A fireman leaned a 28 foot ladder against a building. If he placed the ladder 14 feet from the base of the building, what angle is formed between the ladder and the ground
Answer:
The ladder makes an angle of 60 degree from the ground.
Step-by-step explanation:
Length of the ladder, L = 28 feet
distance of ladder, d = 14 feet
Let the angle formed with the ground is A.
According to the trigonometry
[tex]\cos A =\frac{d}{L}[/tex]
[tex]\cos A =\frac{14}{28}[/tex]
cos A = 0.5
A = 60 degree
Find the area!!!!!!! thanks
Select the correct answer.
Consider the following equation.
[tex]5^{-x}[/tex]+7=2x+4
Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point.
a. x=[tex]\frac{7}{4}[/tex]
b. x=[tex]\frac{27}{16}[/tex]
c. x=[tex]\frac{13}{8}[/tex]
d. x=[tex]\frac{25}{16}[/tex]
Answer:
C
Step-by-step explanation:
I think
The solution to the equation above using three iterations of successive approximation is x = 25/16
What is an equation?An equation is an expression that is represented by the equality or equal to sign i.e "="
The equation is given as:
[tex]5^{-x} + 7 =2x + 4[/tex]
Equate to 0
[tex]5^{-x} + 7 -2x - 4 = 0[/tex]
Express as a function
[tex]f(x) = 5^{-x} + 7 -2x - 4[/tex]
The equation has a solution when f(x) = 0.
From the graph, we have:
x = 1.5
So, we have:
[tex]f(1.5) = 5^{-1.5} + 7 -2*1.5 - 4[/tex]
Evaluate
f(1.5) = 0.089
Set x to 1.52 to determine a closer value of f(x) to 0.
[tex]f(1.52) = 5^{-1.52} + 7 -2*1.52 - 4[/tex]
Evaluate
f(1.52) = 0.047
Set x to 1.54 to determine a closer value of f(x) to 0.
[tex]f(1.54) = 5^{-1.54} + 7 -2*1.54 - 4[/tex]
Evaluate
f(1.54) = 0.004
Notice that 0.004 is closer to 0 than 0.047 and 0.089
From the list of options, the closest value to 1.54 is 25/16
Hence, the solution to the equation above using three iterations of successive approximation is x = 25/16
Read more about equation solutions at:
https://brainly.com/question/14174902
#SPJ2
can anyone help with the math i have posted please?
Simplify.√75
A.3√5 B.15√5 C.25√3 D. 5√3
I recipe requires 1/2 cup of flour to make 9 cupcakes using this recipe how much flour is needed to make 12 cupcakes
Answer:
12/18 cups or 2/3 cups
Step-by-step explanation:
1/2 * 9 = 9/18
1/18 cup to make one cupcake
Find the area of a cross section parallel to the base of a cylinder with a radius of 2.5 cm and a height of 12 cm
Answer: 227.77 cm 2 here is your answer,
Can i have brainliest? i need one more to rank up
Step-by-step explanation:
Find the volume of the cone and round to the nearest tenth.
-13 in.
12 in.
А
1470.3 in.3
B
545. 3 in.
С
1960. 4 in.
D
490.1 in 3
Answer:
V≈1960.4
Step-by-step explanation:
opposite of jumping down 10 steps
Given circle c below,if m
please help me with the first couple steps of this problem
Simplify the following expression.
Answer:
x-4
Step-by-step explanation:
Which one of the following weighs least?
Which one of the following weighs least?
2 centigrams
2 grams
2 hectograms
2 kilograms
2 milligrams
Answer:
2 milligrams
Step-by-step explanation:
kg= 1000g
hectograms = 100g
decagram = 10g
grams = 1g
Decigrams = 100 g
centigrams = 100g
milligrams =1000g
Answer:
2 miligrams is the answer
Help meh ples and thank you. :p
Answer:
38.465
Step-by-step explanation:
Area of circle =
[tex]\pi \: r {}^{2} [/tex]
diameter= 7
radius is half of the diameter
Radius =7÷2 = 3.5
Area = 3.14 × 3.5 × 3.5
= 38.465 inch squared
Angle ABC measures 90 degrees. It has been split into two angles angle ABD and angle DBC. The measure of the two angles is in a ratio of 2:1. What are the measures for each angle.
Answer:
the angle measures are 60 and 30
On the first day of a social media ad campaign, a website had 15 unique visitors. Over the following several days, the website received three times the number of unique visitors as the previous day. The number of visitors, v, can be modeled by v=15⋅3^(d−1), where d is the number of days in the campaign.
On which day of the ad campaign did the website have 10,000 visitors?
4
7
9
6
Answer:
the answer is 7
Step-by-step explanation:
PLEEEEEEASE HELP MEEEEE!! ill give you 20 points
A dolphin is swimming 20 feet below the surface. It descends another 10 feet before rising 2
feet. How far below the surface is it now? {Show the number sentence.
