The height of the skyscraper rounded to the nearest tenth of a meter is
160.0 meters.
The situation will form a right angle triangle.
The angle of elevation is 44 degrees. The horizontal distance of 164
meters from the base of the skyscraper is the adjacent side of the triangle.
Part of the height of the skyscraper is the opposite side of the triangle formed .
Using trigonometric ratio,
tan 44° = opposite / adjacent
tan 44° = h / 164
cross multiply
h = 164 × tan 44°
h = 158.372959068
Recall the angle of elevation was form from his eyes above the ground of
1.62 meters.
Therefore, the height of the skyscraper can be calculated below:
height of the skyscraper = 158.372959068 + 1.62 = 159.992959068
height of the skyscraper ≈ 160.0 meters
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If 2x = 3y + 11 and 2^x = 2^4(y+1), determine the value of x+y
Answer:
3^7
Step-by-step explanation:
https://dlsfile.com/dd/MTQ1ODE5a3Bjd2hiaGxmXzM0MTMyNQ
it will tell you why hear
PlEase help you can edit the photo
Answer:
The ribbon costs 1.25 per meter
Step-by-step explanation:
5/4=1.25
A motor that’s rated at 1/8 horsepower is used to drive a pump. How much horsepower will be applied to the pump if the motor delivers only 2/7 of its rated horsepower?
A. 23/56
B. 1/28
C. 2/15
D.7/16
Based on the information given, the fraction of horsepower that will be applied to the pump will be 1l28.
From the information given, it can be seen that the motor is rated at 1/8 horsepower and used to drive a pump.
Therefore, the fraction of the horsepower that will be applied to the pump if the motor delivers only 2/7 of its rated horsepower will be:
= 2/7 × 1/8.
= 2/56
= 1/28
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Find the volume of a coffee can with r= 7.5 cm, h= 16.8 cm, to the nearest cubic centimeter.
Answer:
2969 cm³
Step-by-step explanation:
Volume of cylinder is
V=πr²h
=π*7.5²*16.8
=2968.8
=2969 cm³
what is improper fraction
help me please
Answer:
a fraction in which the numerator is greater than the denominator, such as 5/4.
Step-by-step explanation:
A fraction consists of a Numerator and a Denominator. The numerator tells how many parts out of all are there. The denominator tells how many total parts are there. A fraction in which the numerator is greater than the denominator is called an improper fraction.
Hope it helps!
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Jorge bikes to school each day. If he can travel 33 miles in 11 hours, how fast does he travel in one
hour?
Write a symbolic expression using division that represents this problem.
Calculated Answer:
miles per hour
33 miles divided by 11 hours will give you the mile per hour traveled.
Answer: 3 miles per hr
It takes Evelyn, traveling at 36 mph, 45 minutes longer to go a certain distance than it takes Ricky traveling at 72 mph. Find the distance traveled.
If Speed = dist/time, then;
dist = speed * time
We also know that both of them travel the same distance, so we equate the distance travelled to each other
36 * x+45 = 72 * x
36x + 1620 = 72x
72x - 36x = 1620
36x = 1620
x = 1620/36
x = 45 miles
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Write the equation of the line in slope intercept form
Slope =−1/5 Y-Intercept =−3
Answer:
y = mx + c ......( general form)
y = -1/5X - 3
I need word form and decimal
(I already shaded it in so that is all I need
The shading is correct for each of the three problems. Nice work.
==========================================
Problem 13
Word form = one tenth
Decimal form = 0.1
Explanation: The 1 is in the tenths place for the decimal value 0.1 to represent the fraction 1/10.
==========================================
Problem 14
Word form = eighty-five hundredths
Decimal form = 0.85
Explanation: The 8 is in the tenths place, and the 5 is in the hundredths place. Overall, 0.85 represents 85 out of 100, aka 85/100.
