A rectangular pyramid has a base that measures 8 inches by 10 inches, a height of 12 inches, and a slant height of 15 inches. elena calculated the volume of the pyramid as shown. v = 1 3 bh v = 1 3 (80)(15) v = 400 in.3 what was her mistake? elena used the wrong units. elena incorrectly used the slant height instead of the height. elena multiplied incorrectly. elena should not have multiplied by one third.
Answer:
Elena incorrectly used the slant height instead of the height.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
i got it right
What is the answer to this problem
Answer:
your answer is 242 in^2
A=22+52+168
A packed box that is being shipped will be weighed in order to calculate the correct postage needed. The total weight of a packed box will be the combined weight of the empty box and the product that is placed in the box. Jasmine is currently packing medium-sized boxes. Before packing her first box, Jasmine measured the weight of the empty medium-sized box to be 0.88 pounds. After packing the box, Jasmine measured the total weight of the box to be 7.24 pounds.
Complete the following equation so that it can be used to find the weight, w, of the product inside the first box that Jasmine packed, and then find the weight of the product.
0.88 pounds + w pounds = 7.24 pounds
The weight of the product inside the first box is
pounds ____?
Answer: 6.36lb
Step-by-step explanation:
Step-by-step explanation:
Total Weight of the package = weight of product + weight of box
Weight of empty box =0.88lb
Total weight of the box is =7.24lb
Let Weight of product inside box=w
Let wet of empty box =y
Total weight = F
Then,
F=y+w
Since F=7.24lb. y=0.88
Then, w=F-y
w=7.24-0.88
w=6.36lb
The weight of the product is 6.36lb
hope this helps :)
4 of 8
Given that y = 6 cm and 0 = 32", work out I rounded to 1 DP.
x =
Answer:
[tex]x=3.18[/tex] [tex]cm[/tex]
Explanation:
[tex]x=3.18[/tex] [tex]cm[/tex]
Substitute [tex]y=6 cm[/tex] into [tex]\frac{}{AC} =y:\frac{}{AC} =6cm[/tex]
Substitute [tex]0=32[/tex] into ∠[tex]CAB=0:[/tex] ∠[tex]CAB=32^o[/tex]
sinA=leg opposite ∠A/hypotenuse : [tex]sin(CAB)=\frac{\frac{}{BC} }{\frac{}{AC} }[/tex]
Substitute [tex]\frac{}{BC} =x,\frac{}{AC}=6cm,[/tex] ∠[tex]CAB=32^o[/tex]
into sin(∠[tex]CAB[/tex]) [tex]=\frac{\frac{}{BC} }{\frac{}{AC} }:sin(32^o)=\frac{x}{6}[/tex]
Calculate [tex]sin(32^o)=\frac{x}{6} :x=3.18cm[/tex]
Describe the zero product property and explain how tu use it to solve (2x + 10) (x - 7) = 0
Answer:
See below
Step-by-step explanation:
Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:
[tex]2x+10=0\\2x=-10\\x=-5[/tex]
[tex]x-7=0\\x=7[/tex]
Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:
[tex](2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0[/tex]
[tex](2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0[/tex]
The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 15 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. . Store Shelf Space Weekly Sales 1 5 1.3 2 5 1.6 3 5 1.4 4 10 1.7 5 10 1.9 6 10 2.3 7 15 2.2 8 15 2 9 15 1.8 10 20 2.2 11 20 2.4 12 20 2.9 13 25 2.9 14 25 2.7 15 25 2.5 Using the regression line for this problem, the approximate Weekly Sales for shelf space that is :_________,i. 30. ii. 3.12 iii. 3.1 iv. 3.04 v. 2.99
The Weekly Sales for 30 shelf spaces is 3.04
How to determine the Weekly Sales for 30 shelf spaces?The proper table is added as an attachment.
Next, we determine the regression equation using a graphing calculator.
From the graphing calculator, we have the following calculation summary:
Sum of X = 225Sum of Y = 31.8Mean X = 15Mean Y = 2.12Sum of squares (SSX) = 750Sum of products (SP) = 46The regression equation is represented as:
y = bx + a
Where
b = SP/SSX = 46/750 = 0.06133
a = MY - bMX = 2.12 - (0.06*15) = 1.2
So, we have:
ŷ = 0.06133x + 1.2
When x =30, we have:
ŷ = 0.06133 * 30 + 1.2
Evaluate
ŷ = 3.04
Hence, the Weekly Sales for 30 shelf spaces is 3.04
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What is the degree measure of major
arc QTS?
Answer:
320
Step-by-step explanation:
20*2 = 40
360 - 40 = 320
HELP! need help ASAP, 50 points and brainiest will be given to whoever helps.
Solve for x:
Answer:
12
Step-by-step explanation
A basketball team made $3,094 selling team hats. Each hat sold for $34. How many hats did the team sell?
Answer:
The team sold 91 hats.
