Answer:
11.28m
Step-by-step explanation:
The computation of the height of the spire is shown below:
let us assume the height of the spire be x
Now
For triangle ABD
Tan 43 degrees = h ÷ x
x = h × cot 43 degrees
= 1.07236 h
For triangle ABC
tan 15 degrees = h ÷ (30 + x)
0.2679 = h ÷ 30 + 1.07236h
8.038 + 0.28728 h = h
h = 11.28m
Simplify. Write your answer in standard form.
(4x^3+6x−7)+(3x^3−5x^2−5x+9)
answer: 7x^ - 5x^2 + x + 2
step-by-step explanation: i think thats it
Anacondas are snakes found in South America. Anacondas can measure over 1612 feet in length. How many inches are in 1612 feet?
Answer:
165 inches
Step-by-step explanation:
A boy has 11 coins in dimes and quarters. Their value is $170. How many of each does he have? (Hint: Let x be the number of quarters and 11 - x be the number of dimes.)
Answer:
x - number of dimes, y - number of quarters
x + y = 11
0.10 x + 0.25 y = 1.70
0.10 x + 0.25 ( 11 - x ) = 1.70
We can solve it:
0.10 x + 2.75 x - 0.25 x = 1.70
0.15 x = 1.05
x = 1.05 : 0.15
x = 7 ( a boy has 7 dimes and 4 quarters )
Answer: D ) 0.10 x + 0.25 ( 11 - x ) = 1.70
Step-by-step explanation:
Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs in simplest form.
Answer:
The area of the triangle is 18 square units.
Step-by-step explanation:
First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:
AB
[tex]AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}[/tex]
[tex]AB \approx 7.616[/tex]
BC
[tex]BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}[/tex]
[tex]BC \approx 6.325[/tex]
AC
[tex]AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}[/tex]
[tex]AC \approx 5.831[/tex]
Now we determine the area of the triangle by Heron's formula:
[tex]A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}[/tex] (1)
[tex]s = \frac{AB+BC + AC}{2}[/tex] (2)
Where:
[tex]A[/tex] - Area of the triangle.
[tex]s[/tex] - Semiparameter.
If we know that [tex]AB \approx 7.616[/tex], [tex]BC \approx 6.325[/tex] and [tex]AC \approx 5.831[/tex], then the area of the triangle is:
[tex]s \approx 9.886[/tex]
[tex]A = 18[/tex]
The area of the triangle is 18 square units.
Find the volume of the cylinder.
Either enter an exact answer in terms of " or use 3.14 for T.
2
units3
Answer:
56.52
Step-by-step explanation:
pi×r²h
=3.14×3²2
=3.14×9×2
=3.14×18
= 56.52³
WORTH 100 POINTS NEED DONE ASAP WRONG ANSWERS WILL BE REPORTED THANK YOUUU
Answer:
3.
1.x=√(15²-12²)=√81=9
2.x=√(6²+6²)=6√2
3.c=√(√19²-√7²)=√(19-7)=√12
Step-by-step explanation:
4.h=10
a=b=x
we have
by using Pythagoras law
h²=x²+x²
100=2x²
x²=50
x=√50=5√2
both legs =5√2
Solve the following equation.
PLEASE HELP ASAP NO ROCKY THE EQUATION IS ON THE PICTURE !!!
HELP DUE IN 7 MINUTES
Answer:
1. 0,5
2. Move 5 units east
3. You need to plot checkpoint B on a graph, then you need to follow the instructions then you end up on 0,5. Which Ultimately is checkpoint C.
Hope this Helps!
the length of one side of the base of a square pyramid is 15 cm. the height of each face is 40 cm. what is the surface area of the pyramid?
Answer:
B. 1,425 square centimeters
Step-by-step explanation:
Area of the square pyramid = b² + 2bs
Where,
b = length of square base = 15 cm
s = slant height of each face = 40 cm
Surface area of the pyramid = 15² + 2(15)(40)
= 225 + 1,200
Surface area = 1,425 cm²
Circumference of a circle is 14 pi what is the area in square inches express your answer in terms of pie
Answer: 49π inches²
Step-by-step explanation:
The formula for the circumference of a circle = 2πr
Since the circumference is 14π, we have to find the radius in order to solve the area.
2πr = 14π
r = 14π/2π
r = 7
Since area = πr²
= π × 7 × 7
= 49π inches²
Jenny wants to buy an MP3 player that costs $30.98. Write an equation so find how much change (x) she receive if she gives the cashier $40. *
Answer:
40.00-30.98=x
Rewrite the expression in the form x^n
Answer:
[tex]x^{-2}[/tex]
Step-by-step explanation:
[tex]\frac{x^{6}}{x^{8}}\\ = x^{6-8} = x^{-2}[/tex]
Write the numerical expression that represents the following: 6 times the sum of 12 and 8
Answer:
12+8*6
Step-by-step explanation:
Are the figures congruent? Explain.
