Answer:
1.5 meters.
Step-by-step explanation:
The ladder is 4 meters.
It reaches the height of 3.7 meters on a wall.
This creates a right angled triangle of hypotenuse (4 meters) and height (3.7 meters).
We are to find the base length.
Applying the Pythagorean theorem;
a² + b² = c² , where a is the base length, b is the height length and c is the hypotenuse length.
∴ a² = c² - b² = 4² - 3.7² = 2.31
a (base length) = [tex]\sqrt{2.31}[/tex] = 1.519868415 meters
To round off the answer to the nearest tenth of a meter;
Tenth of a meter = [tex]\frac{1}{10}[/tex] × 1 meter = 0.1 meters
So we're rounding off the answer to one decimal place.
I.e 1.519868415 meters = 1.5 meters (rounded off to the nearest tenth of a meter.
Please help me I’ll mark brainliest
Answer:
Here I just did the Workin out. don't worry it's correct. Have a nice day!!
Find 6.3x10^-5/9x10^-3 in scientific notation.
Answer:
-7 × 10
Step-by-step explanation:
Explanation:
6.3
×
10
5
is the same value as
63
×
10
4
So we have:
63
×
10
4
9
×
10
3
ddd
→
ddd
63
9
×
10
4
10
3
ddddddddd.d
→
ddd
63
9
×
10
If the sum of the digits is exactly divisible by 3 then the actual number is also exactly divisible by 3
→
6
+
3
=
9
so we will divide both top and bottom by 3 to simplify the fraction.
ddddddddd.d
→
ddd
63
÷
3
9
÷
3
×
10
Note that:
63
÷
3
9
÷
3
=
21
÷
3
3
÷
3
=
7
1
=
7
so we have:
(
6.3
×
10
5
)
÷
(
9
×
10
3
)
=
7.0
×
10
Negative version works the same exact way but with a negative sign
The scientific notation of (6.3 × 10⁻⁵) / (9 × 10⁻³) on simplifying is 7 × 10⁻³.
What is scientific notation?
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It is also known as the standard form in the UK and scientific form, standard index form, and standard form.
Given:
The expression is (6.3 × 10⁻⁵) / (9 × 10⁻³),
The values in the negative power in the numerator go to the denominator and vice versa,
(6.3 × 10⁻⁵) / (9 × 10⁻³) = (6.3 × 10³) / (9 × 10⁵)
Divide the 6.3 by 9 as shown below,
(6.3 × 10⁻⁵) / (9 × 10⁻³) = 0.7 / 10²
(6.3 × 10⁻⁵) / (9 × 10⁻³) = 0.7 × 10⁻²
(6.3 × 10⁻⁵) / (9 × 10⁻³) = 7 × 10⁻³
To know more about scientific notation:
https://brainly.com/question/18073768
SPJ2
7x(42-22) +32 +4
please show work-
Answer:
140x+36
Step-by-step explanation:
hope this helps :)
!!Please Help!! Find the value of z to the nearest tenth.
Answer:
x = 14[tex]\sqrt{2}[/tex]
y = 14
z= 14[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.
52,428 divided by 34
Answer:
1542
Step-by-step explanation:
I’ll mark you a branilyst if you answer this question
Answer:
The answer is 8 cm, i would show work but im in school
Jackie spends 25% of her monthly salary on rent. Her rent is $650 a month. What is Jackie’s monthly salary?
Answer:2600
Step-by-step explanation: 25%=1/4
650×4=2600
Valentines $54 for nine hours of work at that rate how long will she have to work to earn $900
Answer:
Step-by-step explanation:
63 hours
hope it helps
Answer:
a little more than 16 1/2 hours but you should round it up to 17 hours
Step-by-step explanation:
If she can only work hours and not half hours or anything, the answer would be 17 hours and she will have a little more than $900 because 16 hours would be too little time.
(sorry if this is confusing but i hope it helped)
Which equation represents a line which is perpendicular to the line 5x + 2y = 12?