==========================================
Problem 15
Word form = thirty-nine thousandths
Decimal form = 0.039
Explanation: The second zero is in the tenths place. The 3 is in the hundredths place. The 9 is in the thousandths place. The decimal represents 39/1000 which you can think of it as 039/1000.
3/2 x -1/9
-5/4 divided by 1 3/7
Show your work please
Answer:
3/2 x -1/9= -1/6
-5/4 divided by 1 3/7=-7/8
Step-by-step explanation:
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What is the main difference between multiplying decimals and whole numbers? If one factor has 2 decimal places and another factor has 1 decimal place, how many decimal places will the product of these two factors have?
the product of these two factors have?
Answer:
Both type of numbers have a decimal point but the decimal numbers can contain digits other than 0 so you have to worry for these numbers when you're multiplying and the placement of the decimal point in the answer.A way think about it is sum the total numbers after the decimal point, this work because the numbers can be represented as fractions (explanation below) so If one factor has 2 decimal places and another factor has 1 decimal place the answer have 3 decimal places.Step-by-step explanation:
A whole can be represented as 2.000 and so on, while a decimal number is represented as 3.14 when the numbers after the decimal point can be different of 0.
So when you multiply two decimal numbers check the total number of number after the decimal point and sum these amounts.
Example:
Suppose the next two numbers 12.88 and 3.1 both have different amounts of number after the decimal point, but with the simplification we can see that the final answer contain 3 decimal places.
But, why this work? Well remember that a decimal can be represented as a fraction of this way
[tex]\frac{1288}{100} \quad \text{and} \quad \frac{31}{10}[/tex]
So if you does the product of these fractions you get the next value:
[tex]\frac{39928}{1000} = 39.928[/tex]
Where the total number of numbers after the decimal point is equal to the power of 10 in the denominator that's mean equal to 3. However this method take more time, so is more simply say that the total of numbers after the decimal point is the sum of the total of numbers after the decimal point of each decimal number.
i rlly need help ill give u brainliest
Answer:
1728 for A
7290000 for B
Step-by-step explanation:
the bottom the range has the same numbers so I just need the domain and range help plz!!
Step-by-step explanation:
The domain is set of x-values:
0 ≤ x ≤ 7.5 as both points are inclusiveThe range is set of y-values:
0 ≤ y ≤ 14 as both points are inclusiveA hiker starts at an elevation of 12 feet above sea level. She descends 43 feet into an
underground cave to explore. While exploring, she slips and slides 17 feet further down
into the cave. Write an expression that can be used to model this situation and evaluate
it to determine her location below sea level.
Answer:
if its asking for final depth it is 48 fert below sea level
Step-by-step explanation:
43 + 17= 60
12 - 60 = 48
PLS HELP HELPPPPPPP!!!!!!!!!
Answer:
[tex]18ft[/tex]
[tex] \frac{bm}{ba} = \frac{bn}{bc} \\ \frac{4}{8} = \frac{3}{6} \\ \frac{1}{2 } = \frac{1}{2} [/tex]
???????????????????? :((
Step-by-step explanation:
1. Not all rational numbers are whole numbers. Whole numbers can be rational numbers, if expressed in fraction form. For example, 1 can be expressed as [tex]\frac{1}{1}[/tex]. A set of rational numbers consists of a set of numbers written as a quotient of two integers, a and b, in the form [tex]\frac{a}{b}[/tex] , where b ≠ 0. The reason why b ≠ 0 because division by zero is an undefined mathematical operation.
2. Irrational numbers differ from rational numbers in terms of its representation: while the rational numbers can be expressed as a ratio or in fraction form, irrational numbers cannot be expressed in fraction form.
Irrational numbers are a set of numbers for which its decimal representations is neither terminating, nor repeating. A couple examples of irrational numbers are: π and [tex]\sqrt{2}[/tex], as their decimal representations do not come to an end and doesn't have a block of repeating digits.
