Using the slope concept, it is found that the ladder reaches a height of 65.96 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change.
It's also the tangent of the angle of depression.
In this problem:
The vertical change is the height that we want to find.The horizontal change is the ladder of 28 feet.The angle is of 67º.Hence:
[tex]\tan{67^\circ} = \frac{h}{28}[/tex]
[tex]h = 28\tan{67^\circ}[/tex]
[tex]h = 65.96[/tex]
The ladder reaches a height of 65.96 feet.
You can learn more about the slope concept at https://brainly.com/question/18090623
Simplify: –3(y 2)2 – 5 6y What is the simplified product in standard form? y2 y.
Answer:
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
-3
y2 +
-6
y +
-17
Step-by-step explanation:
The simplification of the given expression will be -17.
What is simplification?
The process of reducing the complex mathematical expressions into the simplest form is called simplification.
Given expression will be simplified as:-
= -3 ( y + 2 ) 2 - 5 + 6y
= ( -3y - 6 ) 2 - 5 + 6y
= ( -6y - 12 -5 + 6y )
= ( -17 )
Hence the simplification of the given expression will be -17.
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Find the length of the missing side. Leave your answer in simplest radical form.
a. [tex]\sqrt{69}[/tex]
b. [tex]\sqrt{269}[/tex]
c. [tex]\sqrt{23}[/tex]
d. [tex]\sqrt{3}[/tex]
Answer:
a) [tex]\sqrt{69}[/tex]
Step-by-step explanation:
this is a right triangle so you can use the Pythagorean Theorem:
the sum of the legs, squared, is equal to the hypotenuse, squared
10² + b² = 13²
100 + b² = 169
b² = 69
b = [tex]\sqrt{69}[/tex]
Find the missing side lengths the triangle is 30-60-90
Answer:
y= 4
x=8
Step-by-step explanation:
30-60-90 rule. the side opposite of 30 degrees is y, the side opposite of 90 degrees is 2y, and the side opposite of 60 degrees is y [tex]\sqrt{3}[/tex]. since 4 is next to the square root that makes it y. y = 4 and 2y= 8.
is -2/1 the same as 1/-2
Answer:
No
Step-by-step explanation:
-2 divided by 1 is -2 while -1 divided by - 2 is -0.5
I need help with problem 21
Answer:
X = 65
Step-by-step explanation:
The sum of the exterior angles of a polygon is 360°
Therefore, X + 111 + 50 + 36 + 98 = 360
Combine like terms: X + 295 = 360
Subtract 295 from both sides: X = 65
One-third of 250 is what number?
At a party, Ted's age is 15 years less than twice Sally's age. The sum of their ages is 54. How old is Ted?
Answer:12or39
Step-by-step explanation:
hope this helps!!
Q.1 Round off 20.0417 to the nearest 2 decimal point.
Answer:20.04
Step-by-step explanation: The answer is 20.04 because we have to round in 2 decimal point and 4<5 so 4 is not changed.
select all that apply, 7th grade math
Hi!
Your answer to this question would be every option except for 0.
This is because the question is saying: x is less than or equal to negative 3.
Thus, you answer, all options except 0
Have a wonderful/night!
God bless!
Please please please help
answer
ITS C
Step-by-step explanation:
BECAUSE OF THE ROOT THAT THEY CAMPARE
Help me to find x for the triangle attached below
Answer:
x=5
Step-by-step explanation:
since triangles are similar, the proportions of side will be same.
(x+1)/6 = (4)/(x+1)
x^2 -1 = 24
x^2 = 25
x=5
can someone please help 20 points..
Answer:
All triangles are Theorem. Every triangle is isosceles.
Only some plane figures triangles are plane.
Step-by-step explanation:
Hopes this helps
Answer:
Every triangle is isosceles.
Only some triangles are polygons
FIND THE ANSWER............
Answer:
D
Step-by-step explanation:
The y- coordinate of M is the average of the y- coordinates of A and B
y - coordinate of M = [tex]\frac{3+7}{2}[/tex] = [tex]\frac{10}{2}[/tex] = 5
write an algebraic expression: The product of 6.3 and g increased by 14
Answer:
6.3g + 14
Step-by-step explanation:
The product of 6.3 and g:
6.3*g = 6.3g
The product of 6.3 and g increased by 14
⇒ 6.3g increased by 14
6.3g + 14
3.75 ÷ 1.50 is equivalent to 375 ÷ 150.
The dividend and divisor were both multiplied by ??
Answer:
100
Step-by-step explanation:
You need to move the decimal 2 numbers to right so you multiply by 100.
PLEASE HELP WITH THIS WILL GIVE BRINALIST TO BEST ASNWER
What are the 2 different elastic forces? Explain how each will return their object back to their object back to their original shape.