Answer:
y = ²/₅ x - 3Step-by-step explanation:
Changing to slope-intercept form:
5x + 2y = 12 {subtract 5x from both sides}
2y = -5x + 12 {divide both sides by 2}
y = -⁵/₂ x + 6
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y =-⁵/₂ x + 1 ⇒ m₁ = -⁵/₂
-⁵/₂× m₂ = -1 ⇒ m₂ = ²/₅
So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅
Karen recorded the numbers of people getting off her tram.
The mean number for 10 stops is 6.3.
After the tram stops at the 11th stop, the mean is 8.6.
How many people got off the tram at the 11th stop?
Answer:
32 people got off
Step-by-step explanation:
For the 10th stop, we can get the total number of people that have gotten off
Mathematically, this is the product of the mean and the number of stops
= 10 * 6.3 = 63 people
Now, for the 11th stop, the total becomes
11 * 8.6 = 94.6
Hence;
(94.6-63) = 31.6
since there are no fractional humans, the number of people getting off is 32
Basic geometry question: Anybody able to give a down to earth explanation of a POINT, a LINE, a RAY and a SEGMENT?
Answer:
A point is a coordinate pair
A ray is a starting point but no end point (so it goes on forever)
A segment is a line connecting two points
(I'm in 9th still learning-ish)
Solve.
Okay here is 20 letters brainy
Answer:
-12
Step-by-step explanation:
4 1/2 - 5 1/8 = -0.625
7.5 x -0.625 = -12
styles clash vs rko who will win
Answer:
rko
Step-by-step explanation:
Answer:
Step-by-step explanation:
styls clash baaaabyyy
solve 2x to the power of 2 = 32
Answer:
x=4
Step-by-step explanation:
x
=
4
or
x
=
−
4
Explanation:
First divide throughout by
2
to get
x
2
=
16
Now take the square root on both sides to get
x
=
±
4
.
You may now substitute the values of
x
=
4
and
x
=
−
4
back into the original equation and check that it satisfies the equation which it does.
7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
will be
(a) 2,600
(b) 2,700
(c) 2,800
(d) 3,000
with steps
Selling price of a bicycle = 2850
Profit percentage = 14%
We know that :
[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]
Then, the cost price of this bicycle :
[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]
[tex] = \tt \frac{285000}{114} [/tex]
[tex] =\color{plum} \tt2500[/tex]
Thus, the cost price of this bicycle = 2500
In another scenario :
Profit percentage = 8%
Cost price of the bicycle = 2500
Then, Selling price will be equal to :
Let x be the selling price of the bicycle.
[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]
[tex] = \tt2500 = \frac{100x}{108} [/tex]
[tex] =\tt 100x = 2500 \times 108[/tex]
[tex] = \tt100x = 270000[/tex]
[tex] =\tt x = \frac{270000}{100} [/tex]
[tex] =\color{plum}\tt x = 2700[/tex]
Therefore, the selling price with a profit of 8% will be = 2700
Solve for k: 17 + k = 29 k =
Answer:
k=12
Step-by-step explanation:
k=29-17
29-17=12
How do I solve this? I’m receiving steps which aren’t clear and I’m getting stuck in them.
What is 4 x 4 x 4 x 4 x 4 x 4 in exponential notation?
Answer:
[tex]4^{6}[/tex]
4096
Step-by-step explanation:
i tried
Answer:
[tex]4^{6}[/tex]
Step-by-step explanation:
4 x 4 x 4 x 4 x 4 x 4 it's really just counting how many 4's there are. In this case there are 6 and the number being repeated 6 times is 4 so we only put it as [tex]4^{6}[/tex]. I know I'm late just wanted to answer :'D
What is the length of EF in the right triangle below?
Answer: A.)
Step-by-step explanation:
1,296.
Answer:
I think the answer is 36
I need helppppppppppppp
Answer:
use math
Step-by-step explanation:
Different cities have different sales tax rates. Here are the sales tax charges on the same items in two different cities.
Complete the tables.
