How high is the end of a 70 foot ramp when it is tipped to an angle of 45 degrees?
Answer:
35[tex]\sqrt{2}[/tex]
Step-by-step explanation:
This scenario can be represented and solved by drawing a triangle. The hypotenuse of the triangle represents the ramp which has a length of 70 feet. The angle between the hypotenuse and the leg of the triangle that is parallel to the ground is 45 degrees. Since we know that this is a right triangle, we can conclude that this is a 45-45-90 degree right triangle. We can use the ratios of the sides of special right triangles to solve the problem from here. We know that the two sides and the hypotenuse of a 45-45-90 triangle can be represented as x, x, and x[tex]\sqrt{2}[/tex] respectively. This means that the hypotenuse of 70 feet is equal to x
Then we solve the following equation:
x[tex]\sqrt{2}[/tex] = 70
x = [tex]\frac{70}{\sqrt{2} }[/tex]
x = [tex]\frac{70}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} }[/tex]
x = [tex]\frac{70\sqrt{2} }{\sqrt{4} }[/tex]
x = [tex]\frac{70\sqrt{2} }{2}[/tex]
x = [tex]35\sqrt{2}[/tex]
This means that each side of the triangle has a length of [tex]35\sqrt{2}[/tex] so that is also the height of the end of the ramp from the ground.
please help 30 points and if I get correct answer i will brainiest them
Answer:
9,-4
Step-by-step explanation:
-9×4=-36
Negative × Positive = Negative
Find c Round to the nearest tenth 27 201 28 c=?
Answer:
56.3 =c
44.1 =a
Step-by-step explanation:
Using the law of sines
sin 102 sin 28
---------- = ----------
c 27
Using cross products
27 sin 102 = c sin 28
Divide by sin 28
27 sin 102
------------ = c
sin 28
56.25470702= c
Rounding to the nearest tenth
56.3 =c
To find a
We need Angle A
A = 180 - 102 -28
A = 50
sin 50 sin 28
---------- = ----------
a 27
Using cross products
27 sin 50 = a sin 28
27 sin 50
------------ = a
sin 28
44.0563425= a
Rounding to the nearest tenth
44.1 =a
What is the ratio of their surface areas
Answer:
[tex]\text{A. }4:81[/tex]
Step-by-step explanation:
Since surface area consists of the sum of the outer faces of each polygon, the ratio of the two surface areas will be equal to the ratio of the side lengths squared (since we multiply them to get area).
The ratio of the corresponding side lengths of the solids are [tex]2:9[/tex]. Therefore, the ratio of their surface areas must be [tex]2^2:9^2=\boxed{4:81}[/tex]
Answer:
A
Step-by-step explanation:
i hope this helped i tried
I posted it nobody answer to it so *Help me*
Answer:
i think its 2
Step-by-step explanation:
4 tan 45°+(2 sin 45°)(6 kos 45°)
Answer: The final value is 10
Step-by-step explanation:
We are given:
[tex]4\tan 45^o+(2\sin 45^o)(6\cos 45^o)[/tex]
We know that:
[tex]\tan 45^o=1\\\sin 45^o=\frac{1}{\sqrt{2}}\\\cos 45^o=\frac{1}{\sqrt{2}}[/tex]
Putting values in the given equation, we get:
[tex]\Rightarrow (4\times 1)+(2\times \frac{1}{\sqrt{2}})\times (6\times \frac{1}{\sqrt{2}})\\\\\Rightarrow 4+(\frac{2\times 6}{2})\\\\\Rightarrow (4+6)\\\\\Rightarrow 10[/tex]
Hence, the final value is 10
Find the balance in an account at the end of 12 years if $4000 is invested at an interest rate of 9% that is compounded continuously
Answer:
7250.66
Step-by-step explanation:
can someone tell me what the answer for
2 kos60° + tan 45 °
Answer:
[tex]{ \tt{2 \cos60 \degree + \tan(45 \degree) }} \\ \\ = 2(0.5) + 1 \\ = 1 + 1 \\ = 2[/tex]
HELP ME PLEASE ITS FOR MATH
Answer:
4.50
Step-by-step explanation:
[tex] \sin(40) \times 7 = 4.499513268[/tex]
round it up
[tex] = 4.50[/tex]
The Art Club at Reynolds High School (ROCA) is selling paintings and clay coffee mugs to raise money for a trip to all the museums on the west coast. The cost for each painting is $20 and each mug is $15. The Art Club thinks they will sell at most 350 items. In order to meet their goal, they want to raise more than $4500. Write a system of linear inequalities to model the situation and then solve.