There are two types of elastic forces- compression and tension.Something that is elastic can return to its original shape after being stretched or compressed. tension- The energy is stored until the force is removed and the object springs back to its original shape, doing work in the process
I am a two digit odd number I am a factor of 84 and also a multiple of 7 what number am I?
Answer:
21
Step-by-step explanation:
2 digit number| 2 and 1 that's 2 digits
factor of 84 21 x 4=84 21 42 63 84
multiple of 7 7 x 3=21
I need some one to answer this the second they see it
Answer:
12
Step-by-step explanation:
Because this is a 45 angle triangle we can assume the other side is also a 45 angle. Which means that CD=AD.
[tex](6\sqrt 2)^2+(6\sqrt2)^2=144\\\sqrt 144=12[/tex]
what is the y-intercept for the function f(x) = 2 x 5^x + 4
Answer:
Step-by-step explanation:
We can find y-intercept by substituting 0 for x in the equation.
So, we will have:
y=2*5^0+4=2*1+4=2+4=6
y intercept is 6
use the distributive property to expand 5(-2t+3)
Answer:
−10 + 15
Step-by-step explanation:
5(-2t+3)
−10+15
Tell whether the set of ordered pairs {(1, 6), (2, 9), (3, 12), (4, 15)} satisfies a linear function. Explain.
A. No; there is no constant change in x that corresponds to a constant change in y.
B. Yes; there is no constant change in x that corresponds to a constant change in y.
C. No; there is a constant change in x that corresponds to a constant change in y.
D. Yes; there is a constant change in x that corresponds to a constant change in y.
Answer:
D
Step-by-step explanation:
If you put them into a graphing calculator they all align. Have a nice day.
dont need method i just need to sleep rn quickly answer this then i sleep :)
4(5x-2)=2(9x+3)
Answer:
x=7
Step-by-step explanation:
4(5x-2)=2(9x+3) do everything in the parentheses
20x-8=18x+6
+8 +8
20x=18x+14
get X by itself by adding same terms
20x=18x+14
-18x -18x
2x=14 divide
/2 /2
X=7
Answer in simplest radical form.(and show work please)
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
hypotenuse² = base² + altitude²
x² = 7² + 10²
= 49 + 100
x² = 149
[tex]x =\sqrt{149}[/tex]
x^2+14x+49-y^2
I need help factoring this. Could somebody run me through the steps on how to factor this? Thanks!
Since both terms are perfect squares, factor using the difference of squares formula,
[tex]a²b² = (a + b) (a - b) where \: a = x + 7 \: and \: b = y[/tex]
[tex](x+7+ y) (x+7-y)[/tex]
Simplify the expression to a polynomial in standard form: (2x + 1)(x^2 - 6x + 7)
Answer:
2x^3-11x^2+8x+7
Step-by-step explanation:
hope this helps!!!
Solve only question B pls
n' tell me how to calculate midpoint pls
Answer: 382
Step-by-step explanation:
cus yellow ate the soup
Solve for x
2(4x - 3)-8=4+2x
Thanks!
Answer: 3
Step-by-step explanation:
first substitute 2 into 4, so its 2*4 = 8x
Second, substitute 2 into -3 so itś 2*-3= -6
So, so far we're at 8x-6-8+4+2x, we combine the integers (which is -6 & -8, and we get -14)
So far, we are now at 8x-14=4+2x.
Now we add 14, to cancel out -14.
Then, we add 14 to 4, making 18.
Then, we subtract -2 to cancel out 2x.
Then, we subtract 2x to 8x, Making 6x
Now, final step :)
We divide 6x=18
which is 18 divided by 6
which is 3 :)
You got this, you're doing great!
0.79 ( ) 0.7 which is greater
Answer:
the first one
Step-by-step explanation:
because if it was money 0.79 cent is more then 0.70 cent
Answer:
0.7 is greater as it is closer to 1 than 0.5.
Step-by-step explanation:
Consider a number line: 0–0.1–0.2–0.3–0.4–0.5–0.6–0.7–0.8–0.9–1
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick.
Let y represent the ice sheet's thickness (in meters) after x weeks.
Complete the equation for the relationship between the thickness and number of weeks.
y=__________
Hi there!
Let the equation be
[tex]y = kx + b[/tex]
When x = 0, y = 2
And
when x = 3, y = 1.25
So, b = 2
3k + b = 1.25
=> k = -0.25
b = 2
Therefore, y = -0.25x + 2 (Substituting the two points)
Hope this helps !
determine the value of y if x is -4
y=(x-2)^2
Answer: y = 36
Step-by-step explanation:
To find the value of y, you can plug in the x-value (-4) to the equation:
[tex]y=[(-4)-2]^2[/tex]
[tex]y=(-6)^2[/tex]
[tex]y=36[/tex]
Therefore, y is equal to 36.
I hope this helps!