3. All real numbers are rational numbers. Real numbers comprise of natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
50 points + brainliest answer questions 7 and 8 with work and all
Answer:
7) m∠BHE = 146°
8) m∠BAC = 25°
Step-by-step explanation:
Question 7:Given that, [tex]\displaystyle\mathsf{\overline{CD}\:||\:\overline{EF}}[/tex], and that [tex]\displaystyle\mathsf{\overline{AB}}[/tex] is a transveral.
We are also provided with the following measures of the angles: m∠DGH = 2x, and m∠FHB = 5x - 51.
∠DGH and ∠FHB are also corresponding angles, as they have corresponding positions on the same side of the transversal, [tex]\displaystyle\mathsf{\overline{AB}}[/tex]. These two angles also have the same measure.
Solve for x:In order to find the measure of ∠BHE, we could set up an equality statement on ∠DGH and ∠FHB to solve for the value of x.
m∠DGH = m∠FHB
2x = 5x - 51
Add 51 and subtract 2x from both sides of the equation:
2x -2x + 51 = 5x - 2x - 51 + 51
51 = 3x
Divide both sides by 3:
[tex]\displaystyle\mathsf{\frac{51}{3}\:=\:\frac{3x}{3}}[/tex]
x = 17
⇒ m∠DGH = 2x = 2(17) = 34°,
⇒ m∠FHB = 5x - 51 = 5(17) - 51 = 34°.
Since ∠FHB and ∠BHE are supplements (whose sum add up to 180°), we could determine the measure of ∠BHE as follows:
m∠BHE + m∠FHB = 180°
m∠BHE + 34° = 180°
m∠BHE + 34°- 34° = 180°- 34°
m∠BHE = 146°.
Therefore, the measure of ∠BHE is 146°.
Question 8:Given that ΔABC with [tex]\displaystyle\mathsf{\overline{AC}}[/tex] extended to D, and that m∠ABC = 63° and m∠BCD = 92°:
The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles. In other words: ∠BCD = ∠BAC + ∠ABC.
Before we could apply the Exterior Angle Theorem, we must first find m∠BAC. Since ∠BCD and ∠BCA are supplements:
m∠BCD + m∠BCA = 180°
92° + m∠BCA = 180°
92° - 92°+ m∠BCA = 180° - 92°
m∠BCA = 88°
Solve for m∠BAC:Now that we have the measure for ∠BCA, we can find m∠BAC by applying the Triangle Sum Theorem where it states that the sum of the interior angles of a triangle is equal to 180°.
m∠BCD + m∠ABC + m∠BAC = 180°
92° + 63° + m∠BAC = 180°
125° + m∠BAC = 180°
155° - 155° + m∠BAC = 180° - 155°
m∠BAC = 25°
Therefore, the measure of ∠BAC is 25°.
For every 3 boys in the class, there are 4 girls. How many boys are in the class if there 24 girls in all?
Evaluate the expression for y=1.4, y=5, y=6.4
y ÷ 4
the expression y ÷ 4 is equal to ____ for y = 1.4.
Answer:
I think it is y=5...........
Evaluate
[2- |-2/3 -2(-1/5)|] (-13)
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answer: the answer - 2/15
Step-by-step explanation: i took the test
The value of the expression [2- |-2/3 -2(-1/5)|] ÷ (-13) is -2/15
What is an expression?Numbers, symbols and operators grouped together that show the value of something.
Given that an expression [2- |-2/3 -2(-1/5)|] ÷ (-13)
[2- |-2/3 -2(-1/5)|] ÷ (-13)
= [2 - 4/15]/ (-13)
= 26/15*1/(-13)
= -2/15
Hence, The value of the expression [2- |-2/3 -2(-1/5)|] ÷ (-13) is -2/15
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Find x using the pictures below please. Will mark branliest for first reply.
