Answer:
Let's choose the three odd consecutive numbers 1, 3, and 5.
3^2=9
1•5=5
9-5=4
Let's try the same thing, but with the numbers 101, 103, and 105.
103^2=10609
101•105=10605
10609-10605=4
So, yes, the square of the second number out of three consecutive odd numbers is four greater than the product of the first and the third numbers.
Pick 3 consecutive odd numbers:
3, 5, 7
Square the 2nd number: 5 ^ 2 = 25
Multiply the first and 3rd:
3 x 7 = 21
25-21 = 4
This is true.
Try another set of numbers:
9, 11, 13
11^2 = 121
9 x 13 = 117
121-117 = 4
Again it’s true.
PLEASE HELP ME! 5TH GRADEThe solid figure is separated along the dotted line into two rectangular prisms. What are the volumes of the two rectangular prisms? What is the volume of the solid figure? Use the drop-down menus to show your answer. A solid is made up of 2 rectangular prisms. The total length of the solid is 20 inches. First rectangular prisms has a height of 5 inches, and width of 4 inches. Second rectangular prisms have 4 inches, a height of 8 inches, and a width of 4 inches. The volume of two rectangular prisms are Choose... cubic inches and 128 cubic inches. The volume of the solid figure is Choose... cubic inches.
The volume of the solid figure is the amount of space in it
The volume of the solid figure is 448 cubic inches
How to determine the volume of the figures?For the first rectangular solid, we have:
Height = 5 inchesWidth = 4 inchesLength = 16 inchesSo, the volume is:
Volume = 5 * 4 * 16 cubic inches
Volume = 320 cubic inches
For the second rectangular solid, we have:
Height = 8 inchesWidth = 4 inchesLength = 4 inchesSo, the volume is:
Volume = 8 * 4 * 4 cubic inches
Volume = 128 cubic inches
The volume of the solid figure is then calculated as:
Volume = 320 cubic inches + 128 cubic inches
Volume = 448 cubic inches
Hence, the volume of the solid figure is 448 cubic inches
Read more about volumes at:
https://brainly.com/question/14831872
Answer:
320 and 448
Step-by-step explanation:
tan of theta= -12/5 and it’s in quadrant 4
Find the exact values of sin theta/2 and the tan of theta/2
Answer:
sin θ/2 = ± √2/13
Step-by-step explanation:
tan θ = - 12/5 (in quadrant 4) sin θ = - 12/13 and cos θ = 5/13
sin θ/2 = ± (√1 - cos θ) / 2 = ± (√1 - 5/13) / 2 = ± √8/13 / 2 = ± √2/13
tan θ/2 = (1 - cos θ) / sin θ = sin θ / (1 + cos θ)
Let you to calculate the tan θ/2 part by yourself
which table represents a function?
here's a graph of a linear function write the equation that describes that function
Answer:
y=3/4x+2
Step-by-step explanation:
Penny makes 5 liters of applesauce. She saves 0.24 liter for dinner and puts the rest in jars. If each jar holds 0.68 liter, how many jars can she fill?
Answer:
Penny can fill eight jars.
Answer:
Penny can fill 8 jars.
Step-by-step explanation:
Step one: Multiply the divisor by a power of 10 to make it a whole number. Then, multiply the dividend by the same power of 10. Step two: Write the decimal point in the quotient above the decimal point in the new dividend. Step three: Divide!
What’s the area? Please help!!
9514 1404 393
Answer:
469 square yards
Step-by-step explanation:
The area of the triangle is ...
A = 1/2bh
A = 1/2(6+14+6)(21) = 273
The area of the square is ...
A = s^2 = 14^2 = 196
The total area of the figure is the sum of the parts.
273 +196 = 469 . . . square yards
8increase by 3 times a number (t).
Answer:
8 + 3n
Step-by-step explanation:
Answer:
8 + 3t
Explanation:
The dot plot shows the number of books Melanie's classmates have read. Approximately what percent of Melanie’s classmates have read more than 7 books
Answer:
.30
Step-by-step explanation:
What is 2 ½ divided by ½ equal too
Answer:
it woulb be 1.25
Clara went to a music store and brought some CDs and DVDs. She paid $14 for each CD and $17 for each DVD. Let x represent the number of CDs that she purchased and y represent the number of DVDs.
Can someone help me with this plz??
Answer:
f(-3) = -2(-3)^3 - 3
f(-3) = 54 - 3
f(-3) = 51
g(3) = -5(3) + 4
g(3) = -15+4
g(3) = -11
Hope this helps!
Which point does not lie on the graph of x + 7y = 7?
find the degrees of the marked angle
Answer:
n=82
m=98
e=98
Step-by-step explanation:
n is vertical to 82
180-82=m and e because they are suplementery angles
Answer:
∠n = 82°
∠m = 98°
∠n = 98°
Step-by-step explanation:
∠n = 82° because it is alternate to 82°
total circle = 360°
∠l =∠m
2∠m = 360° - 82° - 82° = 196°
∠m = 98°
∠n = 98°
unit 10: circles Homework 4: Inscribed angles. please complete the following questions and explain how it is done.