Step-by-step explanation:
$3,094 ÷ %34 = 91
is 10 times as much as 20 1/10 of 2,000?
Answer:
IT IS 43./45455/.34 LIKE WHEN U ADD 10 TIMES 10 AND DIVIDED 2,000 FROM 20 U THAT ANSWER
please helpp
2. A line goes through the points {8, 9} and {-2. 4}.
(a) What is the slope of the line? Show all steps of work for full credit. (2 pts)
(b) Write the equation of the line in point-slope form. Show your work (state the point and slope you are using). (2 pts)
POINT (Ordered Pair): ¬¬¬_______________
SLOPE:_______________
EQUATION:____________________________
(c) Write the equation of the line in slope-intercept form. Show all steps of work for full credit. (2 pts)
Answer:
a)
[tex] \frac{2}{5} [/tex]
b)
Step-by-step explanation:
slope formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{4 - 9}{ - 2 - 8} [/tex]
=
[tex] \frac{2}{5} [/tex]
b) using point (-2,4)
[tex]y - y1 = m(x - x1)[/tex]
[tex]y - 4 = \frac{2}{5} (x - ( - 2)[/tex]
Now distribute
[tex]y - 4 = \frac{2}{5} x + \frac{4}{5} [/tex]
add 4 to each side
[tex]y = \frac{2}{5} x + \frac{24}{5} [/tex]
can use the other point given if you want
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
D. octagon
Step-by-step explanation:
Whats the soulution to the stimultaneous equation 2x-3y=-1 and y=2x+3
g(x)= -2/× + p + q
what are values of p and q?
[tex]q = \frac{gx {}^{2} - px + 2}{x} \\ [/tex]
[tex]p= \frac{gx {}^{2} - qx + 2}{x} [/tex]
What are the solutions to the equation x2 − 1 = 399? a. b. c. d.
The given equation is a quadratic equation with a degree of 2 and leading coefficient of 1. The solution to the given quadratic equation are -20 and 20
Solution to the system of equationsThe given equation is a quadratic equation with a degree of 2 and leading coefficient of 1.
Given the expression
x^2 - 1 = 399
Add 1 to both sides
x^2 = 399 + 1
x^2. = 400
Take the square root of both sides
x = ±√400
x = ±20
Hence the solution to the given quadratic equation are -20 and 20
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Is the eye color of a student in class classified as a qualities or quantitive variable
Answer:
Qualities variable, because eye color is something you observe from a study on someone. Eye color cannot be observed very well from a quantitive variable, because quantitive variables record height, weight, and other statistics other than eye color.
Find the value of x.
please explain because I'm confused
Answer:
40
Step-by-step explanation:
The sum of exterior angles of a convex polygon is 360°. This relation lets you write an equation for x.
__
Clockwise from the bottom, the sum of exterior angles is ...
90° +(x +35)° +(x +15)° +(2x -20)° +(2x)° = 360°
120° +6x° = 360° . . . . . . . simplify
6x = 240 . . . . . . . . . . divide by °, subtract 120
x = 40 . . . . . . . . . . divide by 6
The value of x is 40.
Answer:
x = 40°
Explanation:
The shape is a pentagon. Any polygon's exterior angles sum up to 360°.
Now, they all sum up to 360° :
⇒ (x + 35) + (x + 15) + (2x - 20) + 2x + 90 = 360°
⇒ x + x + 2x + 2x + 35 + 15 -20 + 90 = 360°
⇒ 6x + 120° = 360°
⇒ 6x = 360° - 120°
⇒ 6x = 240°
⇒ x = 240°/6
⇒ x = 40°
What is ur fav.
1) Chocolate 2) Vanilla 3) Strawberry 4) Mint Chocolate Chip 5) Cotton Candy 6) Coffee
Pick a number and put your name in the comments below with the number u picked
Answer:
cotton candy 6 I'm sure that's is answer thank youEnlarge the triangle by scale factor -3 with centre (3, 3)
Answer:
... There isnt answer choices...
Answer:
the new points/coordinates would be (3,0) and (3,-3) and (-3,-3)
Step-by-step explanation:
this is because you use column vectors and draw a cross at the centre of enlargement then find out how many spaces you need to go right and up for each of the coordinates. then times that by -3 and use your answers to go left and down from the centre (3,3)
The difference of two numbers is 18. The sum of the two numbers is 62. Let x be the greater number, and let y be the lesser number.
Please help ASAP
Answer:
x=40,y=22
Step-by-step explanation:
62/2=31
31+9=40
31-9=22
40+22=62
Complete the table of values for function f, and then plot the ordered pairs on the graph.
Answer:
See picture above
Explanation:
Hope this helps and have a nice day
The set of ordered pairs shown below defines a relation.
{ (-1,- 6), (2, - 6), (3,5), (4,0), (4,7)}
Which of the following represents the domain of this relation?
A { - 1,2,3,4}
-
-
® { - 6,0,5,7}
©{-1,4}
O {-6,7}
-
The domain of the given relation will be { - 1,2,3,4}.