I think the lamp is 26.5? because maybe it is 25+1.50 since the first one was 8.00+0.48 I'm not sure about the others sorry:( I hope you'll get your answer though!
exact value of tan 5pi/12
Answer:
[tex]\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}[/tex]
Step-by-step explanation:
Tangent Half Angle
Given an angle θ, then:
[tex]\displaystyle \tan {\frac {\theta }{2}}=\frac {\sin \theta }{1+\cos \theta}[/tex]
We are required to find:
[tex]\tan\frac{5\pi}{12}[/tex]
But it cannot be found in tables of main angles. We can use the angle
[tex]\theta = \frac{5\pi}{6}[/tex]
And use the formula above to find the required operation. Hence:
[tex]\displaystyle \tan\frac{5\pi}{12}=\tan\frac{\frac{5\pi}{6}}{2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\sin \frac{5\pi}{6} }{1+\cos \frac{5\pi}{6}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{1-\frac{\sqrt{3}}{2}}[/tex]
Operating:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{\frac{2-\sqrt{3}}{2}}[/tex]
Simplifying:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}[/tex]
Rationalizing:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}\cdot \frac{2+\sqrt{3}}{2+\sqrt{3}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{2^2-\sqrt{3}^2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{4-3}[/tex]
Finally:
[tex]\boxed{\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}}[/tex]
g(x) = 3(x - 8) Find g(-2)
Answer:
Step-by-step explanation:
if g(x)=3x-8
replace x with -2
g(-2)=3(-2)-8=-6-8=-14
Please help me I need it it is my last question
Answer:
C
Step-by-step explanation:
Answer:
The best deal is c. 5 pints of oil for $8
Step-by-step explanation:
147 is what percdnt of 210
Answer:
70%
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
147/x * 210/100
147*100= 14700
14700/210 = 70
70%
b.
10 ft
C
3 ft
area of the rectangle =
area of the triangle =
Step-by-step explanation:
rectangle=l×w
10×3=30ft
triangle=b×h/2
10×3/2
30/2
=15ft
A triangle has A, B, and C located at(-3, 0). (3, 0), and (0, 4), respectively, on the coordinate plane. The medians of (triangle)ABC intersect
at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.
A. (1.5, 2)
B. (-1.5, 2)
C. (0, 1.3)
D. (0, 0)
Given:
Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).
To find:
The intersection point of all the medians of the triangle ABC.
Solution:
We know that, intersection point of all the medians of a triangle is called centroid.
The formula of centroid is
[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]
Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).
[tex]Centroid=\left(\dfrac{-3+3+0}{3},\dfrac{0+0+4}{3}\right)[/tex]
[tex]Centroid=\left(\dfrac{0}{3},\dfrac{4}{3}\right)[/tex]
[tex]Centroid=\left(0,1.333...\right)[/tex]
Round each coordinate to the nearest tenth.
[tex]Centroid=\left(0,1.3\right)[/tex]
The coordinates of required point are (0,1.3). Therefore, the correct option is C.
What is f(2) if f(x) = 2x-5 and f(4) if f(x) = -3x + 15
step by step please!
Answer:
f(2) = - 1 and f(4) = 3
Step-by-step explanation:
To evaluate f(2), substitute x = 2 into f(x), that is
f(2) = 2(2) - 5 = 4 - 5 = - 1
To evaluate f(4), substitute x = 4 into f(x)
f(4) = - 3(4) + 15 = - 12 + 15 = 3
Which relationship describes angles 1 and 2? Select each correct answer.
A)complementary angles
B) vertical angles
C)supplementary angles
D)adjacent angles
Brainly for the first person to give a good explanation and answer! :)
Answer:
d
Step-by-step explanation:its right
how do you find out the rate per hour using minutes
Answer: You do this by dividing the minutes worked by 60. You then have the hours and minutes in numerical form, which you can multiply by the wage rate
Step-by-step explanation:
Answer:
You do this by dividing the minutes worked by 60. You then have the hours and minutes in numerical form, which you can multiply by the wage rate. For example, if your employee works 38 hours and 27 minutes this week, you divide 27 by 60.
Step-by-step explanation: