x ≤ 3
x ∈ [ 3 ; +oo )
Step-by-step explanation:2(4 + 2x) ≥ 5x + 5
8 + 4x ≥ 5x + 5
8 - 5 ≥ 5x - 4x
3 ≥ x
x ≤ 3
x ∈ [ 3 ; +oo )
Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures the slope angle from 30 feet
away from the base of the tree and gets an angle of 62.
If Tamara's eye level is 5.5 feet above the ground, how tall is the tree? (Round your answer to the nearest hundredth)
Answer
Answer:
61.922 feet
Step-by-step explanation:
For this problem, we simply want to set up a trigonometric function that computes the height of the tree, and we want to add the height of Tamara.
We are given a distance from the tree of 30 feet with an angle from her eye-level to the top at 62 degrees. So we can say the following:
y = tan(Θ) * x
Where Θ = 62 degrees, x = 30 feet, and y is the height of the tree from Tamara's eye level.
y = tan(Θ) * x
y = tan(62) * 30
y = 56.422
So we also need to include the height of Tamara to get the total height of the tree from the ground to the top.
56.422 ft + 5.5 ft = 61.922 ft
Hence, the total height of the tree is 61.922 feet.
Cheers.
The height of the tree is 61.92 feet.
Given information:
Tamara wants to calculate the height of a tree outside her home.
She is 30 ft away from the tree.
Tamara's eye level is 5.5 feet above the ground.
The angle of inclination of the top of the tree is 62 degrees.
Let h be the height of the tree.
See the attached image.
Use trigonometric ratios in triangle ABC to calculate the height of the tree as,
[tex]tan62=\dfrac{AB}{BC}\\1.8807=\dfrac{h-5.5}{30}\\h-5.5=56.4217\\h=61.9217\\h\approx61.92\rm\;ft[/tex]
Therefore, the height of the tree is 61.92 feet.
For more details, refer to the link:
https://brainly.com/question/14163589
2(x + 4) = 3(2x - 2)
HELP!!!
Answer:
7/2 = x
Step-by-step explanation:
2(x + 4) = 3(2x - 2)
Distribute
2x+8 = 6x -6
Subtract 2x from each side
2x-2x+8 = 6x-2x -6
8 = 4x -6
Add 6 to each side
Add 6 to each side
8+6 = 4x-6+6
14 = 4x
14/4 = 4x/4
7/2 = x
Answer:
x= 7/2
Step-by-step explanation:
2x + 8 = 6x - 6
2x - 6x = -6 - 8
- 4x = -14
x = 7/2
Select all the sums that are positive.
A. -5 + (-2)
B. 5+(-2)
C -3 + 4
D. 0 +(-3)
E –2 +4
please help
what plus 26 makes 90 with 60?
Answer:
60+26=86. 90-86=4. So 4 is the answer.
Step-by-step explanation:
At the local aquarium,one fish tank contained 1,080 clown fish and 60 parrot fish,for a total of 1,140 fish all together. What is the most reduced ratio of total fish to parrot fish
a.
7
L 1. Andrew's hobby is mountaineering. He
started his hike at 250 feet above sea level.
When he reached the peak of the mountain
he was at 1700 feet above sea level. How
many feet did Jake hike up the mountain?
Answer:1700
Step-by-step explanation:
In total, he traveled 1700 feet. He had to get to the 250ft starting point somehow, so you would count that as the overall total distance traveled.
Find the x-values for which f(x) = g(x)
if you know that f(x) = x2 and g(x) = 9.
Answer: X = 3
x2 = 9
x = 3
Step-by-step explanation:
All you have to do is divide!
