Answer:
x = 5
Step-by-step explanation:
This is a right triangle with hypotenuse x
We can use the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = x^2
9+16= x^2
25=x^2
Take the square root of each side
sqrt(25) = sqrt(x^2)
5 = x
A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid
Answer:
8mStep-by-step explanation:
Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;
a is the base edge
a² is the base area
h is the slant height
Given Volume of the pyramid V = 384m³
Base area a² = 144m²
h =?
On substituting to get the slant height;
[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]
The slant height of the pyramid is 8m
I need the answer ASAP! Thanks! ❤️
which of the following are properties of the circumference of a triangle
Answer:
angle, length height
Step-by-step explanation:
The circumference of a triangle are the lengths of all three sides added together. If you ask yourself what are the properties you need to measre the lengths of a side.
The polynomial f(x) is written in factored form:
f(x) = (x - 3)(x + 8)(x - 11)
What are the zeros of the polynomial function?
O x = 3, x = 8, x = 11
O x = 3, x = -8, x = 11
OX=-3, x = 8, X = -11
x = -3, x = 3, x = -8, x = 8, x= -11, x = 11
Answer:
F(x)=(x-3)(x+8)(x-11)=0
(x-3)=0, (x+8)=0, (x-11)=0
X=3
X=-8
X=11
In the diagram of circle A, what is the measure of ZXYZ?
35
70°
75
140
The solution is, the value is 35 degrees, is the measure of ZXYZ.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given diagram, we get,
Using the intersecting secant theorem:
Angle xyz = 1/2( wz- XX)
Xyz = 1/2(175-105)
Xyz = 1/2(70)
Xyz= 35
The solution is, the value is 35 degrees, is the measure of ZXYZ.
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Which tables display linear functions? Check all that apply.
Answer:
A,D, First and Last
Step-by-step explanation:
Answer:
All boxes but the top right box are linear.
0 0 1 2 3 4 4 5 6 6
Which of the following could be the one missing data item for the above
set, if the mode is 4?
OA) 0
OB) 3
OC) 4
OD 5
Which ordered par Woud form a proportional relationship with the point graphed Below?
A (10,10)
B (25,35)
C (70,50)
D (90,60)
What are the rules of simplifying exponents?
Answer:
To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.
Step-by-step explanation:
Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.
Answer:
The cone holds 9.8 cubic inches ice cream
Step-by-step explanation:
Height of cone = 6 inches
The circular opening at the top is 2.5 inches across
Diameter of cone = 2.5 inches
Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]
Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]
Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]
Volume of cone = [tex]9.8125 in^3[/tex]
Hence the cone holds 9.8 cubic inches ice cream.
What is the volume of the pyramid h=9.6 l=8.5 w=8.5
Answer:
V = 231.2
Step-by-step explanation:
v = (l * w * h )/3
Answer:
V ≈ 231.2
Step-by-step explanation:
Using the formula: V = 1/3 x L x W x H
The figure below shows the quotient of Fraction 3 over 4 divided by Fraction 3 over 8 .
Rectangle divided into eight equal parts, where the first three-part is shaded dark representing three-eighths, the next three parts are shaded light to complete the three-fourths, and the last two parts are not shaded
The quotient is ____.
Suzy is shopping at a book sale. The table shows prices for paperbacks.
A two-column table with 3 rows. Column 1 is labeled Books (x) with entries 4, 6, 8. Column 2 is labeled Cost (y) with entries 6, 9, 12.
These points are graphed. Notice the pattern of the points. What is the rate?
The cost is $
for every 2 books.
Answer:
3 bucks
Step-by-step explanation:
The rate of change is 2 and the cost of two books is $3.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + C = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, Suzy is shopping at a book sale. The table shows prices for paperbacks.
The points are, (4, 6), (6, 8), and (8, 12).
Slope(m) = (12 - 8)/(8 - 6).
Slope(m) = 4/2.
Slope(m) = 2.
Now, 4 books cost $6, hence 2 books cost $3.
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Solve for y: 12x + 4y = 24
Plz help
A) y=4
B) y=-3x+6
C) y=-1/2x+4
D) y=2x+4
Answer: b
Step-by-step explanation:
what is the answer to:
16^3/2
In my view the answer is 2,048
I am not sure about this answer..so if it is mistake then sorry
Answer:
[tex]16^\frac{3}{2} = 64[/tex]
Step-by-step explanation:
[tex]16^\frac{3}{2}[/tex]
Factor the number: [tex]16 = 4^2[/tex]
[tex]= (4^2)^{\frac{3}{2} }[/tex]
Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]
[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]
[tex]= 4^3[/tex]
Refine:
[tex]=64[/tex]
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Thank you, have a good day! =)
Jared makes $133 per hour, but he loses 20% of his pay for a day if his boss catches him on the internet. If Jared works for 8 hours a day for 5 days, and his boss only catches him on the internet once how much money will he make in the five days?
Answer:
$5107.20
Step-by-step explanation:
His pay after he was caught once
133x 8=1064
1064x 20% = 212.8
1064-212.8=851.2
1064x 4= 4256
4256+ 851.2=5107.2
Members of alachua district choir were asked, when given the choice between romanticism or gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender
The question is incomplete, so here is the complete question.
