe ramp makes an angle of 18° with the horizontalLet b = the horizontal
First, calculate the horizontal distance [tex]b[/tex] by using the cosine trig ratio:
[tex]\cos(\theta)=\mathsf{\dfrac{adjacent\ side}{hypotenuse}}[/tex]
[tex]\implies \cos(18)=\dfrac{b}{10}[/tex]
[tex]\implies b=10 \cos(18)[/tex]
Given:
[tex]\theta[/tex] = 12°[tex]b=10 \cos(18)[/tex]The new ramp is the hypotenuse = hUse the cosine trig ratio to calculate the new hypotenuse:
[tex]\implies \cos(12)=\dfrac{10 \cos(18)}{h}[/tex]
[tex]\implies h=\dfrac{10 \cos(18)}{\cos(12)}[/tex]
⇒ h = 9.723036846...
⇒ h = 9.72 ft (nearest hundredth)
Answer:
14.86 feet
Step-by-step explanation:
We assume the new ramp arrives at the same height as the old one. That height is found using the sine function:
h = 10·sin(18°)
We want to find the ramp length x that will give the same height with an angle of 12°:
h = x·sin(12°)
Substituting for h, we get ...
10·sin(18°) = x·sin(12°)
x = 10·sin(18°)/sin(12°) ≈ 14.863 . . . . feet
The new ramp is about 14.86 feet long.
_____
Additional comment
The sine relation is ...
Sin = Opposite/Hypotenuse
In this use, we rearrange it to ...
Opposite = Hypotenuse × Sin
Someone please explain this
Answer:
6
Step-by-step explanation:
I'm only going to answer the first one, then see if you can figure out the others.
We know that 8 students got a B.
We also know that the ratio of students who A's to students who got B's is 3 : 4
The 8 students that got B's is represented by 4 in the ratio.
8 / 4 = 2
Since we can multiply 4 by 2 to get 8, we can do the same to 3 to find out how many students got A's
2 x 3 = 6
6 students got A's
How much longer is a one inch button than a 3/8 inch button?
Answer:
5/8
Step-by-step explanation:
subtract 3/8 from 8/8 to get 5/8
Julio has found that his new car gets 32 miles per gallon on the highway and 27 miles per gallon in the city. He recently drove 283 miles on 9 gallons of gasoline. How many miles did he drive on the highway? How many miles did he drive in the city?
Answer:
My answer is 32 remainder 4
BRANY IS DUM AND IT IS WORNG
Answer:
36 is the answer to your problem. ↓
3
x 12
36
Here's how to do it ↓
3x2 = 6, write 6 in the ones place
3x1 = 3, write 3 in the tens place.
And what does that give you?
36!
Hello! Im Natalia. And I suggest you dont ask the type.of questions. Keep the feed clear for people who need help!
Can someone please help me with this thank you
Answer:
Step-by-step explanation:
1- .6 hours
2-a: 8
2-b: 40
2-c: 10
I hope this helps you! (:
HELP ME POR FAVOR pleaseeee
Answer:
92 inches squared
Step-by-step explanation:
Divide the figure into 2 rectangles.
The area of the first rectangle is 4 x 11 = 44.
The base of the second rectangle can be found by adding 6 + 4 + 6 = 16.
We find 4 because the top part of the vertical rectangle is the same as the bottom part.
Then the area of the second rectangle is 16 * 3 = 48.
Adding these two areas, 44 + 48 = 92 inches squared.
11.in each of the following ABCD parralelgram calculate x and y
Answer:
x = 8/3, y = 16/3
Step-by-step explanation:
ΔBFE ~ ΔADE, so
x/8 = 6/(12 + 6), x = 8/3
y = 8 - x = 8 - 8/3 = 16/3
NO LINKS!!! Part 11
Answer:
39.4 feet
Step-by-step explanation:
The tangent trig relation can be used to relate the height of the tree to the distance from the observation point. We can start with the tangent relation, then apply it to both observation points.
__
Let h represent the height of the tree. Then for some distance d to the tree, we have ...