-1/2x+3=-x+7 what does x equal
Answer:
x = 8
Step-by-step explanation:
-1/2x+3=-x+7
Add x to each side
-1/2x+x+3=-x+x+7
1/2x +3 = 7
Subtract 3 from each side
1/2x +3-3 = 7-3
1/2x = 4
Multiply each side by 2
1/2x *2 = 4*2
x = 8
three solutions to x ≥ 7
Answer:
x=7
x=8
x=9
(any number greater than or equal to 7)
Step-by-step explanation:
Se sabe que los catetos de un triangulo rectangulo miden 0,4 cm y 0,3 cm. Micaela dice que su perimetro es igual a 1,2 cm ¿Sera cierto? De no ser asi , determina el valor del perimetro correcto
Answer:
El perímetro es de 1.2 cm
Step-by-step explanation:
La formula del perímetro de un triángulo rectángulo es:
p = cateto1 + cateto2 + hipotenusa
Para determinar el valor de la hipotenusa usamos el Teorema de Pitágoras:
hipotenusa² = cateto1² + cateto2²
hipotenusa² = 0.4² + 0.3²
hipotenusa² = 0.16 + 0.09
hipotenusa² = 0.25
√hipotenusa² = √0.25
hipotenusa = 0.5
entonces, el perímetro es:
p = 0.4 + 0.3 + 0.5
p = 1.2cm
por tanto
Micaela tiene razón, el perímetro es de:
1.2 cm
If 5 km on a map equals 13 miles, then
how many km will 156 miles equal?
PLEASE HELP ME
Answer:
60 kilometers
Step-by-step explanation:
Constanza le hizo una caja de regalo a su papá. La medida de una de las aristas de la caja es de 15 cm. Si la caja tiene forma de un cubo. ¿Cuántos cm2 de papel de regalo deberá ocupar como mínimo para forrar la caja?
Answer:
Constanza ocupará, como mínimo, para forrar la caja:
1350 cm²
para forrar la caja
Step-by-step explanation:
En un cubo cada una de las aristas que lo conforman miden lo mismo.
Un cubo tiene 6 caras.
La formula del área del área de las 6 caras del cubo es:
área total del cubo = a = 6*arista²
en este caso:
a = 6*(15cm)²
a = 6 * 225 cm²
a = 1350 cm²
Answer:1350 cm²
Step-by-step explanation:idfk
Please Help due tonight really need help It's a grade
Joey gets an allowance of $17 per week. He wants to buy a new basketball that costs $43.67. When will Jose be able to buy the basketball if he has already saved $22.22, but also has to pay $13.45 each week for snacks and school supplies? make an equation or inequality and solve. Show your work
Answer:
7 weeks
Step-by-step explanation:
Joey gets 17 per week
[tex]17x[/tex] with x the number of weeks
he wants to buy a basketball cap that 43.67
[tex]equation\geq 43.67[/tex]
he has already saved 22.22
[tex]+22.22[/tex]
has to pay 13.45 each week
[tex]-13.45x[/tex]
[tex]17x+22.22-13.45x\geq 43.67\\\\(17x-13.45x)+22.22\geq 43.67\\\\3.55x+22.22\geq 43.67\\\\3.55x\geq 43.67-22.22\\\\3.55x\geq 21.45\\\\x\geq \frac{21.45}{3.55} \\\\x\geq 6.04...[/tex]
but we don't wake a 0.4 of a week so we need the next whole number 7
so it will take 7
Please help solve im stuck!
Answer:
Step-by-step explanation:
The statement that is not true (an exception is easily created) is C
Draw a 1 by 4 rectangle.
Underneath it draw a 2 by 2 rectangle.
They both have the same area (4 units) but they are not congruent. The corresponding lengths are not equal and that is another condition that must be met for there to be congruence. There are many others.
Draw a 2 by 2 square.
draw a triangle with a base of 1 and a height of 8. These two figures have the same area, but they don't even have the same number of sides.
C is simply not true.
Which best describes the dimensions of a plane?
O A plane has zero dimensions because it represents a location on the coordinate plane.
A plane has one dimension because it is made up of an infinite number of points.
O Aplane has two dimensions because it is a flat surface that has length and width but no depth.
O A plane has three dimensions because it is made up of exactly three noncollinear points.
Answer:
c
Step-by-step explanation:
7gd7ts7ts6rs6rsyrs6rstrar
Answer:
A plane has two dimensions because it is a flat surface that has length and width but no depth.
Step-by-step explanation:
wikipedia it
12. If the points A(4,3) and B(x,5)
are on the circles with centre
O(2,3), the value of 'x' is
(a) 2
(b) 4
(c) 6
(d) 8
Answer:
a) 2
Step-by-step explanation:
Just graph it
HELPPP pleaseeeeeeeee
Answer:
ok ok easy lol oh my good what I'm did do have he told ya he bc do is so in by he do oh my God he told
What is (a+b)(x)?
