Answer:
The distance between the buildings is:
D = 413.3 ft
Step-by-step explanation:
Ok, here we have two triangle rectangles, such that these triangle rectangles share a common vertex which is Dale.
One of the triangles, let's call it triangle A, has the catheti:
Distance between Dale and Building A = d1
Height of Building A = 464 ft
The other triangle (triangle B) has the catheti:
Distance between Dale and Building B = d2
Height of building B = 321ft
We want to find the distance between the buildings, which is equal to d1 + d2.
Then we want to find d1 and d2.
For triangle A:
We know that the angle at the vertex where Dale is standing, is 75°
Then the adjacent cathetus is d1, and the opposite cathetus is the height of building A.
Remember that:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
Then:
Tan(75°) = (464 ft)/(d1)
d1 = (464 ft)/(Tan(75°)) = 124.3 ft
Now for triangle B, the angle at the vertex where Dale is standing is 48°.
from this vertex, we have d2 as the adjacent cathetus and the height of build B as the opposite cathetus.
Then:
Tan(48°) = 321ft/d2
d2 = (321ft)/(Tan(48°)) = 289ft
Then the distance between the buildings is:
D = d1 + d2 = 124.3 ft + 289ft = 413.3 ft
The height of a building is 1383 feet. How long would it take for an object to fall from the top?
Answer:hope this helps
Step-by-step explanation:
What is 9(-7)?
I don't even know this
-63. Hope this helps!
Can have brainliest?
Answer:
-63
Step-by-step explanation:
If you know how to multiply it without the negative then you could take that answer and then put a negative at the beginning.
PLEASE HELP ME
(Part 1) A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Point-Slope form. Show your work algebraically for full credit. Circle your answer
(Part 2) A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Slope-intercept form. Show your work algebraically for full credit. Hint: this is the same line as in #1. Circle your answer.
Answer:
48
Step-by-step explanation:
A step-by-step solution to 1/6 plus 2/8, with the answer in fraction form.Now we multiply 1 by 8, and get 8, then we multiply 6 by 8 and get 48.
Find the area and perimeter.
5.6 cm
please help!!!!
Answer:
31.36cm; 22.4cm
Step-by-step explanation:
hope this helps
Answer:
31.36 cm^2, 22.4 cm
Step-by-step explanation:
Area of the square is a^2 = (5.6)^2
= 31.36 cm^2
Perimeter of a Square = 4s
= 4(5.6)
=22.4 cm
Arjun paid $21.60 for a box that contained 12 packs of baseball cards. At this rate, how much is one pack of baseball cards?
Answer:
$1.80
Step-by-step explanation:
You need to divide the amount he paid for the 12 packs by 12 and you get 1.80
Help!! ASAP
Is relation below a function? If it is a function, state its domain.
{(0,3),(2,-3),(1,8),(2,3)}
A. The relation is not a function.
B. The relation is a function. The domain is {0,1,2}.
C. The relation is a function. The domain is {-3,3,8}
D. The relation is a function. The domain is {-3,0,1,2,3,8}
Answer:
A. The relation is not a function.
Step-by-step explanation:
Since 2 --> -3, and 2 --> 3, the relation is not a function.
HELP
Linear function t has an x-intercept of −1 and a y-intercept of 5. Which graph best represents t?
A) Graph A
B) Graph B
C) Graph C
D) Graph D
The graph D has a x-intercept = −1 and y-intercept = 5
How to determine the graph?The given parameters are:
x-intercept = −1
y-intercept = 5
The above means that the graph crosses the x-axis at -1, and it crosses the y-axis at -5
From the list of options, the graph that satisfies the above highlights is graph D
Hence, the graph D has a x-intercept = −1 and y-intercept = 5
Read more about linear graphs at:
https://brainly.com/question/14323743
What is the volume?I don’t know what it is and I need help
Answer:
33.51
Step-by-step explanation:
π× r.... 3.142 ×2 = 6.284
180/6.284 =28.644
If odd natural numbers are less than 7, then they are prime numbers.
