A builder places a 2.9m ladder on horizontal ground, resting against a vertical wall. to be safe to use, the base of this ladder must be 1.3m away from the wall. how far up the wall does the ladder reach? GIve ur answer to 1 decimal place
The length up the wall does the ladder reach is 2.59 meter
What is Pythagorean theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
What is Right triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
Given,
Length of the ladder = 2.9 meter
Distance from base to wall = 1.3 meter
Draw the figure using the given data
Apply Pythagorean theorem
[tex]AB^{2}+BC^{2}= AC^{2}\\ AB^{2}=AC^{2}-AC^{2} \\ AB^{2}=2.9^{2}-1.3^{2}\\ AB^{2}=6.72\\ AB=\sqrt{6.72}[/tex]
AB=2.59 meter
Hence, the length up the wall does the ladder reach is 2.59 meter
Learn more about Pythagorean theorem and Right triangle here
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If AC = x + 6, and AB = 15 solve for x.
add the complex numbers: (4 + 8j) + (-2 - j)
Answer:
7j+2 or 2+7j
Step-by-step explanation:
(4+8j)+(−2−j)
Subtract 2 from 4 to get 2.
2+8j−j
Combine 8j and −j to get 7j.
2+7j
HELPPPPPPP PLEASEEEE I AM SO DESPERATE
Answer:
Select A, C, D, and F
Step-by-step explanation:
B is not multiplication
C is correct
D is shorter form, correct
F is correct
Plz mark as brainliest if correct! Have a nice day!!!
10 is 60% of what number
Answer:
16.7
Step-by-step explanation:
10 = 60% of x
10 = 0.6x
0.6x = 10
x = 10/0.6
x = 16.666...
Answer: 16.7
Use the half-angle formulas to find the exact value of the trigonometric function sin 15°
Answer:
sin 15° = 0.2588
Step-by-step explanation:
The half angle formula is:
[tex]\sin{(\frac{x}{2})} = \pm \sqrt{\frac{1 - \cos{x}}{2}}[/tex]
sin 15°
The double of 15º is 30º. First quadrant, so the sine is positive.
[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}}[/tex]
Since [tex]\cos{30} = 0.866[/tex]
[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}} = \sqrt{\frac{1 - 0.866}{2}} = 0.2588[/tex]
sin 15° = 0.2588
Help pls quick!!!!ALSO TY
Step-by-step explanation:
6: (5×7)+ (2×9)= 53
7: (6×2)× (3×8) +4= 40
question 8, i havent learnt it yet
Answer:
3. is triangle (3 sides)
4. is pentagon (5 sides)
5. hexagon (6 sides)
LMK RIGHT NOW PLEASE.
Answer:<B=96
<8+<D=180
<8+84=180
<8=180-84
<8=96
Step-by-step explanation:
hope it helps have a nice day!!
If you feed your puppy 8 ounces of dog food twice a day how many pounds of food do you feed in one day
Answer:
u add 8+8 or 8x2 and you get 16 onces then convert that to pounds and you get 1 pounds bc 16 onces = a pound
step-by-step explanation:
brainliest?
Is landing on a number less then 10 on a 6 sided dice impossible?
Answer:yes
Step-by-step explanation:
if you have two dice one dice can land on a 4 and 6
What is 0.574 rounded to the nearest hundredth?
Answer:
B .57
Step-by-step explanation:
hundredths place is the second decimal place. And because the thousandths place is less than 5, you round down.
Yesterday, Carmen had b baseball cards. Today, she gave 12 away. Using , write an expression for the number of cards Carmen has left.
hi,
So carmen has b baseball cards and she gives 12 away.= b-12
So let the cards left be x
So the expression is b-12=x.
hope it helps... :-)
Math help! Answer pls?
Answer:
22 degrees
Step-by-step explanation:
Just do arccos(0.9272) on your calculator or just do 90 minus 68.
Mohan is a farmer. He has a rectangular field of length 65m and width15m.
He digs a circular flower bed of radius of 7m at the field( π=22/7 ).
a) Find the area of the flower bed.
plese answer fast
b) Find the area of the remaining portion of the field.
c) Find the cost of levelling the remaining field at the rate of ₹5 per sq m.
Answer:
(a) [tex]Area = 154m^2[/tex]
(b) [tex]Remaining\ portion = 821m^2[/tex]
(c) [tex]Cost = 4105[/tex]
Step-by-step explanation:
Solving (a): The area of the flower bed
Given
[tex]r = 7m[/tex]
[tex]\pi = 22/7[/tex]
The area is:
[tex]Area = \pi r^2[/tex]
[tex]Area = 22/7 * 7^2[/tex]
[tex]Area = 154m^2[/tex]
Solving (b): The area of the remaining portion
Given
[tex]Length= 65m[/tex]
[tex]Width = 15m[/tex]
First, we calculate the field area
[tex]Area = Length * Width[/tex]
[tex]Area = 65m * 15m[/tex]
[tex]Area = 975m^2[/tex]
Subtract the area of the flower pot from the filed area to get the area of the remaining portion
[tex]Remaining\ portion = 975m^2-154m^2[/tex]
[tex]Remaining\ portion = 821m^2[/tex]
Solving (c): The cost of leveling the remaining field
Given
Rate = 5 per square meter
In (b) above, the area is 821m^2
So, the cost will be:
[tex]Cost = 821 * 5[/tex]
[tex]Cost = 4105[/tex]
Pls solve showing steps, thanks!
