please this is half my grade!!!
Benjamin has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8 ft above the ground. What is the angle, rounded to the nearest tenth, that the ladder makes with the ground? Show your work
2. What is the length of side YZ to the nearest tenth? Show your work.
side XY is 11 feet, and angle Z is 35 degrees(this is a right triangle)
3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.
Side AC is 14 feet, this is a right triangle, and angle A is 30 degrees
The special right triangle is the right triangle that have acute angle values
that simplify the process of finding its dimensions.
The correct values are;
1. The angle the ladder makes with the ground, is approximately 66.93°
2. The length of YZ is approximately 19.18 ft.
3. CB = 7 ft. and AB = 7·√3 ft.
Reasons:
1. The length of the ladder = 15 ft.
Height of the ladder above the ground, h = 13.8 ft.
Required:
The angle the ladder makes with the ground.
Solution:
The angle the ladder makes with the ground is given by the equation;
[tex]sin(\theta) = \dfrac{Length \ of \ the \ ladder}{Height\ of \ the \ ladder \ above the \ ground} = \dfrac{13.8}{15} = 0.92[/tex]
[tex]\theta = arcsin\left(0.92 \right) \approx 66.93^{\circ}[/tex]
2. The given parameters are;
XY = 11
∠Z = 35°
YZ = Required
In a right triangle, the side facing the acute angle is a leg of the triangle.
Therefore;
XY is the opposite side to ∠Z
[tex]sin(\angle Z) = \dfrac{XY}{YZ}[/tex]
Which gives;
[tex]sin(35^{\circ}) = \dfrac{11}{YZ}[/tex]
[tex]YZ= \dfrac{11}{sin(35^{\circ}) } \approx 19.18[/tex]
YZ ≈ 19.18 ft.
3. AC = 14 ft.
∠A = 30
Required:
The length of the other two sides
Solution:
Where by AC is the hypotenuse side, we have;
CB = AC × sin(∠A)
Therefore;
CB = 14 × sin(30°) = 7
CB = 7 ft.
AB = AC × cos(∠A) = 14 × cos(30°) = 7·√3
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1. The angle the ladder makes with the ground, is approximately 66.93°
2. The length of YZ is approximately 19.18 ft.
3. CB = 7 ft. and AB = 7·√3 ft.
Brett made oat bars for his school's bake sale. For his first batch, Brett mixed 1 cup of caramel chips and 4 cups of oats. To make sure he had enough, he made a second batch, and mixed 2 cups of caramel chips and 8 cups of oats. Which batch of oat bars was more caramelly?
Answer:
They would be equally caramelly, the ratio of oats:caramel is equal
Step-by-step explanation:
What is the sum for:
(2x−6)+4(x−3)
Answer:
6x - 18
Step-by-step explanation:
2x - 6 + 4x - 12 = 6x - 18
First, distribute the 4 and then combine the like terms to get 6x - 18.
Answer:
x=-2
Step-by-step explanation: First we can multiply 4 times anything in the parenthesis to get rid of it.
(2x-6)+4(x-3)
(2x-6)+4x-12
Then we combine like terms.
(2x-6)+4x-12
6x-6-12
6x-18
Finally we divide both sides by 6.
6x-18
6x/6-18/6
x=-2
How to get p value from t.
Answer:
For a lower-tailed test, the p-value is equal to this probability; p-value = cdf(ts).For an upper-tailed test, the p-value is equal to one minus this probability; p-value = 1 - cdf(ts)Which system of equations could be graphed to solve the equation below? log Subscript 0.5 Baseline x = log Subscript 3 Baseline 2 x
Answer:
Step-by-step explanation:
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x
What is the solution of ?
Answer:
of what???????..???..
10
−
3
x
=
−
2
(
x
+
4
)
Answer:
x = 18
Step-by-step explanation:
10 − 3x = − 2 (x + 4)
=> 10 − 3x = -2x - 8
=> x = 18
Hoped this helped.
Answer:
x = 18
Step-by-step explanation:
10 - 3x= -2(x+4)
First, we solve inside the parentheses.
10 - 3x= -2x - 8
Like terms:
-3x + 2x= -10 - 8
-x/-1 = -18/-1
x = 18
Davina received 50 votes, Binh received 40 votes. What is the ratio of Binh's votes to Davina's votes in simples form?
Answer:
The answer is 4 hope this helps
on a map, 1 inch equals 25 miles. If two cites are 4 inches apart on the map, how far are they actually apart?
Answer: They are 100 miles apart
Step-by-step explanation:
1 inch = 25 miles
4x25=100
Answer: 100 miles
Step-by-step explanation:
Since we have 25 miles per inch. and there are 4 inches, you would multiply 25 by 4 to get to your answer of 100 miles.
25x4=100
A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.