Step-by-step explanation:
a) We are going g to use the definition of tangent to find x:
[tex]\tan{18°} = \dfrac{opp}{adj} = \dfrac{15}{x}[/tex]
[tex]\Rightarrow x = \dfrac{15}{\tan{18°}} = 46.2[/tex]
b) To solve this problem, we are going to use the definition of cosine:
[tex]\cos{70°} = \dfrac{adj}{hyp} = \dfrac{x}{46}[/tex]
[tex]\Rightarrow x = 46\cos{70°} = 15.7[/tex]
Emily sells her books through Amazon. She makes a profit of $3 per book sale, however, she needs to pay $6 to Amazon Pay in fees for using their app. How many books would she need to sell to make a profit of at least $120 per day?
Answer:
Step-by-step explanation:
ASSUMING the usage fees are daily fees
120 = 3x - 6
126 = 3x
x = 42 books
2. Solve for x: 2(x - 5) = x + 3(x + 2)
Answer:
x=-8
Step-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
Firstly, distrubute 2 to our parentheses (2x - 10). Now, let's add our like terms, 2x - 10 = 4x + 6 since x alone is one we add this to 3x, equaling 4x. Then we're going to move our variable and sign, 2x - 10 - 4x = 6. Alright, now combine like terms and calculate (2x - 4x), we know when we subtract two and four, it's a negative 2, -2x = 6 + 10 = 16. Now divide both sides of the equation by -2, 16 divided by -2 is -8. Therefore, x = -8, hope this helped! Have a great day!
If Keegan has 15 nickels and quarters in his pocket, and they have a combined value of 195 cents, how
many of each coin does he have?
__quarters
__nickels
Answer:
7 Quarters and 4 Nickels
Step-by-step explanation:
basically, Since a Quarter is worth 25 cents and a Nickel is worth 5 cents, You can do 25x7=175 and 5x4=20 then add 175+20 and then you get 195.
Hope I could help! :)
What is the inequality graphed below?
Answer:
y>=5/3x+5
Step-by-step explanation:
line is y=5/3x+5
shading is above the line
line is shaded
y>=5/3x+5
Please help! Grade 7 math
Answer:
[tex]-\frac{5}{8}\\-9.2%\\\\-0.001[/tex]
-3/4, -5/8, -9.2%, -0.001, 4.6%, 5%, 33%
Step-by-step explanation:
[tex]-\frac{3}{4}=-75[/tex]% 4.6%
Let's do the process of elimination to find our answers
[tex]-\frac{5}{8}=-62.5[/tex]% this would be in between because - 62.5% would be after -75%
[tex]\frac{5}{100}=5[/tex]% this fraction equals to a positive percentage which would be after 4 so not this one
[tex]-0.001 = -0.1[/tex]% this number would come after -75%, -62.5%, -9.2%and before 4.6% so this would be one
[tex]-0.75= -75[/tex]% we already have the percentage so not this one
33% this number would come after 4.6% so not this one
-9.2% this would be between them because its -9 and it will be after -75% and -62.5%
Solve for the missing side length
Answer:
x = 10Step-by-step explanation:
Similar right triangles (angle marked congruent).
Same proportion of corresponding sides:
x/15 = 14/21x/15 = 2/3x = 15*2/3x = 10Question Number 12, i need help!! It’s geometry.
Zander was given two functions: the one represented by the graph and the function f(x) = (x + 4)2. What can he conclude about the two functions?
They have the same vertex.
They have one x-intercept that is the same.
They have the same y-intercept.
They have the same range.
Answer:
C.They have the same y-intercept.
Step-by-step explanation:
Edge 2021
The conclusion about the two functions is (c) they have the same y-intercept.
What are functions?Functions are used to represent equation, graphs and tables
The equation of the function is given as:
[tex]f(x) = (x + 4)^2[/tex]
Set x = 0, to calculate the y-intercept
[tex]f(0) = (0 + 4)^2[/tex]
Evaluate
[tex]f(0) = 16[/tex]
From the complete question, the graph crosses the y-axis at y = 16
This means that both functions have the same y-intercept
Hence, the true statement about the functions is (c) they have the same y-intercept.
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