Tan = Opposite/Adjacent
tan(30°) = h/d
tan(20°) = h/(d+40)
__
Solving the first equation for d and substituting into the second equation gives ...
d = h/tan(30°)
tan(20°) = h/(h/tan(30°) +40) . . . . . substitute for d
h/tan(30°) +40 = h/tan(20°) . . . . . . multiply by (h/tan(30°)+40)/tan(20°)
h(1/tan(20°) -1/tan(30°) = 40 . . . . . subtract h/tan(30°) and factor
h = 40tan(20°)tan(30°)/(tan(30°) -tan(20°)
h ≈ 39.392 . . . feet
The height of the tree is about 39.4 feet.
_____
As you can see from the attachment, a graphing calculator can solve these equations easily.
Answer:
39.4 ft (nearest tenth)
Step-by-step explanation:
Create two equations using trig ratios and the information given (refer to the attached diagram). Equate the equations and solve.
First equation
Let x = distance along the path with 30° angle of elevation
Let h = height of the tree
Using the tangent trig ratio:
[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]
Given:
angle = 30° side opposite the angle = hside adjacent the angle = x[tex]\implies \mathsf{\tan(30)=\dfrac{h}{x}}[/tex]
Rearrange to make x the subject:
[tex]\implies \mathsf{x=\dfrac{h}{\tan(30)}}[/tex]
[tex]\implies \mathsf{x=\sqrt{3} \ h}[/tex]
Second equation
Distance along the path with 20° angle of elevation = x + 40
Let h = height of the tree
Using the tangent trig ratio:
[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]
Given:
angle = 20° side opposite the angle = hside adjacent the angle = x + 40[tex]\implies \mathsf{\tan(20)=\dfrac{h}{x+40}}[/tex]
Rearrange to make x the subject:
[tex]\implies \mathsf{x=\dfrac{h}{\tan(20)}-40}[/tex]
Now equate the 2 equations and solve for h:
[tex]\implies \mathsf{\sqrt{3} \ h=\dfrac{h}{\tan(20)}-40}}[/tex]
[tex]\implies \mathsf{\dfrac{h}{\tan(20)}-\sqrt{3} \ h=40}}[/tex]
[tex]\implies \mathsf{\dfrac{h-\sqrt{3} \ h\tan(20)}{\tan(20)}=40}}[/tex]
[tex]\implies \mathsf{h-\sqrt{3} \ h\tan(20)=40{\tan(20)}}[/tex]
[tex]\implies \mathsf{h(1-\sqrt{3} \tan(20))=40{\tan(20)}}[/tex]
[tex]\implies \mathsf{h=\dfrac{40{\tan(20)}}{1-\sqrt{3} \tan(20)}}[/tex]
[tex]\implies \mathsf{h=39.39231012...}[/tex]
Therefore, the height of the tree is 39.4 ft (nearest tenth)
Find the 60th term of the arithmetic sequence 4,
1,
6,
Step-by-step explanation:
first term a = 4
common difference d = -1-4 = -5
60th term = a+ (60-1)d
= 4 +59×(-5)
= 4 -295
= -291 answer
For which value(s) of x are the triangles congruent?
Step-by-step explanation:
The solutions are 2 and 5
Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:
x^2 = 7x - 10
Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.
x^2 + 10 = 7x
Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.
x^2 - 7x + 10 = 0
Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.
(x - 2)(x - 5) = 0
You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.
x - 2 = 0
x = 2
One of the solutions is 2, because you add 2 to x to get 0.
x - 5 = 0
x = 5
The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.
2^2 = 7(2) - 10
4 = 14 - 10
So 2 is definitely a solution.
5^2 = 7(5) - 10
25 = 35 - 10
5 is also a solution.
Hope that helps :]
can someone help this is for a big grade
Answer:
What's the question???
Write the absolute value in the form |x-b|=c (where b is a number and c can be wither a number or and expression) that has the following solution set.
Two solutions: x=-2, x=-32
Answer:
|x +17| = 15
Step-by-step explanation:
The values that go into your absolute value equation template can be found by solving the template equation, then matching results to the desired solution values.
|x -b| = c
resolves to ...
x -b = c . . . . for x -b > 0
x = b+c
and
-(x -b) = c . . . for x -b < 0
x = b -c . . . . . solve for x
__
The value of c must be positive, so the value b+c will be the most positive solution:
-2 = b +c . . . . . the most positive solution
-32 = b -c . . . . the most negative solution
Adding these equations gives ...