How many seconds, s, will it take for the balloon to drop to below 215 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
Answer:
[tex]<174\frac{4}{9}[/tex] hopes this helps :D
Step-by-step explanation:
The solution is s > 174 4/9
The inequality equation is s > 174 4/9 and it will take 174 4/9 seconds for the hot air balloon to reach below 215 feet
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is given by
Let the total altitude of the hot air balloon be = 1000 feet
Now , the hot air to reach below 215 feet , the hot air balloon should descend a total of = 1000 - 215 feet
So , the value of hot air balloon should descend = 785 feet
And ,
The rate at which the hot air balloon descends = 4 1/2 feet per seconds
So , the number of seconds s for the hot air balloon to reach an altitude more than 785 feet is given by the inequality equation A
where ( 4 1/2 ) x s > 785
On simplifying the equation , we get
( 4 1/2 )s > 785
( 9/2 ) s > 785
Multiply by 2 on both sides of the equation , we get
9s > 1570
Divide by 9 on both sides of the equation , we get
s > 174 4/9
Therefore , the value of A is s > 174 4/9
Hence ,
The inequality equation is s > 174 4/9 where s is the number of seconds
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By copying and completing the working below, work out 3 + 1 16 Give your answer as a fraction in its simplest form.
Answer:
Assuming the question is: 3 + 1 16 [I see no "working below."
Step-by-step explanation:
3 + 1 16
48/16 + (16/16 + 1/16) [Make all numbers into fractions using 16 as the denominator. E.g. 48/16 = 3.
Add: 48/16 + (16/16 + 1/16)
(48+16+1)/16
=63/16
[Also equal to 3 15/16]
Jimmy is interested in purchasing some yellow and red flowers for his mother's birthday. He visits a local floral shop and gift shop. Both businesses have a variety of flowers from which he can choose. Which answer best describes the sample and population
Answer:
ll available yellow and red flowers at the two businesses
Population: all available flowers at the two businesses
Step-by-step explanation:
The sample and population should be sample represents all yellow and red flowers while the population represents all flowers.
What are the sample and population?The entire group about whom you want to make conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the population as a whole. A population in research doesn't usually refer to humans.
An entire group from which a conclusion should be derived is referred to as a population. The sample, on the other hand, refers to the population from which the data is drawn.
So based on this, we can say that the sample represents all yellow and red flowers while the population represents all flowers.
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Hey can some one help me on this one please
Answer:
The first and third are functions.
Step-by-step explanation:
Functions must have only one y-value for an x-value.
3/4 + 7/8 =??????????????????
Answer:
13/8
in decimal form it is 1.625
Step-by-step explanation:
Answer:
13/8 or 1 5/8
Step-by-step explanation:
Is it possible to have a triangle with the following sides?
a) 9 cm, 40 cm , 41 cm b) 5.4 cm, 3 cm, 2 cm
Answer:
In My Opinion, A
Step-by-step explanation:
the measurements are obeying the rule of Pythagorean triplet.
Hence,
This rule also satisfies Pythagorean theorem.
So therefore,
The triangle is a right angled triangle.
I hope this helps
Kelly runs a bakery that sells Chocolate Blizzards and Mint Breezes. The bakery must make at least 25 dozen and at most 45 dozen Chocolate Breezes. The bakery must make at least 2 dozen and at most 15 dozen Mint Breezes. Each dozen of Chocolate Blizzards requires 5 ounces of flour while each dozen of Mint Breezes requires 9 ounces of flour. The bakery only has 315 ounces of flour available. If a dozen Chocolate Blizzards generates $2.92 in income, and a dozen Mint Breezes generates $2.11 in income, how many dozen of each dessert should Kelly make to maximize profit? Show all work. I just need the equations I would need to get this answer.
Does the point (5, -1) lie on the line 2y + 3x = 13?
Answer: Yes
Step-by-step explanation:
You can find out by inputting your values
2y + 3x = 13
x = 5
y = - 1
2(- 1) + 3(5) = 13
- 2 + 15 = 13
13 = 13
HELP ASAP
Solve for the measure of ∠PMR. Show your work and explain how you got your answer.
Answer:
[tex]gy78093 x^{2} 67[/tex]
Step-by-step explanation:
Please help! Also dont send any links; it doesn't work for me
Answer:
Step-by-step explanation:
-1 to 0 is divided in four parts.
similarly 0 to 1 is divided in four parts
so each fraction on either side is 1/4 onthe right of 0 and -1/4 on the left of 0.
A is 2 parts on the right of 0,A=2×1/4=1/2=0.5
Bis 1 part left of 0,B=1×(-1/5)=-1/5=-0.2
first three common factors of 3 and 9?
Answer:
The GCF of 3 and 9 is 3.
