Answer:
24.7 feet
Step-by-step explanation:
Maria who is 6 feet tall stands 20 feet away from the base of a tree she looks up at the top of the tree at a 43° angle of elevation.
what is the approximate height of the tree rounded to the nearest 10th?
We solve the above question using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
θ = Angle of elevation
Adjacent = Distance from the base of the tree = 20 feet
Opposite => Height of the tree = x
θ = 43°
tan 43 = x/ 20 feet
x = tan 43 × 20 feet
x = 18.650301723 feet
Approximately = 18.7 feet
We are told in the question that Maria is 6 feet tall
Therefore, the height of the tree = Maria's height + Height
= 6 feet + 18.7 feet
= 24.7 feet
PLS HELP 20 points
Triangle ABC is a right triangle with right angle B and altitude BD. If DC =54, AC=60, find AB (x) and BD (y)
Answer:
Hey Mate!
tis is ur answrr!
HELP ! How long is segment AB ?
Answer:
square root of (2+10)²+(-5+3)²
square root of 144+4
square root of 148
4x + 7y = 12
-8x - 14y = -24
Answer:
x = 3
y = 0
Step-by-step explanation:
4(3) + 7(0) = 12
-8(3) - 14(0) = -24
Find the
Width (in feet)
Answer
62
Step-by-step explanation:
Jonathan borrowed $5 from a friend who is charging him 5% interest every day on the $5. If his friend takes 4 weeks to pay Jonathan back, how much will he owe him. Use I= PRT
Answer:
$1.00
Step-by-step explanation:
5 (0.05) (4)= $1.00
hope this helps
Find the roots of f(x)=x^2 + 10x -96
PLEASE HELP ME- In the diagram below,
Answer:
Step-by-step explanation:
For this question, use the following functions.
f(x) = 2x + 6
g(x) = 4x2 – 9
Find a simplified expression for f(f(x)).
O 2x – 12
0 4x + 12
O 2x + 6
O 4x + 18
Answer:
4x + 18
Step-by-step explanation:
This is called a composite function, meaning passing the range of one function as a domain of another function.
For f(f(x)), the inner-function's range is passed as the domain of the outer function.
We can do so by substitution,
The range of f(x) can be written as 2x + 6 for any defined x values,
So we will substitute 2x + 6 as the 'x' of another function which is in this case
f(x) again, so it looks like this 2(2x+6) + 6 which can be simplified into
4x + 18
There are 640 calories in 4 scoops of ice cream. At this rate, how many calories would there be in 9 scoops of ice cream?
Answer:
1,440 calories
Step-by-step explanation:
Divide 640 by 4 to get how many calories there are per scoop.
640 calories ÷ 4 scoops = 160 calories per scoop
Then, we can multiple 160 by 9 to get the calories in 9 scoops.
160 calories per scoop × 9 scoops = 1,440 calories per 9 scoops
Answer:
1,440
Step-by-step explanation:
Brand XYZ dog food cost $36 for 15 pounds of dog food. What is the cost per pound?
Answer:
2.4 per pound
Step-by-step explanation:
36÷15=2.4
how do i know this i used my brain
Write 4x10 to the power of 6 in decimal notation.
Answer:
Since the exponent of the scientific notation is positive, move the decimal point 66 places to the right.
4000000
The expression 4 x [tex]10^6[/tex] in decimal notation is 4,000,000.
We have,
In scientific notation, a number is expressed as a product of a decimal number and a power of 10.
In the given expression, 4 x [tex]10^6[/tex], the base number is 4, and it is multiplied by 10 raised to the power of 6.
To convert this into decimal notation, we need to multiply the base number (4) by the power of 10 ([tex]10^6[/tex]), which means moving the decimal point six places to the right.
Starting with 4, we move the decimal point six places to the right, resulting in 4,000,000.
Thus,
The expression 4 x [tex]10^6[/tex] in decimal notation is 4,000,000.
Learn more about expressions here:
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How many milligrams are in one-half a gram?
In ΔQRS, r = 6.9 inches, ∠Q=40° and ∠R=101°. Find the area of ΔQRS, to the nearest 10th of an square inch.