What is a domain?The domain of the function is defined as the set of all the possible values of the function.
So here we have the ordered pairs given as:-
{ (-1,- 6), (2, - 6), (3,5), (4,0), (4,7)}
Here the possible values for the input of the functions are { - 1,2,3,4}.
Therefore the domain of the given relation will be { - 1,2,3,4}.
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: Find the area of the shaded region for these two questions. Remember this
Area of shaded region= total area - area of unshaded region.
^explain
Answer:
c) 18 cm²
d) 30 cm²
Step-by-step explanation:
c)
You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.
Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.
area of triangle = bh/2
shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2
shaded area = 24 cm² - 6 cm²
shaded area = 18 cm²
Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.
area of trapezoid = (B + b)h/2
shaded area = (6 cm + 3 cm)(4 cm)/2
shaded area = (9 cm)(4 cm)/2
shaded area = 18 cm²
d)
The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.
area of rectangle = length × width
area of triangle = bh/2
shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2
shaded area = 48 cm² - 18 cm²
shaded area = 30 cm²
angles that are exactly 90 degrees are called
Answer:
Right angles.
Step-by-step explanation:
When an angle's measurements equal 90 degrees, it is called a right angle.
Answer:
Right angles
Step-by-step explanation:
For instance a a triangle with an angle of 90 ° is a right trangle because is has a right angle in it.
Find the errors and solve the problem correctly!
Thanks
The sequence converges to 5 as n goes to ∞. We can prove this rigorously:
The claim is that, for [tex]n\in\Bbb N[/tex],
[tex]\displaystyle \lim_{n\to\infty} \frac{5n-1}{n+1} = 5[/tex]
By definition of the limit, this means for any ε > 0, there exists some N such that for any n larger than N, we have
[tex]\left| \dfrac{5n-1}{n+1} - 5 \right| < \varepsilon[/tex]
In order to ensure this inequality, we work backwards to find N in terms of ε :
[tex]\left| \dfrac{5n-1}{n+1} - 5 \right| = \left| \dfrac{5n-1 - 5(n+1)}{n+1} \right| = \dfrac4{|n+1|} < \varepsilon[/tex]
n is a natural number, so n + 1 > 0 and |n + 1| = n + 1. Then
[tex]\dfrac4{n+1} < \varepsilon \implies \dfrac{n+1}4 > \dfrac1\varepsilon \implies n+1 > \dfrac4\varepsilon \implies n > \dfrac4\varepsilon - 1[/tex]
Let N be the smallest natural number greater than or equal to 4/ε - 1, i.e.
[tex]N = \left\lceil \dfrac4\varepsilon - 1 \right\rceil[/tex]
Then the proof follows: suppose
[tex]n \ge N = \left\lceil \dfrac4\varepsilon - 1 \right\rceil[/tex]
Then
[tex]n \ge \left\lceil\dfrac4\varepsilon - 1\right\rceil \implies n > \dfrac4\varepsilon - 1 \\\\ \implies n+1 > \dfrac4\varepsilon \\\\ \implies \dfrac4{n+1} < \varepsilon \\\\\implies \left|\dfrac{5n-1}{n+1}-5\right| < \varepsilon[/tex]
as required.
Or we can avoid the rigor and use some facts we know about limits:
[tex]\displaystyle \lim_{n\to\infty} \frac{5n-1}{n+1} = \lim_{n\to\infty} \frac{5-\frac1n}{1+\frac1n} = 5[/tex]
since 1/n converges to 0 as n goes to ∞.
Riya's biking app says that she rides at a speed of 5 miles per hour.
At this speed, how far does Riya ride in 1 hour?
At this speed, how far does Riya ride in 3 hours?
Write an equation for the relationship between Riya's distance biked, d,and time t
Answer:
Step-by-step explanation:
Formula
d = speed * time
d = s * t
Givens
t = 1 hour
t2 = 3 hours
s = 5 miles / hour
Solution
t = 1 hour
d = s * t
d = 5 mph * 1 hour
d = 5 miles
t = 3 hours
d = s * t
d = 5 miles / hour * 3 hours
d = 15 miles
Answer
d = s * t
d = 5 miles
d = 15 miles
At Webster Elementary School, of
the fifth graders are enrolled in summer
camps. Of the students enrolled in
summer camps, 12 are enrolled in an
art camp. What fraction of the fifth
graders at Webster are enrolled in
art camp?
Will mark brainlist to whoever answers first
(6).
Answer:
Since RT is equal to 16, we know that RU would be half that amount since SQ goes directly through the middle. Therefore RU = 16/2 would just give us 8.
round 8.48 to the nearest tenth
Answer:
8.50
Step-by-step explanation:
it’s 8.50 this is because if you need to round it to the nearest tenth, you just think is 9 closer to 10? Yes and so you make 48 into 8.50
Answer for 20 points :)
Answer:
sorry this question is do not understand