Answer:
28 feet
Step-by-step explanation:
20 + 10 = 30 - 2 = 28 feet
The dolphin is 20 feet below the surface, goes down another 10 feet, so 30 feet below the surface, and raises two feet, so 28 feet below the surface.
Eight friends want to play enough games of chess to be sure everyone plays everyone else. How many games will they have to play?
The number of games, the friends have to play is an illustration of combination.
They have to play 28 games to ensure that they all play
Given
[tex]n = 8[/tex] --- number of friends
[tex]r = 2[/tex] --- only two friends can play at a time
For everyone else to play, we will make use of the following combination formula;
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]
[tex]^8C_2 = \frac{8!}{6!2!}[/tex]
Expand
[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]
[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]
[tex]^8C_2 = 4 \times 7[/tex]
[tex]^8C_2 = 28[/tex]
Hence, the 8 friends have to play 28 games to ensure that everyone else plays
Read more about combinations at:
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What is x?
8x+6=5x+30
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8x+6=5x+30}[/tex]
[tex]\large\textsf{SUBTRACT 5x to BOTH SIDES}[/tex]
[tex]\mathsf{8x+6-5x=5x+30-5x}[/tex]
[tex]\large\text{Simplify above to get your new equation}\uparrow[/tex]
[tex]\rightarrow\mathsf{3x +6=30}[/tex]
[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]
[tex]\mathsf{3x +6-6=30-6}[/tex]
[tex]\large\text{CANCEL out: \textsf{6 - 6} because that gives you 0}[/tex]
[tex]\large\text{KEEP: \textsf{30 - 6} because it helps you solve for your x value.}[/tex]
[tex]\mathsf{30-6=\bf 24}[/tex]
[tex]\large\text{New EQUATION: \textsf{3x = 24}}[/tex]
[tex]\mathsf{3x = 24}[/tex]
[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{3x}{3}=\dfrac{24}{3}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because it gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps solve for x}[/tex]
[tex]\large\text{New EQUATION: }\mathsf{\dfrac{24}{3}=x}[/tex]
[tex]\mathsf{\dfrac{24}{3}=24\div3=\bf 8}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
5 1/3 - 2 4/9= What is the answer?
Answer:
5 1/3 - 2 4/9 = 26/9
26/9 simplified equals 2 8/9
Step-by-step explanation:
I hope that my answer has helped you to understand you questions asked. If you have any further questions, please put them below.
Have a great rest of your day/night!
Answer:
[tex]2\frac{8}{9}[/tex]
Step-by-step explanation:
Help how many questions did you answer correctly
Answer:
450
Step-by-step explanation:
you divide 90 by 20 and times in by 100
Calculate the area.
5 cm
14cm
9 cm
The wholesale price for a watch is $25. The markup percent is 50%. What is the retail price?
Answer:
$50
hope this helps!!!!!!!!!
Mhanifa or anyone please answer!! Find x
Answer:
[tex]x=2.05[/tex]
Step-by-step explanation:
To solve this problem, use the trigonometric ratios. The trigonometric ratios for a right triangle (a triangle with a right angle are the following).
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
In this case, one is given the hypotenuse (the side opposite the right angle) and one is asked to find the side adjacent to the given angle. Therefore, it would make the most sense to use the trigonometric ratio of cosine ([tex]cos[/tex]).
[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]
Substitute,
[tex]cos(47)=\frac{x}{3}[/tex]
Inverse operations,
[tex]3(cos(47))=x[/tex]
Simplify,
[tex]x=2.05[/tex]
Answer:
[tex]x=2.0459[/tex]
Step-by-step explanation:
[tex]Cos 47=\frac{x}{3}[/tex][tex]x=3*Cos47[/tex][tex]2.0459[/tex]»»————- ♔ ————-««
hope it helps...
have a great day!!
What is the product of 2x+3 and 4x² - 5x+6?
1) 8x? - 2x2 + 3x + 18
3) 8x + 2x - 3x + 18
2) 8x? - 2x - 3x + 18
4) 8x2 + 2x + 3x + 18
Answer:
none
Step-by-step explanation:
(2x+3)(4x^2-5x+6)
factor over
8x^3-10x^2+12x+12x^2-15x+18
combine like terms
8x^3 + 2x^2 - 3x + 18
I need help on this :(
Answer:
-16
Step-by-step explanation:
4×(-2)²×(-1)³
=4×4×-1
=-16
2. What is the truth value of the following statement?
If a number is divisible by 3, then it is odd.
Answer:
False
Step-by-step explanation:
30 is divisible by 3 yet it is not an odd number, which means that this statement is false.
HELP PLEASE 50 POINTS WILL GIVE BRAINLIEST Drag and drop the expressions into the boxes to correctly complete the proof of the polynomial identity.
(x^2+y^2)^2+2x^2y2−y^4=x^2(x2+4y^2)
Answer:
the 6th expression, the 4th expression, the 1st expression
Step-by-step explanation:
What are the solutions of this quadratic equation?
25 points