Answer:
9.8 in²
Step-by-step explanation:
If A, B and C are the angles of a triangle and a, b, c are the repective sides opposite the angles, then the area of the triangle is given as:
Area = (1/2)absin(C)
In ΔQRS, the area is:
Area = (1/2)rqsin(S)
∠S + ∠Q + ∠R = 180° (sum of angles in a triangle)
∠S + 40 + 101 = 180
∠S = 39°
Using sine rule to find q:
[tex]\frac{q}{sinQ} =\frac{r}{sinR} \\\\\frac{q}{sin40}=\frac{6.9}{sin101} \\\\q=\frac{6.9*sin40}{sin101} =4.52 \ inches\\\\Area\ of\ triangle \ QRS=\frac{1}{2}rqsin(S) =\frac{1}{2}*6.9*4.52*sin(39)=9.8\ in^2[/tex]
A bubble may be enclosed in a square whose side
length is equal to the bubble's diameter. Four bubbles
in squares collide and merge into one large bubble in
a square. The area of the large bubble is equal to the
sum of the areas of the small bubbles. How is the side
length of the large square related to the side length of
one small square?
Assume 1 small bub side = 2cm
area = 2 × 2
= 4 cm²
total area of small bub
4 × 4 = 16cm²
area of big bub = total area of small bub
= 16cm²
one side of big bub
16 ÷ 4 = 4
1 small bub side : 1 big bub side
2 : 4
1 : 2
the side length of the large square is 2 times bigger than the side length of one small square.
Select all the correct descriptors for the relationship
Answer:
Options (1), (3) and (5)
Step-by-step explanation:
Coordinates of D → (2, 2)
Coordinates of E → (1, 6)
Coordinates of F → (5, 7)
Coordinates of G → (6, 3)
Length of ED = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(2-1)^2+(2-6)^2}[/tex]
= [tex]\sqrt{17}[/tex]
Length of FG = [tex]\sqrt{(5-6)^2+(7-3)^2}[/tex]
= [tex]\sqrt{17}[/tex]
Length of GD = [tex]\sqrt{6-2)^2+(3-2)^2}[/tex]
= [tex]\sqrt{17}[/tex]
Length of EF = [tex]\sqrt{(1-5)^2+(6-7)^2}[/tex]
= [tex]=\sqrt{17}[/tex]
Since, all sides of the given quadrilateral are equal in length, quadrilateral will be a square.
Therefore, diagonals EG and DF will be perpendicular, equal in measure, congruent and will bisect each other.
Options (1), (3) and (5) are the correct options.
Jaime drew the number line below to show 2/3 4/5. Explain how the number line shows 2/3 times 4/5. What is the product?
Answer:
[tex]\frac{2}{3} * \frac{4}{5} = \frac{6}{15}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3} * \frac{4}{5} =[/tex]
The number line is missing from the question.
So, I will answer the question and also draw the number line to show the product.
[tex]\frac{2}{3} * \frac{4}{5} =[/tex]
[tex]\frac{2}{3} * \frac{4}{5} = \frac{6}{15}[/tex]
To represent this on a number line;
We draw a number line of 15 points, and place a dot on the 6th point.
This represents 6/15
See attachment
Find the average value fave of the function f on the given interval. f() = 5 sec2(/6), 0, 3 2
Answer:
[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]
Step-by-step explanation:
To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3[tex]\pi[/tex]/2]
Proof -
We know that,
Average value of f in the interval [a, b] is -
[tex]f_{ave}[/tex] = [tex]\frac{1}{b - a}\int\limits^b_a {f(x)} \, dx[/tex]
Now,
Here a = 0, b = [tex]\frac{3\pi }{2}[/tex], f(x) = [tex]5sec^{2}(\frac{x}{6} )[/tex]
Now,
[tex]f_{ave}[/tex] = [tex]\frac{1}{\frac{3\pi }{2} - 0}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]
= [tex]{\frac{2 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]
= [tex]{\frac{10 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {sec^2 ({\frac{x}{6} }) } \, dx[/tex]
= [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ][/tex]
= [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ][/tex]
= [tex]{\frac{10 }{3\pi }}[ {1 - 0 } ][/tex]
= [tex]{\frac{10 }{3\pi }[/tex]
⇒[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]
Find the measure of the indicated angle. (image included)
I'm sorry I keep posting these it's just cause I don't understand still but i'm learning.