Answer:
See below and attached
Step-by-step explanation:
Let the number of paintings is x and the number of mugs is y.
We have following inequalities:
x + y ≤ 35020x + 15y > 4500The graphical solution is attached.
The solution is:
225 < x ≤ 350300 < y ≤ 350Need help with this question!!!
The roots of a graph are also known as the x-intercepts. If you use a graphing tool to graph the given equation you will be able to see the x- intercepts. For the answer the question is asking what the x cordinates of the x intercepts are. I think the answer is (0,2,-2) but im not sure so you should check my work.
If ABC ~ DEF and the scale factor from ABC to DEF is 2, what are the lengths of , , and , respectively?
Answer:
4,8,12 hope that helps heeeeheheʘ‿ʘ
Please help me thank you
Answer:
0.2
Step-by-step explanation:
Easy divide 1/5 as a decimal and you should get a decimal form number 0.2
1÷5=0.2
Hope this helps
Combine like terms: 4x+3y-4+5y+3x-1
Answer:
7x + 8y - 5
Step-by-step explanation:
Like terms are terms with the same variable as well as the same amount of said variable:
Set the expression:
4x + 3y - 4 + 5y + 3x - 1
4x + 3x + 3y + 5y - 4 - 1
Combine like terms:
(4x + 3x) + (3y + 5y) + (-4 - 1)
(7x) + (8y) + (-5)
7x + 8y - 5 is your answer.
~
Find the radius r of the circle. Round your answer to the nearest tenth.
M.
60°
N
10.2 yd
ס
ra
yd
First off we need to use the formula S = rΘ
S - is the arc length
Θ - is theta which is the radian measure
r - is the radius
In this problem we need to find r
So, our equation would look like:
S ÷ Θ = r
Before we solve though, we need to convert the degrees to radians:
To convert from degrees to radians, multiply the degrees by π/180° radians:
60 x π/180 = 1.0472
If you input the numbers you get:
10.2 / 1.0472 = 9.740
The radius is 9.7 yards.
Just wanna double check my answer on this one. I got a profit of 60%
Answer:
Yes the answer is indeed 60%
the answer is 60% so you are correct
The Earth has a diameter of about 7,917.5 miles. What is the surface area of our planet? (Show your work, including the formula, along with your answer. Round your answer to the nearest tenth)
Answer:
196,836,571.6 miles²
Step-by-step explanation:
the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere
surface area of a sphere = 4πr²
π= 3.14
r = 7,917.5 / 2 = 3958.75 miles
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
4 x 3.14 x 3958.75² = 196,836,571.6 miles²
another question about angles
Answer:
ㄥBEC=70；ㄥABE=160
Step-by-step explanation:
(x-5)+(3x-5)+90=180
x-5+3x-5+90=180
4x+80=180
4x=100
x=25
ㄥBEC=3*25-5=70
ㄥABE=180-(25-5)=160
https://imgur.com/a/n3PRcMY
Step-by-step explanation:
hakdogg happyly ever after
identify the quadrilateral that has four congruent angles that has two pairs of parallel sides
Answer:
Rhombus
Step-by-step explanation:
Rhombus: A quadrilateral with four congruent sides and two pairs of parallel sides.
Hope it is helpful...Find the value of x. Give a reason to justify your solution.
Answer:
x =52
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles. (Exterior Angle Property)
x+72 = 90+34
x+72 = 124
x+72-72 = 124 - 72
x =52
A teacher records the test scores of several students. 74,82,70,80,72,76,71,75,78,72.
Find the mean
PLS HELP ASAPPPP
THANK YOU SO MUCH!!!!
