Answer:
The area of the pyramid is 703.97 ft²
Step-by-step explanation:
The lateral area of a right square pyramid is given as;
[tex]A_l =a \sqrt{a^2 + 4h^2}[/tex]
where;
a is base length
h is the vertical height of the pyramid
The vertical height of the pyramid is calculated as follows;
the vertical height passes through the center of the base.
half of the base = 8 ft
the slant height = hypotenuse side of the right triangle = 22 ft
Thus; h² = 22² - 8²
h² = 420
h = √420
h = 20.493 ft
The area of the pyramid is calculated as;
[tex]A_l =a \sqrt{a^2 + 4h^2}\\\\A_l =16\sqrt{16^2 + 4(20.493)^2} \\\\A_l = 703.97 \ ft^2[/tex]
Therefore, the area of the pyramid is 703.97 ft²
HELP ASAP WILL GIVE LOTS OF POINTS AND YOUR ANSWER MUST BE REAL OR ELSE I WILL NOT GIVE POINTS
The virus the suspect created was initially exposed to 5 people, and it spreads at a rate of 51.2% each week. The weight of the suspect is equal to the number of people who will be infected by week 9. (Round to the nearest whole number.) what is the question used to find the weight
Answer:
I dont know
Step-by-step explanation:
and thats not how it works
If rectangle ABCD is reflected over x=3, does the area of the rectangle change? Explain
Answer:
Nope
Step-by-step explanation:
Rigid transformations don't change the area or perimeter of a shape.
The straight lines y = px + 9, where p is a constant, and y = ½ x – 1 are perpendicular. (a) State the value of p *
Answer:
14587676
Step-by-step explanation:
What is the measure of an angle that is the complement of angle A?
A. 135
B. 5
C. 45
D. None of the above
E. 55
Solve the equation x2 + 4x − 11 = 0 by completing the square. Fill in the values of a and b to complete the solutions.
Answer:
x = - 2 -[tex]\sqrt{15\\[/tex]
x = - 2 + [tex]\sqrt{15[/tex]
Step-by-step explanation:
The given equation needs to be solved by completing the squares.
The required values are -2+√15, -2-√15
Completing the squaresThe given equation is [tex]x^2+4x-11=0[/tex]
The general form of a quadratic equaiton is [tex]ax^2+bx+c=0[/tex]
Comparing with the given equation we have
a = 1
b = 4
c = -11
Rearranging the equation
[tex]x^2+4x=11[/tex]
Finding (b/2)²
[tex](\dfrac{4}{2})^2=4[/tex]
Adding to both sides of the equation
[tex]x^2+4x+4=11+4\\\Rightarrow (x+2)^2=15\\\Rightarrow x+2=\pm\sqrt{15}\\\Rightarrow x=-2+\sqrt{15},-2-\sqrt{15}[/tex]
Learn more about completing the squares:
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Help me with this!!!
Answer:
yes
Step-by-step explanation:
Dave goes into a cafe and buys 2 cups of coffee and a piece of cake.
Each
cup of coffee costs £2.75
The cake costs £2.90
Dave pays with a £10 note.
He thinks he will get more than £1.50 in change.
Is Dave correct?
You must show how you get your answer.
Valerie is considering various savings options. At Bank 1, she can invest $1,000 in a CD that earns compound interest at an annual rate of 2.4%. At Bank 2, she can invest $1,000 in a savings account that pays 2% simple interest upon withdrawal. How much more money would Valerie earn in 5 years with the CD at Bank 1 than with the savings account at Bank 2?
Answer:
100.00
Step-by-step explanation:
What the answer someone help me!!!
Step-by-step explanation:
the answer to your question is
16/9
Answer:
16/9
Step-by-step explanation:
remove the bracket
What is the measure of the missing angle in the triangle below? (Write just the number with NO titles or words)
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
all triangles have a sum of 180 degrees. so 115+35=150
180-150= 30
32 + a > 44; 11, 12, 13
PLEASE HELP
Find the measure of the numbered angles
Answer:
I believe the answers are;
m<1 = 50°
m<2 = 130°
m<3 = 50°
m<4 = 130°
m<5 = 40°
m<6 = 30°
Find the value of X. Please help ASAP!! I have no idea how to do this and I have to have it done soon!!
Answer:
[tex]x=\frac{3}{4}=0.75[/tex]
Step-by-step explanation:
From the shape of the quadrilateral, we can assume that it is a parallelogram. In a parallelogram, opposite sides are congruent and thus have the same length.
In this case, we are given that two opposite sides have lengths of [tex]4x+5[/tex] and [tex]8[/tex]. Therefore, since the quantities must be equal, we can write the following equation to solve for [tex]x[/tex]: [tex]4x+5=8[/tex]. Solving for [tex]x[/tex], we get:
[tex]4x+5=8[/tex]
[tex]4x=3[/tex] (Use the Subtraction Property of Equality to subtract [tex]5[/tex] from both sides of the equation, which isolates [tex]x[/tex])
[tex]x=\frac{3}{4} =0.75[/tex] (Use the Division Property of Equality to divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)
Hope this helps!
Cassie purchases a new car for $30,000 that depreciates 6% each year. How much will the car be worth in 10 years? PLEASE HELP ASAP I NEED THIS GRADE!!
Answer:
it will be worth 3 grand meh pal
Step-by-step explanation:
PLEASE HELP WITH THIS BEEN WAITING FOR AN HOUR!!!
Answer:
The 3rd one
Step-by-step explanation:
The 3rd one because a tessellation is (By definition) "an arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping." In this case 3rd because they fit with no gaps and no overlapping.
Answer:
the third one sorry couldn't answer here sooner!