Step-by-step explanation:
2h(3m-4h)please help me
Answer:
6hm-8h^2
Step-by-step explanation:
2h(3m-4h)
2h*3m=6hm
2h*4h=8h^2
=6hm-8h^2
It costs $3 to bowl a game ad $2 for a shoe rental.
Answer:
Whats the question
Step-by-step explanation:
Apple pie is my favorite. I bake a lot of it because i never got my fair share as a kid. Last year I got a little carried away and had 7 1/4 pies left over. I cut the pie into pieces to freeze and save for later. Each piece as 1/8 of a whole pie. How many pieces of pie did I freeze?
Answer:
58
Step-by-step explanation:
You would have to turn 7 1/4 into a whole fraction.
Do,
7 * 4 = 28
28 + 1 = 29
Your new fraction would be,
29/4
Now you have to make them equal denominators with 1/8.
Lets see,
Now multiply 4 * 2 is 8.
So multiply 29 times 2.
Which is 58.
Your new fraction is,
58/8
So therefore you would have 58 pieces.
Can somebody please help me?!! I will give BRAINLIEST!!
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. [Attached]
The coordinates of the y intercept are (0,3).
The coordinate of the y-intercept of the line is (0, 3)
Equation of a line
The equation of a line in slope-intercept form is expressed as y = mx + b.
where:
m is the slope the lineb is the y-interceptGiven the coordinate points (-1, 7) and (1, -1).
Get the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]
Get the y-intercept:
Recall that y = mx + b
Using the coordinate point (1, -1) and m = -4
-1 = -4(1) + b
-1 = -4 + b
b = -1 + 4
b = 3
The equation of the line is y = -4x + 3
Get the y-intercept:The y-intercept occurs at the point where x = 0
y = -4(0) + 3
y = 0 + 3
y = 3
Hence the coordinate of the y-intercept of the line is (0, 3)
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| Solve for X
8x + 1 = 49
You and your classmate went to get lunch and your total bill (before taxes) was $48.50. You liked the food and want to leave a tip of $20%. What is the tip?
Answer:
9 dollars 70 cents
Step-by-step explanation:
20% of 48.50
Help me
Will mark brainliest
Do not give the answer like this
‘answer in a file’ otherwise I will report
More points will be given
My question is Q7.
here u go! sorry I didn't give an exact answer but i hope this works bc it did for me
Estella signed a one-year lease. She pays $720 per month in rent. If she wants to move out three months early, how much money will she owe when she moves out? I assume $2,160 ??
Answer:
$2160
Step-by-step explanation:
Since she moved out 3 months early, you would do 720x3, since she pays $720 every month. 3x720 = $2160
The FM radio station KAMB broadcast from an antennae atop a 150 meter tall radio tower at a frequency of 90 MHz with a total radiated power of 40 kilowatts. Neighbors have complained about problems they attribute to excessive radiation from the tower, but the city engineer who measured the radiation level near the base of the tower found it to be well below the accepted standard. You have been hired by the HOA to assess the engineer's report. You know a few things about electromagnetic radiation and therefore conclude that we must find the optimum place on the ground to measure the maximum radiation emitted from the antennae. From your extensive knowledge in physics, you know that the intensity of radiation, I, is given by the formula:
I=12/32π*Psin2(θ)/r^2
where P is the power output, r is the distance from the top of the tower to the point on the ground, and θ is the angle measured from the tower to r.
Find the distance R from the base of the tower to the optimum location for taking the radiation reading. (m)
What is the maximum radiation reading from the ground in kw/m^2
If the city code requires that electromagnetic radiation be under 200 microwatts per square meter, is this antenna operating within city code? Yes or No
Answer: 150 m, 5.305*10^-5 kW/m^2, No
Step-by-step explanation:
See attachment, hope this helps
Using the radiation intensity formula we will have to:
a) [tex]150 m[/tex]
b) [tex]5.305*10^{-5} kW/m^2[/tex]
c)No
From the data informed, we have:
[tex]h=150m\\P=40KW[/tex]
Using the given formula and performing some mathematical operations:
[tex]I=\frac{12Psin^2(\theta)}{32(\pi)r^2} \\I= \frac{12(40)(R/r)^2}{32(\pi)r^2} \\= \frac{15R^2}{r^2\pi } \\= \frac{15R^2}{(R^2+150^2)^2\pi} \\[/tex]
deriving the given equation, we will have:
[tex]=\frac{(R^2+150^2)^22R-R^2(2(R^2+150^2))2R}{(R^2+150^2)^2}[/tex]
So from this equation we have that the answer of the letter A corresponds:
[tex]R=150[/tex]
For letter B we will have to develop this equation:
[tex]I= 5.30X10^{-5}[/tex]
As for the letter C, when converting the value found, it should give 200 microwatts, which is false.
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Someone help me please :(
Answer:
ok, but i can't even see nothing, though ;-;