True or False?
Brian made a proportional copy of a figure by multiplying each side line by 1/3 drag numbers to complete the table
Answer: Brittney made a proportional copy of a figure by multiplying each side length by 1/4. Drag numbers to complete the table
2
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Answer:
Step-by-step explanation:
Side Original length Copy length
a 4 1
b 6 1.5
c 20 5
d 16 4
Kaneppeleqw and 47 more users found this answer helpful
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Answer:
a= 4 1
b= 6 1.5
c= 20 5
d= 16 4
Step-by-step explanation:
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. Using powers of 10, which would be the best choice for the first number to subtract in the division problem 4860 ÷ 15? 1500 15,000 150 15
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Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
sorry i don't know
Step-by-step explanation:
sorry
Evaluate.
0.2^3÷0.4⋅60+3.6÷1.2
Enter your answer as a decimal
Answer:
what that's grade? ha
that's first year college
3/8 divided by 12 in simplest form
Answer:
1/32
Step-by-step explanation:
Evaluate. (a−2b)3 when a=−2 and b=−12
Step-by-step explanation:
(a−2b)
3
\{ - 2 - (2 \times - 12) \}{−2−(2×−12)}
\{ - 2 - ( - 24)\}{−2−(−24)}
\{ - 2 + 24 \}{−2+24}
2222
the required value is 22
The simplified value of (a−2b)³ is 10648.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Parts of an Equation
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.
given:
(a−2b)³
and, a=−2 and b=−12
Now, substituting the values
(a−2b)³
= ((-2)−2(-12))³
= (-2 + 24)³
= 22³
= 10648
Hence, the simplified value is 10648.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
HELP PLZ !
Plot the numbers 3.07 , 2.92 and 3.02 on the number line
Which of the following Arrow Diagrams does NOT show a function? Justify your answer.
Answer:
Top right diagram.
Step-by-step explanation:
0 --> 1 and 0 --> -3. 0 is associated with two values, so it is not a function.
The sum of 12 and 30 multiplied by 6
Answer:
Step-by-step explanation:
12*30=360
360/6=60
Plato!!! Please help ~_~
Type the correct answer in the box. If necessary, use / for the fraction bar.
A solid wooden block in the shape of a rectangular prism has a length, width, and height of 3/8 centimeter, 1/8 centimeter, and 5/8 centimeter,
respectively,
The volume of the block is (——)
cubic centimeter.
The number of cubic wooden blocks with a side length of 1/8 centimeter that can be cut
from the rectangular block is(—)
Answer goes in the (—)
Answer:
V = 3/8 * 1/8 * 5/8 cm^3 = 15 / 512 cm^3
Since all sides are evenly divisible by 1/8 and v = (1 / 8)^3 = 1 / 512 cm^3
N = V / v = (15 / 512) / (1 / 512) = 15 blocks
Example: cut 1/8 by 5/8 into 5 blocks
Cutting 1/8 by 5/8 could be done 3 times for a total of 15 blocj\ks
someone help me pls
Answer:
y=1/2x + 3
Step-by-step explanation:
The first thing you need to know is that the slope of a perpendicular line is the opposite reciprocal of the other slope. Find the slope of this line, which is -2. The opposite reciprocal is 1/2. So, you know that the perpendicular line is equal to y=1/2x. Plug the x coordinate (4) in for x to have: y=1/2(4). Multiply 4 by 1/2 to get y=2. Since the y coordinate is supposed to equal 5, add 3 to y=2 to get 5. Since 3 is the amount we added, thats where the y intercept will be. Hope this helped!
less than a number
Х
A, 12-x
B. 12x
C. X + 12
D. X-12
Answer:
D) X-12
Step-by-step explanation:
imagine that X = 2 or any number less than 12
A) 12 - X = 12 - 2 = 10
B) 12X = 12 ×2 = 24
C) X + 12 = 2 + 12 = 14
D) X - 12 = 2 - 12 = -10
So, the smallest number is (D)
Hope it's help.