Step-by-step explanation:
-Ash
A roll of ribbon is used to tie 12 gifts which will be given to teachers on Teacher's
Day. Every gift requires a length of 1.85 m. After tying all the gifts, it was found that
2/3 of the ribbon had been used. The remaining ribbon was cut into 12 pieces of the same length. Calculate the length of each piece of ribbon that had been cut.
can someone help me answer this question plss
Each piece of ribbon that had been cut has a length of approximately 3.7 m.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The total length of ribbon to tie 12 gifts is calculated as,
⇒ 12 gifts × 1.85 m/gift = 22.2 m
The length of the ribbon remaining is calculated as,
Total length = [22.2 / (1/3)] x 2/3
Total length = 66.6 x 2/3
Total length = 44.4
The length of each piece of ribbon that had been cut is calculated as,
Length of each piece = 44.4 m ÷ 12 = 3.7 m
More about the Algebra link is given below.
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rewrite the equation in slope-intercept form.
8x-4y=20
Find the area of the trapezoid.
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
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Cody starts the month of April with 5 action figures. Each month, he collects an additional 3 action figures.
Write an equation (in slope-intercept form) that matches Cody's situation.
Group of answer choices
y = 3x + 5
y = 5x + 3
y = 3x - 5
y = 5x - 3
Answer:
y= 3x + 5
Step-by-step explanation:
The +5 represents the starting 5 action figures, and the 3x represents the 3 action figures he collects each month.
Write an inequality to label the shaded region of the graph
-3
2
11
X
-3
-
4
-
- 1 -2
3
4
Answer:
y < 1
Step-by-step explanation:
the value of y in the whole part is less than or equal to 1.
A reflecting telescope contains a mirror shaped like a parabola of revolution. If the mirror is 16 inches across at its opening and is 2 feet deep, where will the light be concentrated?
Answer:
18
Step-by-step explanation:
A plane traveling with a velocity measured in meters per second, is described by vector a = 5,6). Find the
speed of the plane.
Answer:
The speed of the plane is [tex]v=1.2\: m/s[/tex]
Step-by-step explanation:
The vector (5,6) represents a point in the coordinate system time-position.
So, we have that at t = 5 s the position is x = 6.
Let's recall that the slope of this vector is the speed, then using the tangent definition:
[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]
[tex]v=1.2\: m/s[/tex]
I hope it helps you!
PLEASE HELP!!!! It’s timed
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 41, adjacent B C is 9, opposite A C is 40.
Answer:
bStep-by-step explanation:
we are given opposite, adjacent and hypotenuse
and said to find cos(B)
recall trigonometric identity [tex]\cos(\theta)=\dfrac{adj}{hypo}[/tex]
let adj and hypo be 9 and 41 respectively
so
[tex] \displaystyle \: \cos( \beta ) = \frac{9}{41} [/tex]
hence our answer is b
Diana is working on a painting for school. She needs 1 1/5 ounces of yellow paint and 2 1/2 ounces of orange paint. How much less yellow paint does she need than the orange paint?
Answer:
1 3/10
Step-by-step explanation:
We are to determine the difference the paint of yellow and orange paint
The equation we are to solve is
[tex]2\frac{1}{2} - 1\frac{1}{5}[/tex]
The equation can be solved by taking the following steps
Subtract the two whole numbers divide each denominator by the least common multiple of the denominator and multiply the figures by the numerator[tex]1\frac{5 - 2}{10}[/tex] = [tex]1\frac{3}{10}[/tex]
Lowest common factor of 28 and 30
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Answer: 2
Explanation:
I hope this helped!
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please help, find the area
Answer:
26 units^2
Step-by-step explanation:
You have all the information to find the area of each of the triangles that make up the kite so all you need to do is find the area of each of them and add them all together.
Triangle 1 = 1/2(2 x 7) = 7
Triangle 2 = 1/2(2 x 7) = 7
Triangle 3 = 1/2(2 x 6) = 6
Triangle 4 = 1/2(2 x 6) = 6
Total Area = 26
The area of the kite is 26 units^2
Please I need help with this
Answer:
1680.25
Step-by-step explanation:
The size of the coyote population at a national park increases at the rate of 4.3% per year. If the size
of the current population is 183, find how many coyotes there should be in 6 years. Use
y = yoe^0.043t and round to the nearest whole number.
A) 235
B) 241
C) 239
D) 237
Answer:
B
Step-by-step explanation:
The estimated number of coyotes after six years, rounded to the closest whole number, is 237.
Therefore, option D) 237 is the appropriate response.
Given that in a national park the population of coyote is increasing by 4.3% per year.
The current population is 183.
We need to find the size of the population after 6 years.
To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:
[tex]y = y_oe^{0.043t[/tex]
Where:
y = final population after t years
y₀ = initial population
r = growth rate
t = time in years
In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).
Plugging in the values:
[tex]y = 183 \times e^{(0.043 \times 6)[/tex]
Calculating this expression:
[tex]y \approx 183 \times e^{(0.258)[/tex]
Using a calculator:
[tex]y \approx 183 \times 1.294[/tex]
[tex]y \approx 236.502[/tex]
Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.
Therefore, the correct answer is option D) 237.
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4 drinks for $3 is a unit rate?
Answer:
No, a unit rate is a rate for one quanity such as 1 drink for 0.75 cents.
Step-by-step explanation:
A cuboid has dimensions 8 cm, 5 cm and 14 cm.
8 cm
5 cm
14 cm
Find the volume of the cuboid.
Answer:
54cm
Step-by-step explanation:
8cm + 5cm + 14cm = 27 cm + 27 cm = 54 cm