Answer: 88
The unknown angle in the left triangle is 80 since the sum of the angles in a triangle is 180.(180-60-40=80)
The unknown angle (the one that doesn't have a "?") is 36 since there's a straight angle which equals 180.(180-80-64)
Therefore the angle with the "?" is 88 since the sum of the angles in a triangle are 180(180-36-56)
Hope this helps!
y= 1/2x - 1
what's the slope and intercept.
Answer:
The slope is 1/2. The x-intercept is (2,0). The y-intercept is (0,-1)
Answer:
The slope is 1/2x and -1 is the (y) intercept
Step-by-step explanation:
Since y= 1/2x - 1 is already a linear equation (y=mx+b) you can use y=mx+b to find the slope and (y) intercept.m is the slope and b is the intercept
The diagram shows a cuboid of volume Vcm (cubed)?
(a) Show that V = 15 + 16x-x(squared) - 2x (cubed)
Answer:
see explanation
Step-by-step explanation:
The volume (V) of the cuboid is calculated as
V = (2x + 5)(3 - x)(x + 1)
= (3 - x)(2x + 5)(x + 1) ← expand the pair of factors using FOIL
= (3 - x)(2x² + 7x + 5)
= 3(2x² + 7x + 5) - x(2x² + 7x + 5) ← distribute parenthesis
= 6x² + 21x + 15 - 2x³ -7x² - 5x ← collect like terms and rearrange
= 15 + 16x - x² - 2x³
The volume of the cuboid is 15 + 16x - x² - 2x³
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume (V) of the cuboid is calculated as
Volume of cuboid is length times width times height.
V = (2x + 5)(3 - x)(x + 1)
= (3 - x)(2x + 5)(x + 1)
Expand the pair of factors using FOIL
= (3 - x)(2x² + 7x + 5)
= 3(2x² + 7x + 5) - x(2x² + 7x + 5) ←
Distribute parenthesis
= 6x² + 21x + 15 - 2x³ -7x² - 5x
Combine like terms and rearrange
= 15 + 16x - x² - 2x³
Hence, the volume of the cuboid is 15 + 16x - x² - 2x³
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Some one plesae heelp!1
Option (b) 1.00
Step-by-step explanation:
3.4×1.00 = 3.4
Answer:
1.00
Step-by-step explanation:
1.00 equals one therefore the actual equation is 3.4x 1 = 3.4
Or 3.4x1.00=3.4
Hope this helps.
Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KL + LM = 15.3. JKM is a right triangle because KL + LM = 18.2. JKM is not a right triangle because KL + LM ≠ 15.3. JKM is not a right triangle because KL + LM ≠ 18.2.
Answer:
JKM is not a right triangle because KL + LM ≠ 15.3.
Step-by-step explanation:
Given
[tex]JK = 13[/tex]
[tex]JL = 5[/tex]
[tex]JM = 8[/tex]
Required
Determine if JKM is right-angles or not
Calculate length KL using Pythagoras theorem.
[tex]JK^2 = JL^2 + KL^2[/tex]
[tex]13^2 = 5^2 + KL^2[/tex]
Collect like terms
[tex]KL^2 = 13^2 - 5^2[/tex]
[tex]KL^2 = 144[/tex]
[tex]KL = 12[/tex]
Calculate length LM using Pythagoras theorem.
[tex]JM^2 = JL^2 + LM^2[/tex]
[tex]8^2 = 5^2 + LM^2[/tex]
Collect like terms
[tex]LM^2 = 8^2 - 5^2[/tex]
[tex]LM^2 = 39[/tex]
[tex]LM = \sqrt{39[/tex]
[tex]LM = 6.2[/tex]
[tex]KM = KL + LM[/tex]
[tex]KM = 12 + 6.2[/tex]
[tex]KM = 18.2[/tex]
If JKM is right-angled, then:
[tex]KM^2 = JK^2 + JM^2[/tex]
[tex]KM^2 = 13^2 + 8^2[/tex]
[tex]KM^2 = 233[/tex]
[tex]KM = \sqrt{233[/tex]
[tex]KM = 15.3[/tex]
[tex]15.3 \ne 18.2[/tex]
i.e
[tex]KL + LM \ne 15.3[/tex]
Hence: JKM is not right-angled
Answer:
C-JKM is not a right triangle because KL + LM ≠ 15.3
Step-by-step explanation:
if right mark as brainliest
HELP ILL GIVE BRAINLIEST what’s the shape of the
Base?