7^4n+19/7^3n-1•7^n+20
Answer:
This expression can be simplified to 1
Step-by-step explanation:
[tex]\frac{7^{4n + 19}}{7^{3n - 1}\times{7^{n + 20}}}\\\\= \frac{7^{4n + 19}}{7^{3n - 1 + n + 20}}\\\\= \frac{7^{4n + 19}}{7^{(3n + n) + (20 - 1)}}\\\\= \frac{7^{4n + 19}}{7^{4n + 19}}\\\\= 1[/tex]
Charlie buys a pack of 8 thank you cards for $1.20 using the nickels shown below. How much does he spend on each thank you card?
Answer:
15 cents each
Step-by-step explanation:
you divide 1.20 by 8
Help due today ‼️‼️‼️‼️‼️
Answer:
SA = LA + 2B
Step-by-step explanation:
find the area of bases, 2(.5*6*8)=48
find area of rectangles (LA) , (17*8)+(17*8)+(17*10)
Add everything for SA
When solving the system of equations 3x−3y=1 and −2x+4y=2 algebraically, a good first step is to:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
B. Multiply 3x−3y=1 by 3, and multiply −2x+4y=2 by −2.
C. Rewrite both equations in slope-intercept form.
D. Add the equations together.
Answer:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
Step-by-step explanation:
Given
[tex]3x - 3y = 1[/tex]
[tex]-2x+ 4y = 2[/tex]
Required
A good first step
A good first step is to eliminate x and this is done as follows:
Multiply [tex]3x - 3y = 1[/tex] by 2 (gotten from coefficient of x in the second equation)
Multiply [tex]-2x+ 4y = 2[/tex] by 3 (gotten from coefficient of x in the first equation)
This gives:
[tex]6x - 6y = 2[/tex]
[tex]-6x + 12y = 6[/tex]
Add both equations
[tex]6x - 6x - 6y + 12y = 2 + 6[/tex]
[tex]6y = 8[/tex]
[tex]y = \frac{4}{3}[/tex]
Hence (a), is true
Find the measure of each angle of the triangle HIJ. There will be three answers. (Hint: find the value of x first.)
52,75,90,48,90 whats the range of these scores
Answer:
42
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is
90−48=42
what number is 22 more than another. Their product is -121. Find the numbers by solving the equation
Answer:
what is the answers
Step-by-step explanation:
Let's say Jose deposited $2,700 into a CD account with an Annual Percentage Rate
(APR) of 4%, compounded annually, and he must leave it in the account for at least 5
years.
Answer:
$3283.2
Step-by-step explanation:
Given data
Principal= $2700
Rate= 4%
Time= 5 years
Required
the final Amount A
The compound interest formula is
A=P(1+r)^t
Substitute
A=2700(1+0.04)^5
A=2700(1.04)^5
A=2700*1.216
A=$3283.2
Hence the balance in the account after 5 years is $3283.2
need help with this top problem please!
Answer:
y ≈ 88.54207824°
Step-by-step explanation:
Law of Sines Formula:
[tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]
[tex]\frac{sin 51}{83} = \frac{sin 56}{y}\\y = \frac{sin 56 * 83}{sin 51}[/tex]
y ≈ 88.54207824°
Can you pls help me hurry thank you
Answer:
C = 188.4 cm
General Formulas and Concepts:
Math
π (pi) - 3.14159265Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Circumference Formula: C = 2πr
C is circumferencer is radiusStep-by-step explanation:
Step 1: Define
Radius r = 30 cm
Step 2: Solve for C
Substitute in r [Circumference Formula]: C = 2π(30 cm)[Circumference] Multiply: C = 60π cm[Circumference] Multiply: C = 188.4 cmYolanda needs $300 to buy a TV for her room. She has already
saved $50. She earns $ 10 an hour at her job. Set up and solve an
equation to find how many hours she needs to work to buy the TV.
(Use X +
to set up the equation.)
Answer:
she will have to work 25 hours
Step-by-step explanation:
$10 per 1 hour she has $50
$300-$50=$250
10 x 25 =250
I suck at word problems and am kind of confused on what I am supposed to do here?
Raymond purchases concert tickets online for $43.50. There is a 3% processing fee. What is the total cost of
the tickets? Round to the nearest cent.
Answer:
$44.80
Step-by-step explanation:
....................
Answer:
44.81
Step-by-step explanation:
Each fully colored ten block represents 1 whole the number represent above will be divided into 11 equal part how many squares need to be colored
Given:
Some boxes are fully colored.
Each fully colored ten block represents 1 whole.
The number of colored boxes will be divided into 11 equal part.
To find:
The number of squares need to be colored on each of the 10 blocks.
Step-by-step explanation:
From the given figure, it is clear that,
Number of colored box = 55
The number of colored box will be divided into 11.
[tex]\dfrac{55}{11}=5[/tex]
Therefore, 5 squares need to be colored on each of the 10 blocks.
There are 6 cabbages and 8 carrots in a bag. How many carrots need to be added to make the ratio of
cabbages to carrots 1:3?
Answer:
10 carrots
Step-by-step explanation:
So we have 6:8 which is 3:4, meaning that something needs to be changed
Solve for x assuming that we have 6 cabbages
1/3=6/x
x=18
Now we have 6:18, which is 1:3 simplified
There are already 8 carrots so subtract 8
18-8=10
Patty knows that a 45-ounce pitcher can hold enough lemonade for 5 people. At this rate,how many ounces of lemonade will patty need to serve 26 people ?
Answer:
234 ounces for 26 people
Step-by-step explanation:
45/5 = 9 ounces per person
(9)(26) = 234 ounces for 26 people