3x + 0 = 3x
Need help
Answer:
x is equal to all real numbers.
Step-by-step explanation:
3x = 3x
No matter what number you substitute for x, 3x will always equal 3x.
1/3x1/6 7 more and I’m done
Answer: 1/18
Step-by-step explanation:
Multiply both Numerators
1x1=1
Multiply both Denominators
3x6=18
1/18
HELP I HAVE 5 MINS :(
Answer:
y intercept is (0,-5)
Step-by-step explanation:
Is at x = 0
Intercepts the y axis
WILL GIVE BRAINLIEST!
A custom-illustrated sign or banner can be commissioned for a cost of $20 for the material and $12.50 per square foot for the artwork. The equation that represents this cost is given by y = 12.50x + 20, where y is the cost and x is the number of square feet in the sign.
Graph this equation for values of x from 0 to 20.
The point (5, 82.5) is on the graph. Select a sentence that describes the meaning of this ordered pair.
A. It costs $5 for a custom sign 82.5 ft2 in area.
B. It costs $12.50 for a custom sign 20 ft2 in area.
C. It costs $20 for a custom sign 12.50 ft2 in area.
D. It costs $82.50 for a custom sign 5 ft2 in area.
E. It costs $270 for a custom sign 20 ft2 in area.
Answer:
D
Step-by-step explanation:
12.50 x 5 = 62.5
62.5 + 20 = 82.5
plsss help i’ll give brainliest if you give a correct answer
Answer:
x = 7
Step-by-step explanation:
15-8=7
simplify
please help me!!!!
Testimated the ceiling was 10 ft tall.
The acutal height of the ceiling was
12 ft tall. What is my percent of error?
−(x − 7)+ 5/3 = 2(x + 9)
(-8,-2);m=3/4 in point slope form
Answer:
y + 2 = ³/₄(x + 8)Step-by-step explanation:
The point-slope form of the equation that describes the line with a slope of m and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)
m = ³/₄
(-8, -2) ⇒ x₀ = -8, y₀ = -2
Therefore:
y - (-2) = ³/₄(x - (-8))
y + 2 = ³/₄(x + 8)
Can someone pls help im new to this
Answer:
5
Step-by-step explanation:
[tex]\frac{-10}{-2} \\\\5[/tex]
Ed wants to bicycle at least 75 miles this week. The inequality 11 + 4b > 75 can be used to find the average number of miles he should bike on his remaining 4 bike rides this week.
Sorry for the inconvenience, but I need this done and I need help. This is the last question of this quiz. Please Help.
Answer: Ed should bike at least more than 16 miles
Step-by-step explanation:
11 + 4b > 75
4b > 64
b > 16
pls help me with #3 I don’t understand
Answer:
h ≈ 235
Step-by-step explanation:
We know there is a tower with h height. There is also a wire (that's diagonal) travelling to the ground. It touches the ground. The angle it makes with the ground is 57°.
Refer to the image below of what the problem should look like.
Refer to the trigonometric ratios:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
We can use sine because we are looking for the opposite side (to the angle) and we have the hypotenuse. So:
sine = opposite side/hypotenuse
sin(57) = h/280
sin(57) / 1 = h / 280
Cross multiply:
sin(57) (280) = 1 (h)
Input to calculator:
h = 234.827759...
h ≈ 235
Richard is frustrated. He knows the line to the right should have a 3 and a 4 in the equation but he can't remember if it is y = 4x + 3 or y = 3x + 4. a. Which equation is correct? How do you know?
Answer:
The correct equation is "y=4x+3"
Step-by-step explanation:
Given equation:
[tex]y= 4x+3 \ \ or \ \ y=3x+4[/tex]
As per the given line formula:
[tex]\to y=mx+c[/tex]
The slope(m) of the line is [tex]\frac{4}{1} = 4[/tex] and y-intercept at 3, that is the point (c). So, the correct equation of the line: [tex]y = 4x + 3[/tex]
Multiply (5x - 2)^2
Answer: that would b 25x^2-20x+4!
Step-by-step explanation:
Answer:
25x^2-20x+4
Step-by-step explanation:
1-x⁴
is it polynomial?
1.Which answer below represents the
line 5y= 15x+ 10 in the form "y= mx +
c" .
1. 5y= 3x + 2
2.y= 3x + 2
3.y= 5x + 2
O4.y= 3x + 5