2b = -34 ⇒ b = -17
c = -2 -b . . . . from the first equation
c = -2 -(-17) = 15
Putting the found values b=-17, c=15 into the absolute value equation template gives ...
|x +17| = 15
what is the fact family for 6,7,13 what is the answer
help please i need this fast
Solve the system by graphing
The value of x and y are equal to -1 and 4 respectively.
Data;
x + y = 32x - y = -6System of EquationTo solve a system of linear equations, we can either use graph, simultaneous or elimination method. In which ever method we choose to use, we can always find the solution to this system of equations.
Kindly find the attached for a graphical representation of the solution.
Learn more on system of equations here;
https://brainly.com/question/14323743
The solution to the system of equation is (-1,4)
The system of equation is given as:
x + y = 3
2x - y = -6
Next, we plot the graph of the system of equation
From the attached graph (see attachment), we have the point of intersection to be:
(x,y) = (-1,4)
Hence, the solution to the system of equation is (-1,4)
Read more about system of equations at:
https://brainly.com/question/14323743
PLEASE SHOW ALL WORK!!!
Pam lives 1/4 mile from school. How far does she travel each day going to school and back?
Answer:
1/2 mile.
Step-by-step explanation:
Going to school and back is two ways, so multiply 1/4 to get 2/4, or 1/2.
this is confusing as hell, giving branliest
Step-by-step explanation:
It takes 150/25=6 hrs to finish reading
So when you graph, the line will start at (0,150) and go down to (6,0)
Domain tells you how far the x values go
0 < T < 6
Range tells you how low/high y values go
0 < L < 150
Answer: 0<T<6 0<L<150
Step-by-step explanation: Hope this helps you!
1: What function is the inverse of the exponential function y = 3ˣ?
a) y=x³
b) y = 3ˣ
c) y = log₃ X
d) y = logₓ 3
4: What is the best estimate of the value of in 16?
a) 1.20
b) 2.77
c) 3.23
d) 4.00
5: Which of the following logarithmic expression have been evaluated correctly? Select all that apply.
a) In 1 = 0
b) log₂ 9 = 3
c) log 1/100 = 1/2
d) log₃ (-1) = 1/3
e) log₅ 1/125 = -5
Answer:
1/ c
4/b
5/a
Step-by-step explanation:
2x + y = 20
6x - 5y = 12
Answer:
x=7, y=6
Step-by-step explanation:
Answer:
x=7, y=6
Step-by-step explanation:
we expand the first formula by 5.
5(2x+y) = 20x5
10x + 5y= 100
then we add the two formulas together.
10x+5y+6x-5y = 100+12
since the 5y can be cancelled out, it is much easier.
16x = 112
x=7
now we can put x=2 into the first formula.
2x7+y =20
y=6
Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4
brands, 5 colors, and 3 styles. First, Tahari chooses the color. Which explains the number of options that she has left
after she chooses the color?
Answer: The answer is BBBBBBBBBBBBBBBBBBBBBBb
Step-by-step explanation:
I did the test 2 times got it right 2 times
Have a good day ur welcome
Answer:
B
Step-by-step explanation:
Question Write 7% as a fraction or mixed number in simplest form. The simplest form is .
Answer:
7/100
Step-by-step explanation:
please mark me brainliest
D
1
C. The measu
D. The value of x is 30.
16. In the figure below, lines A and B are
parallel.
A
B.
25
23
21
96
22
<4
Find the m25 if mZ1 = 75° and m23 = 40°.
Answer: Hola
Step-by-step explanation:
Hola tu papa Nunca came back from the grocery store.
What are some possible sources of damage that property insurance would insure you against?
helllllllllllllllllllllllp meeeeeeeeeeeeee
Answer:
natural disasters, theft,fire
GUYS PLS HALP MEH Kiran's aunt is 17 years older than Kiran.
How old will Kiran's aunt be when Kiran is:
15 years old?
30 years old?
x years old?
How old will Kiran be when his aunt is 60 years old?
Answer:
32
45
75
Step-by-step explanation:
tbh its pretty basic..