Let a(x)=3x^2-5x+2 and b(x)=x^2+8x-10
Answer:
Step-by-step explanation:
3x^2 - 5x + 2 + x^2 + 8x - 10
4x^2 + 3x - 8
4d + 7e = 68 -4 - 6e = -72
Answer:
Step-by-step explanation:
4d + 7e = 68
-4d - 6e = -72
e = -4
4d + 7(-4) = 68
4d - 28 = 68
4d = 96
d = 24
(24, -4)
Sally bought 30 pounds of apples for $10. Use the ratio table to find the cost of buying 6 pounds of apples.
Answer:
6 : 2
Step-by-step explanation:
30 : 10
( 30 divided by 5 equals 6)
( 10 divided by 5 equals 2)
ratio is:
6 : 2
pls mark brainlest ;)
Hopefully this helps you :)
1. CD Express offers 4 CDs for $60. Nuse Place
offers 6 CDs for $25. Which store offers the
better buy?
Answer:
Answer 2.
Step-by-step explanation:
4 CDs for $60 vs 6 CDs for $25?
At CD Express you'll spend $240 while only spending $150 at Nuse Place.
hey can someone help me?
in which quadrant does the point s(-3, -4) lie?
Answer:
It's in quadrant 3
14. The diameter of carbon atom is about 3.4 x 10-7 millimeter. Is it more appropriate to report the diameter of carbon atom
as 3.4 x 10-7 millimeter or 3.4 x 10-13 kilometer? Explain your reasoning.
I
Answer:
it depends
Step-by-step explanation:
I like to choose the units to be compatible with the use of the number.
In Engineering, we often choose units so the number itself is between 1 and 1000. Here, that means 3.4×10^-7 mm would be better expressed as 3.4 angstroms or 340 pm (picometers). (The purpose of SI prefixes is to facilitate this way of representing metric measures.)
If you're comparing the length to something measured in km, then the representation as 3.4×10^-13 km might be the most useful
If you're comparing the distance to something measured in mm, then 3.4×10^-7 mm would be more appropriate than 3.4×10^-13 km.
slove 5y-3w if y=2 and w=-3
Answer: 19
Step-by-step explanation:
Just plug in your variables
5(2) - 3(-3)
10 + 9
Answer:
the answer is 1
Step-by-step explanation:
5 x 2 is 10 and 3 x 3 is 9 so then 10 - 9 is 1
Mathmatics 8th grade
Answer:
A.[tex]\frac{3}{8} , \frac{1}{2} , 1 , \sqrt{2} , 4[/tex]
Step-by-step explanation:
[tex]\frac{3}{8} < \frac{1}{2} \\\\\frac{1}{2} < 1\\\\1 < \sqrt{2} \\\\\sqrt{2} < 4[/tex]
Answer:
A. because the square root of 2 is 1.4 and 1/2 is equal to 4/8 which is bigger than 3/8 so this is the correct order.
Step-by-step explanation:
(Brainliest plz?)
what is the area of a pizza with a 9 inch radius?
Answer:
254.47
Step-by-step explanation:
A=πr2=π·92≈254.469
Can anyone good with math please help..
Answer:
b
Step-by-step explanation:
lamaoamapa9meudvudjege
A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two
sets of data?
3
O median
O mode
mean
• skandard deviation
Answer:
He would use mean as a statistic to compare the spread of the two sets of data.
Step-by-step explanation:
What is mean?
Arithmetic Mean represents a number that is obtained by dividing the sum of the values of a data set by the total number of values
What is statistic?
A statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose.
The mean takes into account the whole spread of the data among the various statistic and is helpful in comparing data.
To know more about mean, statistic here
https://brainly.com/question/8723036
# SPJ2
Answer:
D. standard deviation
Step-by-step explanation:
100% on edge
What is -2(x + 3 ) = -2x-6
Answer:
0 = 0 (infinite solutions)
Step-by-step explanation:
-2(x+ 3) = -2x - 6
Multiply -2 to x and 3
-2x -6 = -2x - 6
Add 2x on one side to get zero, and add 6 to the other side to get 0
0 = 0
There are infinite solutions