Answer:
Step-by-step explanation:
5. angle FDE = 180-90-63 = 27°
arc FE = 2×27 = 54°
6. arc GJ = 360-68-31-115 = 146°
angle GHJ = 146/2 = 73°
7. angle GIJ = 146/2 = 73°
8. arc DAB = 2×101 = 202°
arc BCD = 360°-202 = 158°
angle A = 158/2 = 79°
angle B = 360-79-110-68 = 112°
10. see picture
5) The sum of angle in the triangle DEF is 180 degrees
mFE = <D
Recall that <D+<E+<F = 180⁰
<D+63+90 = 180
<D = 180-153
<D = 27 degrees
Hence the measure of arc FE is 27degrees
6) For this circle geometry, we will use the theorem
The sum of Opposite side of a cyclic quadrilateral is 180 degrees.
A + C = 180
m<A + 101 = 180
m<A = 180-101
m<A = 79degrees
Similarly
B + D = 180
m<B + 68 = 180
m<B = 180-68
m<B = 112degrees
7) The sum of angle in a circle is 360, hence;
arcGJ+68+31+115 = 36p
arcGJ = 360 - 214
arcGJ = 146⁰
Since the angle at the centre is twice angle at the circumference, then;
<GHJ = 1/2 arcGJ
<GHJ = 1/2(146)
<GHJ = 73⁰
<GHJ = <GIJ = 73⁰ (angle in the same segment of the circle are equal)
8) Recall that the sum of Opposite side of a cyclic quadrilateral is 180 degrees.
P + R = 180
57 + <R = 180
m<R = 180-57
m<R = 123degrees
Similarly, m<Q+m<S = 180⁰
Since the triangle in a semi circle is a right angled triangle, hence m<Q = 90 degrees (triangle PQR is a right angled triangle)
m<S = 180 - 90
m<S = 90 degrees
Learn more here: brainly.com/questions/11325504
What value should n represent in order for the expression
2(x - n) to be equivalent to your expression 2x - 12?
Answer:
6
Step-by-step explanation:
[tex]\frac{12}{2}[/tex]=6
help anyone trying to get my assignments done over the weekend!!
Factor the expression
Answer:
6 (2[tex]x^{3}[/tex] - 3)
Step-by-step explanation:
12[tex]x^{3}[/tex] - 18
Greatest Common Factor:
6
12 / 6 = 2
18 / 6 = 3
6 (2[tex]x^{3}[/tex] - 3)
[tex]82.5.5. \div \times 552.6365 |. < 5 \geqslant 6 > { {0}^{?} }^{2} | [/tex]
Explain why VxVx = x for all x > 0.
Can anyone help me please
Answer:
4x-8=2x+4
x=6
Step-by-step explanation:
Which graph represents the function f (x) = 3 x minus 2 Over x minus 2?
Answer:
C
Step-by-step explanation:
Luis walked for 16 minutes. Natalie walked for w minutes. Luis walked twice as long as Natalie. How long did Natalie walk?
Answer:
Natalie walked for 4 minutes because 16 divided by 2 is 4
Answer:
8
Step-by-step explanation:
16/2=8
Use transformations of f(x) = x² to graph the following function.
g(x) = x² +5
Select all the transformations that are needed to graph the given function using f(x)= x?.
A. Shift the graph 5 units down.
B. Reflect the graph about the x-axis.
C. Shift the graph 5 units up.
D. Reflect the graph about the y-axis.
E. Shrink the graph vertically by a factor of 5.
F. Shrink the graph horizontally by a factor of 5.
G. Shift the graph 5 units to the left.
H. Shift the graph 5 units to the right.
I. Stretch the graph vertically by a factor of 5.
J. Stretch the graph horizontally by a factor of 5.
Answer:
C. Shift the graph 5 units up.
Step-by-step explanation:
vertical translation 5 units up
Robin made a cuboid of plasticine. Length, breadth, and height of the cuboid are
3 cm, 2cm, 3 cm respectively. How many such cuboids will he need to make a
perfect cube?
will need 18cm^3
Step-by-step explanation:
volume of cuboid = length × base × height
so v= 3cm ×2cm×3cm
v=18cm^3
answers needed nowwwwwwwww
Fill in the blanks with a positive or negative Integer
6 ) Sandy has to pay a 12 dollar penalty for driving too fast. ______
7 ) Joan has forty-one orange balloons in her collection. ______
8 ) There are twenty-eight popular trees currently in the park. ______
9 ) Tom has forty-two books in his library. ______
10 ) Nancy found 17 seashells on the beach during her vacation. ______
Answer:
6) -
7) +
8) +
9) +
10) +
Step-by-step explanation:
If 2 cups makes 6 servings, how much makes 2 servings?
Answer:
two- thirds of a cup will Give 2 servings
A brick measures 15 cm in length, 8 cm in breadth and 5 cm in height. How many bricks will be used to make a wall of length 15 cm, breadth 10 cm and height 8 cm
1. 2 bricks
2. 5 bricks
3. 9bricks
4. 4bricks
Answer:
2bricks
Step-by-step explanation:
volume of cuboid = length × breadth ×height
step 1 : calculate the first one
v= 15cm ×8cm× 5cm = 1200cm^3
step 2 calculate the 2nd one
v= 15cm ×10cm×8cm = 600cm^3
number of bricks
1200cm^3 × 1bricks/ 600cm^3 = 2 bricks
How many bags of topsoil does Betsy need to cover her flower bed?
Answer:
3 bags of topsoil is needed
Step-by-step explanation:
base = 20m
height = 6 m
Area of flower bed = [tex]\frac{1}{2}*base*height\\[/tex]
[tex]= \frac{1}{2}*20*6\\\\= 10*6\\= 60 square feet[/tex]
Number of bags= Total area of flower bed ÷ 20
= 60 ÷ 20
= 3
Can you help A B C Or D image is here
Answer:
A
Step-by-step explanation: