1.6-metre tall man stands 11 m from the base of a tree. He views the top of the tree at an
angle of elevation of 58°. How tall is the tree?
Answer:
17.60mStep-by-step explanation
The set up is a right angled triangle
Given
angle of elevation = 58°
Distance of the man from the tree = adjacent = 11m
Required
Height of the tree h (Opposite)
Using the TOA identity
tan theta = opposite/adjacent
tan 58 = h/11
h = 11tan58
h = 11(1.6)
h = 17.60
Hence the tree is 17.60m tall
Which of these is a unit rate? (from time4learning)
(A). $3.50 for 2 gallons of juice
(B). $5.00 for 3 pounds of cheese
(C). $4.25 for 1 watermelon
(D). $2.75 for 6 hamburger rolls
Answer:
B
Step-by-step explanation:
what is everyones favorite UNDERTALE character
Answer:
flowey the flower (aka: Asriel Dreamer)
Step-by-step explanation:
Answer:
papyrus flowery
Step-by-step explanation:
What is $27.00 in cents
Answer:
2700
cents
Step-by-step explanation:
PLEASE HELP HURRY LOOK AT IMAGE!!!!
0 = 4x + 4 linear equation
Answer:
x = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
0 = 4x + 4
Step 2: Solve for x
Subtract 4 on both sides: -4 = 4xDivide 4 on both sides: -1 = xRewrite: x = -1which equation represents this graph?
Answer:
It would be the 1st answer, y= 3/2x + 2.
Step-by-step explanation:
The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps
what is the meaning of the slope in this situation?
Answer:
add a photo please do we can help you better
Answer:
The picture is non-existent
Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
D
36 cm
X
h
A А
E
20 cm
Answer:
h = 24 cm
Step-by-step explanation:
By using the similar triangle property in the given triangles,
Since, ΔBCD ~ ΔBAE
Their corresponding sides will be in the same ratio,
[tex]\frac{BC}{BA}= \frac{CD}{AE}= \frac{BD}{BE}=\frac{a}{h}[/tex]
[tex]\frac{CD}{AE}=\frac{a}{h}[/tex]
[tex]\frac{10}{20}=\frac{(36-h)}{h}[/tex]
10h = 20(36 - h)
10h = 720 - 20h
30h = 720
h = 24 cm
Therefore, height h = 24 cm is the answer.
Answer:
24
Step-by-step explanation:
I took the test
Please helppppppppppp
Answer:
21.92
Step-by-step explanation:
division
87.68 ÷ 4
Answer:
The answer is 21.92
Step-by-step explanation:
87.68 divided by 4
There is 4 people and the total is $87.68
A line AB joins the points A (3,4) and B (5,8). Write down the coordinates of the midpoint of the line AB
Please help
Thank you
Given:
A line AB joins the points A (3,4) and B (5,8).
To find:
The midpoint of the line AB.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is
[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]
[tex]Midpoint=\left(4,6\right)[/tex]
Therefore, the midpoint of the line AB is (4,6).
Need help finding x.
Answer:
Step-by-step explanation:
SOH CAH TOA to help remember how the trig functions fit on the triangle
use SOH since we know the angle and the hypotenuse and want to find the opposite side
Sin(x)= Opp/ Hyp
Hyp* sin(38) = Opp
12* 0.6156614753 = Opp
7.3879377...
7.4 is the answer
Please help, this is called Writing Equations
Answer:
I think its the 2nd one im not sure tho
Step-by-step explanation:
Answer:
first one is 14.
second one is 131-11=6B
Step-by-step explanation:
1) 252/18=14
2) you want to know how much 6 books sre and it says you got 11 dollars change so u take 11 from 131 to get the price of 6 books
hope that helps :)
Plz need help thank u sm
Answer:
x = 5
Step-by-step explanation:
Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.
6x - 5 = 5x (Given)
-5 = -x (Subtract 6x on both sides)
5 = x (Divide -1 on both sides)
Therefore, x = 5.
Answer:
x = 5
Step-by-step explanation:
Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.
Therefore, triangle GJH is an equilateral triangle.
Measures of all sides of an equilateral triangle are equal.
So,
6x - 5 = 5x
6x - 5x = 5
x = 5
32) Convert this fraction to a decimal number: 4/10
Answer:
40%
Step-by-step explanation:
The mean and standard deviation of the sample data collected on continuous variable are -0.25 and 0.03, respectively. The following table shows the
relative frequencies of the data in the given intervals.
Interval
Relative Frequency
0.02
0.15
0.33
-0.34 < x < -0.31
-0.31 <<< -0.28
-0.28 << -0.25
-0.25 < 3 < -0.22
-0.22 <3 < -0.19
-0.19 <<< -0.16
0.36
0.11
0.03
Based on the table, do the data support the use of a normal model to approximate population characteristics?
A Yes, because the sum of the relative frequencies is 1.00.
B
Yes, because the distribution of relative frequencies is very close to the empirical rule for normal models.
с
No, because the values are negative and normal models are used for positive values.
D
No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
E
No, because the sample size and the population parameters are not known.
Answer:
B
Step-by-step explanation:
I know because I know that how
The correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
To determine if the data supports the use of a normal model to approximate population characteristics, we need to examine the relative frequencies and see if they exhibit a bell-shaped or normal distribution.
Looking at the table, we see that the relative frequencies are not symmetrical and do not follow the empirical rule for normal models.
The largest relative frequency is in the interval from -0.28 to -0.25, and the frequencies decrease as we move away from this interval. Additionally, there are negative values in the data, which is not a characteristic of normal models.
Therefore, the correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
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Read the excerpt from Heart of a Samurai.
Each of them was also given a metal stick, with four prongs on one end.
“Fork,” the sailor said – and showed them they should use it to eat the rice.
The fishermen recited their prayer before eating. “Itadakimasu – I will humbly receive.”
Then Goemon said, “It might be poison.”
What can readers infer based on details in the excerpt?
A. Goemon likes new experiences.
B. Goemon is not afraid of his rescuers.
C. Goemon does not trust his rescuers.
D. Goemon has used a fork before.
Answer:
c. goemon does not trust his rescuers.
Step-by-step explanation:
goemon said it might be poison.
he was cautious about eating the food.
Can some one plz help fast F=-m+B/q^3
whaaaa
aeeeee
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sorreee
solve: logx 64 = 3. Which is an equivalent equation?
By applying the definition of logarithm, you have
\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64
So, if you consider the cubic root of both sides, you have
x = \sqrt[3]{64} = 4x=364=4
Answer:
x
=
4
,
−
2
+
2
i
√
3
,
−
2
−
2
i
√
3
Step-by-step explanation:
Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12 pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecil’s weight in terms of Dylan’s weight (d)?
Part A
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression to represent Alan’s weight in terms of Dylan’s weight.
Part B
Bruce weighs 12 pounds less than three times what Dylan weighs. Write an expression for Bruce's weight in terms of Dylan's weight
Part C
Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression for Cecil's weight in terms of Dylan’s weight.
Part D
Assume that Dylan weighs 45 pounds. Use the expression from part C to calculate Cecil’s weight.
Part E
Recall the linear expression for Cecil’s weight in part D. Before plugging values into it, could you have simplified the expression? If yes, explain how.
Part F
Simplify the expression (2d + 3) + (3d − 12).
Part G
Dylan weighs 45 pounds. Use the simplified expression you found in Part F to recalculate Cecil’s weight. Show your work.
Part H
Did you get the same answer for Cecil’s weight in parts D and G? What can you conclude about the expressions you developed in parts D and G?
Part I
Let's try something a bit different. The four brothers know that Bruce weighs more than Alan. Write an expression to represent how much more Bruce weighs than Alan. Write the in terms of Dylan’s weight, d.
Part J
Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.
Part K
Now simplify the expression (3d − 12) − (2d + 3) you wrote in part I.
art L
Dylan weighs 45 pounds. Use the simplified expression you found in part K to recalculate how much more Bruce weighs than Alan. Did you get the same answer as in part J? If not, be sure to check your work, particularly the positive and negative signs.
PLEASE HELP I WILL DO YOUR WORK IF YOU DO THIS FOR ME PLZZZZZZZZZZZZZZZ
Answer:
PART A- 3+D POUNDS
PARTB- 3D-12
Step-by-step explanation:
dylan-d pounds
alan-3+d pounds
bruce-3d-12
Answer:
Alan = A
Bruce = B
Cecil = C
Dylan = D
Part A A = 2 x D + 3
Part B B= 3 x D - 12
Part C C= A+B A = 2 x D + 3 B= 3 x D - 12
Part D Cecil weighs 216 pounds
Part E Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.
Part F 5d-9
Part G Cecil’s weight in terms of Dylan’s weight is 5d – 9. Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:
(5 × 45) − 9 = 225 − 9 = 216.
If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.
Part H Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.
Part I Bruce's weight in terms of Dylan’s weight is 3d − 12. Alan's weight in terms of Dylan’s weight is 2d + 3.
So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.
Part J The expression is (3d − 12) − (2d + 3). Evaluate the expression by substituting Dylan’s weight (d = 45) into it: (3 × 45 − 12) − (2 × 45 + 3) = (135 − 12) − (90 + 3) = (123) − (93) = 30.
Bruce weighs 30 pounds more than Alan weighs.
Part K (3d − 12) − (2d + 3).
First remove the parentheses:
3d − 12 − 2d − 3.
Then group the like terms:
3d − 2d − 12 − 3.
Finally, subtract the like terms:
d − 15.
The expression (3d − 12) − (2d + 3) simplifies to d − 15.
Part L The expression is d − 15. Evaluate the expression by substituting Dylan’s weight (d = 45) into it: 45 − 15 = 30.
Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.
Step by step explanation:
So you basically want to focus on Alan and Bruce they will help you get the rest of your answers
Note:
Some of these are direct answers from Edmentum
At David's Swimwear, 50% of the 36 swimsuit styles are bikinis. How many bikini styles are there?
9514 1404 393
Answer:
18
Step-by-step explanation:
50% × 36 = 0.50 × 36 = 18
There are 18 bikini styles at David's Swimwear.
Answer:
18 bikini styles.
Step-by-step explanation:
Divide 36 by 2.
36. Write the triangle congruence criterion illustrated
by each pair of triangles.
Answer:
A - ASA
B - ASA
C - SAS
D - SSS
Step-by-step explanation:
I hope this helps you out!
6∛I=
9∴ =
2² - y3=
Answer fast pls
Answer:
the last one is 4−y^3
the others i dont know sorry :(
PLEASE HELP! I WOULD TRULY APPRECIATE IT :(
When trying to find solutions to the system of equations
x+y=3
2x+2y = 6
you take several correct steps that lead to the expression 0=0.
Which statement is true?
A x=0 and y=0
B
The system has no solution.
The system has one solution, but we don't know what it is.
D
The system has infinitely many solutions.
Answer:
D
Step-by-step explanation:
Let me know if I was right :( don't be mean pls
Solve the system of linear equations by substitution. 4x−2y=14 y=12x−1
Answer:
Step-by-step explanation:
16
2(2x + 4) - (5x - 3)
Answer:
-x + 11
Step-by-step explanation:
Distribute 2 into 2x + 4 to get 4x + 8, convert the negative sign for the second pair of parentheses to get - 5x + 3. Combine the two like terms together to get the final answer which is -x + 11.
How to solve and the answer
Answer:
x = 10; y = 10
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan( {theta} ) = \frac{opposite}{adjacent} [/tex]
theta = 45°
opposite = x
hypotenuse = 10√2
adjacent = y
1) find x using sin formula[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(45) = \frac{x}{10 \sqrt{2} } [/tex]
[tex] \sin(45) \times 10 \sqrt{2} = x[/tex]
[tex]10 = x[/tex]
[tex]x = 10[/tex]
2) find y using cos formula[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(45) = \frac{y}{10 \sqrt{2} } [/tex]
[tex] \cos(45) \times 10 \sqrt{2} = y[/tex]
[tex]10 = y[/tex]
[tex]y = 10[/tex]
There's so many numbers in this one shape I'm confused ._.
Answer:
12 [tex]units^{2}[/tex]
Step-by-step explanation:
All you have to do is do each shape then add them all up
small triangle:
a = b * h/2
a = 2 * 2/2
a = 4/2
a = 2
The area for the small triangle is 2
Sqaure:
a = b*h
a = 2*2
a = 4
The area for the sqaure is 4
Large triangle:
a = b*h/2
a = 6*2/2
a = 12/2
a = 6
The area for the larger square is 6
Now we add up all of the areas
2 + 4 + 6 = 12
The area for that shape is 12 [tex]units^{2}[/tex]
Hint: We divide by 2 for the triangles bc it's half a shape not a full rectangle of square...
Hope this helped!
What name best describes this shape?
quadrilateral
rhombus
square
trapezoid
Submit
What shape lol? Gotta snag those points ;)
Select the reason why these triangles are
similar. If they are not, select "Not similar".
Α. ΑΑ
B. SAS
C. SSS
D. Not similar
Answer:
not similar
Step-by-step explanation:
similar means proportional
1, 1, and 0.5 are not proportional to 3.5, 3, and 2.25
As the two side lengths of the smaller triangle is the same but the ratio of those side in a larger triangle and the smaller triangle is different they are, D. Not similar.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know two triangles are similar if the ratios of their corresponding sides are equal.
The larger triangle has sides 3, 3.5, and 2.25.
And the smaller triangle has sides 1, 1, 0.5.
As the smaller triangle has side lengths 1, 1, and the ratio of the sides of the larger triangle and the smaller triangle is (2 + 1)/1 and (2.5 + 1)/1 which is equal to 3/1 and 3.5/1 3 and 3.5 but the smaller side has 1 and 1, therefore, they are not similar.
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