Members of alachua district choir were asked, when given the choive between romanticismor gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:
48 males preferred Romanticism
63 males preferred Gothic
59 females preferred Romanticism
62 females preferred Gothic
Part A: Fill in and complete the following contigency table. Circle the largest joint frequency and put a box around the smallest marginal frequency.
Romanticism Gothic Total
Males
Females
Total
Part B: Which style was preferred as the state competition piece and by what percentage?
Part C: Which subject was preferred the most by Males?
Part D: What frequency does 125/232 represent?
Answer and Step-by-step explanation:
Part A:
Romanticism Gothic Total
Males 48 63 111
Females 59 62 121
Total 107 125 232
Part B: The preferred style is Gothic by a percentage of
P = [tex]\frac{125}{232}[/tex]
P = 54%
Part C: According to the table, the style preferred the most by males was Gothic, since 63 males chose it over 48 that chose Romanticism.
Part D: The frequency 125/232 represents the total of people (male AND female) that preferred Gothic over the total of people in both categories.
2 divided by one over 3 the awnser is a fraction
Answer:
1/6
Step-by-step explanation:
2/1÷ 1/3 (First make 2 a fraction, because 2= 2/1 we will use 2/1)
1/2÷ 1/3 (Now we flip the numerator and denominator on a fraction)
1/2 (1/3) (Now we multiply straight across numerator times numerator, denominator times denominator)
1/6 (This is our answer!)
Hope this helped! Stay safe and have a good day or night!
Ming took a cab across town. His fare was $22, and he leaves an 18%tip.
What is the total amount Ming pays the cab driver?
Answer:
$25.96
Step-by-step explanation:
take 18% of 22, which is 3.96. Add it to 22 and that's the amount Ming payed!
If a polynomial function f(x) has roots 0, 3, and 2+ V5, what must also be a root of f(x)?
-2-sqrt15
2-sqrt15
15-sqrt 2
15+sqrt 2
Answer:
Option B.
Step-by-step explanation:
Note: Given roots are not in proper format.
Consider the polynomial function f(x) has roots 0, 3, and [tex]2+\sqrt{15}[/tex].
According to irrational root theorem if [tex]a+\sqrt{b}[/tex] is root of a polynomial P(x), then [tex]a-\sqrt{b}[/tex] is also a root of polynomial P(x).
Since [tex]2+\sqrt{15}[/tex] is an irrational root of the function f(x). By irrational root theorem [tex]2-\sqrt{15}[/tex] is also a root of function f(x).
Therefore, the correct option is B.
Answer:
B)
Step-by-step explanation:
Find the interquartile range (IQR) of the data in the box plot below.
Asap ASAP Please PLZ
Answer:
3
Step-by-step explanation:
IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3
The interquartile range (IQR) of the data in the given box plot is: 3.
What is the Interquartile Range (IQR) of a Data?In a box plot, the interquartile range (IQR) is the difference between the upper quartile and the lower quartile which are represented as each edge of the rectangular box.
Upper quartile = 7Lower quartile = 4Interquartile range (IQR) = 7 - 4
Interquartile range (IQR) = 3
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Four less than 3 times a number is the same as the number plus 10 - in an equation
Answer:
4-3x=x+10
Step-by-step explanation:
4- (four less)
3x (3 times a number)
= (is the same as)
x (the number)
+10 (plus ten)
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2 Points
Which of the following is an advantage to using graphs and diagrams?
A. They sometimes give you too much information so you must
decide what is relevant to the problem,
O B. They help to visualize the problem.
C. They are always the most useful in any problem.
O D. They are best used alone.
SUB
Answer:
They help to visualize the problem
Step-by-step explanation:
Does the function model exponential growth or decay?
h(t) = 0.25 - 1.5t
A.) growth
B.) decay
Answer: it’s growth
Step-by-step explanation:
What is the exponential form of log4 16 = 2?
Explenation:
Logarithm
log
b
x
is the exponent of a power with base
b
which gives the number under
log
sign (
x
).
In this example we can say that:
log
4
16
=
2
because:
4
2
=
16
Step-by-step explanation:
Which equation in point-slope form contains the points (0,5) and (5,8)?
A. y - 8 = (x - 5)
B. y - 5 = (x – 8)
c. y - 8 = {(x - 5)
D. y - 5 = (x – 8)
I'm going to assume you pasted the question and answers and the fractions for the slope didn't come up.
Solve for the slope using the given values.
Slope formula: y2-y1/x2-x1
= 8-5/5-0
= 3/5
Point slope form: y - y1 = m(x - x1)
Using the point (5, 8) and the slope (3/5), it should look like:
y - 8 = 3/5(x - 5)
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need help quick plz
What is the area of the shaded region to the nearest tenth of a foot?
you can choose more than 1
Answer:
A
Step-by-step explanation:
If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.
Hope this helped!
Answer:
A
Step-by-step explanation:
If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.
Using the unit circle find the exact value. CSC -30º =
Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]
sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus
csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2