Answer:
75
Step-by-step explanation:
Math
Answer:
75
Step-by-step explanation:
add up all the numbers, then divide by how many numbers there are
2) 3x - 7.25 = 16
Solve for x
Answer:
x = 7.75
Step-by-step explanation:
To solve this equation for x, start by consolidating the constant terms on the right side: Add 7.25 to both sides, obtaining:
3x = 16 + 7.25, or
3x = 23.25
Dividing both sides by 3, we get x = 7.75
Answer:
x = 7.75
Step-by-step explanation:
3 x - 7.25 = 16
3 x = 16 + 7.25
3 x = 23.25
x = 23.25/3
x = 7.75
s
is inversely proportional to
t
.
When
s
=
0.5
,
t
=
7
Work out
s
when
t
=
0.8
Answer:
4.375
Step-by-step explanation:
s=1/t
s=k/t
0.5=k/7
k=7x0.5=3.5
s=3.5/0.8
s=4.375
El profesor Héctor y sus alumnos organizaron una excursión a
la Ciudad de México. Visitarán el Centro Histórico, el Castillo de
Chapultepec y el Museo de Antropologia. El costo del transporte
por alumno es de $310.75 y no incluye alimentos.
a) Para pagar el transporte, el profesor Héctor tiene que juntar
el dinero de los 37 alumnos que participaran en la excursion
¿Cuánto dinero debe reunir?
Answer:
$8.39 por pe rsona
Step-by-step explanation:
IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identified with the upper 2%
Answer:
IQ scores of at least 130.81 are identified with the upper 2%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 100 and a standard deviation of 15.
This means that [tex]\mu = 100, \sigma = 15[/tex]
What IQ score is identified with the upper 2%?
IQ scores of at least the 100 - 2 = 98th percentile, which is X when Z has a p-value of 0.98, so X when Z = 2.054.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.054 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = 15*2.054[/tex]
[tex]X = 130.81[/tex]
IQ scores of at least 130.81 are identified with the upper 2%.
Cylinder math, help me
Answer:
A= 43.393 rounded
Step-by-step explanation:
A=2πrh
A= 2 [tex]\pi[/tex] 1.625 (4.25)
A= 13.8125[tex]\pi[/tex]
or
A= 43.393 rounded
One of the solutions to the equation 72 - 57– 24 – is 8. What is the other solution?
Answer:
72-57-24=-9
Step-by-step explanation:
simple subtraction
Someone help me with this
Answer:
81
Step-by-step explanation:
Any number, wether it is negative or postive, will always be postive when there is a even exponent.
In this case, we have a -9, and a exponent thats 2.
Since 2 is a even number, -9^2 will be a postive value.
Now, what is the actual value of this?
Well, a exponent of 2 basiclly means 2 numbers being multiplied together.
Or in this case, 2 negative 9s being multiplied together.
THis will be:
-9*-9
=
As I said above, a even exponent makes a negative number postive.
You see here that a negative 9 is being multiplied by -9. When two negative numbers multiply together, they make a postive.
THis is why a even exponent makes a postive.
Hope this helps!
solve for x round to the nearest tenth if necessary
Answer:
x ≈ 2.8
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan26° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{CD}{DE}[/tex] = [tex]\frac{x}{5.7}[/tex] ( multiply both sides by 5.7 )
5.7 × tan26° = x , then
x ≈ 2.8 ( to the nearest tenth )
Answer:
2.8
Step-by-step explanation:
1. c = a · sin(C) / sin(A)
This is the equation to find x. Let's see what we have.
c = x
a = 5.7
C = 26
A = ?
Let's find A. We know B is 90 and C is 26. Triangle Sum Theorem time!
2. 180 = 90 + 26 + A
180 = 116 + A
64 = A
A = 64
We found A. Let's see what we have now!
c = x
a = 5.7
C = 26
A = 64
Let's solve the equation now.
3. x = 5.7 · sin26 / sin64
Let's use a calcalator to find the answer.
4. 2.78008 = 5.7 · sin26 / sin64
5.7 · sin26 / sin64 = 2.78008
We should round this to the nearest tenth. 7 is in the tenth place. Though 8 is behind 7. 8 is greater than 4 which means 7 must be rounded up.
5. 2.8 is the answer.