Answer:
circle
Step-by-step explanation:
I NEED YOUR OPINION PLEASE
okay , so I am 13 years old . I had gotten my cartilage pierced on both ears for my 13th birthday. Fast foward, I had asked my mom if I could get another cartilage piercing and my tragus pierced . She told me to ask my father. I did not . So I had pierced my tragus and my cartilage on my ear .. And my mom nor my dad has no clue I done it .
I just feel guilty hiding it from them , more so my mom ..
Can anyone give me advice on how to tell them PLEASEEEEEEEEEE
You're gonna get caught anyways, just come out. If you don't, figure out a way to undo it.
Gary is buying bananas at the grocery store. The bananas cost $0.89 per pound. What is the equation for the cost (y) of (x) pounds of bananas Gary buys?
a. y=0.89+x
b. y=0.89-x
c. y=0.89/x
d. y=(0.89)x
Answer:
d
Step-by-step explanation:
I need help I'm so confused
Answer:
Yeah me too buddy :(
Step-by-step explanation:
A mix of factoring by grouping. Factor the exressions. 17ax+17a-x-1 Please explain/show steps on how to do this!
*edit: I know the answer to the problem because it was said aloud in a class, but I am not sure the steps to get there!
Answer:
[tex](x+1)(17a-1)[/tex]
Step-by-step explanation:
We are given that
[tex]17ax+17a-x-1[/tex]
We have to factorize the given expression.
Pair up the terms
[tex](17ax+17a)+(-x-1)[/tex]
Now, taking common factor
[tex]17a(x+1)-1(x+1)[/tex]
Taking common (x+1)
[tex](x+1)(17a-1)[/tex]
Now, we get
[tex](x+1)(17a-1)[/tex]
This is required factors of given expression.
I will give brainly
Find the probability that a randomly
selected point within the circle falls
in the red shaded area (square).
r = 4 cm
4√2 cm
[? ]%
Answer:
Step-by-step explanation:
This probability will be the area of the square divided by the area of the circle.
[tex]P=\frac{(4\sqrt{2})^2}{\pi 4^2}\\ \\ P=\frac{32}{16\pi}\\ \\ P=\frac{2}{\pi }\\ \\ \text{As a percentage}\\ \\ P=\frac{200}{\pi}\\ \\ P\approx 63.7\% [/tex]
a.55.48.27.12.0
b.62.40.9.3.25.
c.1.8.13.29.42.
d.15.34.0.7.28
of the following shows an arrangement of an integer from least to greatest
Answer:
C
Step-by-step explanation:
a) 55 > 48 > 27 > 12 > 0 ×
b) 62 > 40 > 9 > 3 < 25 ×
c) 1 < 8 < 13 < 29 < 42 ✓
d) 15 < 34 > 0 < 7 < 28 ×
Shawn erned 5 dallors an hour mowing lawns pluse 10 welkly allounce from his parents what minmin number of hours he needs to mow in order to have enuf money to buy 75 dallars par of basketball sheows
Answer:
13 hours
Step-by-step explanation:
Since Shawn mows lawns at a rate of 5 dollars an hour, if he mows for t hours, he earns 5t dollars. Also, he gets 10 dollars weekly allowance from his parents. Thus, the total amount he earns per week is thus 10 + 5t.
Since he needs to earn enough to buy 75 dollars pair of basketball shoes, the amount he earns must equal the price of the shoes. So,
10 + 5t = 75
We now solve for t to find the amount of hours if takes him to earn enough to buy the shoes.
So,
10 + 5t = 75
Subtracting 10 from both sides, we have
10 - 10 + 5t = 75 - 10
5t = 65
dividing both sides by 5, we have
t = 65/5
t = 13 hours
So, it takes Shawn 13 hours to earn enough to buy the shoes.