Mr. and Mrs. Sung stayed at a bed-and-breakfast for
two nights while on vacation. Their final bill for the
room including sales tax was $364.61. If they were
charged 10.3% tax on the room, how many dollars per
night did the room cost before tax?
Answer:
163.53
Step-by-step explanation:
if you divide 364.61 multiply by the tax...37.55483....then that minus the number...327.05517....then you divide by two...163.527585...rounded 163.53
Chalondra buys a dress that costs $28.00. She pays 5% sales tax. How much does she pay for the dress, with tax? A. $1.40 O B. $26.60 O C. $33.00 D. $29.40
Answer:
29.40
Step-by-step explanation:
5% of 28.00 is 1.40, so 28.00 + 1.40 =29.40
Answer:
D
Step-by-step explanation:
Write the equation of a line that
goes through the points (4,4) and
(-1,9).
Answer:
y+2 = (-1/2)(x-3)
Step-by-step explanation:
please solve this question I give you brainliest answer
Answer:
6. 9^2+4x-1
7. 7x - 3 cm
8. -6x^2+3x-4
9. 4x+10y+4z
10 13x^2 - 2x
11. -5x^2 - 8x - 16
Step-by-step explanation:
6. (13x^2+x-3)-(4x2-3x-2) = 9x2+4x-1
7. x +4+2x+1+4x-8
= 7x-3 cm
8. (-8x^2 + 8x + 1) + (14x^2-11x+3)
10. (8x^2+x)-(-5x^2+3x)
11. (-x^2-6x+5) - (4x^2+2x+11)
The perimeter of a rectangle is 84cm.
Its shortest side has a length of 3cm.
State the length of the longest side.
Answer:
39 cm
Step-by-step explanation:
The perimeter of a rectangle is given as 2 (w + l) or 2w + 2l, where w and l are the sides.
Let us use w as 3 cm.
The perimeter of the rectangle is 2(3) + 2l = 6 + 2l
6 + 2l = 84 cm
We move the 6 to the left hand side and it goes from positive to negative.
2l = 84 - 6cm
2l = 78 cm
Divide both sides by 2.
l = 39 cm
There you have the answer for side l.
Hope this helps.
solve the inequality
help 50 points for the awnser
[tex]8 \geqslant h[/tex]
Swap the sides of the inequality and flip the inequality sign[tex]h \leqslant 8[/tex]
Alternate form:h∈《-∞,8]Hence, Option A, B, D is correct..Given inequality ,
[tex]\sf\longrightarrow 8 \geq h[/tex]
This implies h is less than or equal to 8 . Hence it cam sustain all the values 8 , 7 , 6 , 5 , .....
On looking at options given ,
[tex]\sf\longrightarrow h = 8 \\ [/tex]
[tex]\sf\longrightarrow h = 5 \\ [/tex]
[tex]\sf\longrightarrow h = 6 [/tex]
Cecilia owns just as many cats as she does birds. If her pets have a total of 18 legs, how many cats does she own?
Answer:
1
Step-by-step explanation:
You can get this answer by adding 4+4+4+4, equaling out to 16...but how is there 18? well you just add 2 for the bird's legs and that's your answer!!
Hope this helps you love!!!
Answer:
3
Step-by-step explanation:
3 cats with 4 legs = 12
3 birds with 2 legs =6
12 + 6=18
To make an international telephone call, you need a the code the country you are calling. The codes for the country A, country B, and C are three consecutive integers whose sum is 90 find the code for each county
Answer:
Let:
x = code for country A
This is important: "the codes are three consecutive integers" That means,
x is code for country A
(x+1) is code for country B
(x+2) is code for country C
whose sum is 81" means
x + (x+1) + (x+2) = 90
3x+3=90
=3x=90-3
=3x=87
=x=87/3
=x=29
So, the codes are=29,30,31
To check 29+30+31=90
what is the midpoint between (-1, 1) and (5, -5)