Answer:
The correct answer is "The volume of the pyramid is one-third the volume of the prism".
Step-by-step explanation:
The formula for the volume of a rectangular prism is [tex]lwh[/tex], where [tex]l[/tex] represents length, [tex]w[/tex] represents width, and [tex]h[/tex] represents height. The formula for the volume of a rectangular pyramid is [tex]\frac{lwh}{3}[/tex], where [tex]l[/tex] represents length, [tex]w[/tex] represents width, and [tex]h[/tex] represents height. Since the base and height of the rectangular pyramid is the same as the rectangular prism, that means the volume of the pyramid is one-third of the volume of the rectangular prism.
What is the probability of spinning a number greater than 4 or an odd number?
Answer:
3/5 will be greater than 4 while 1/2 will be an odd number.
What is the range of y= x + 2?
Answer:
A) all real numbers greater than or equal to 2
Domain: [tex]x\geq 0[/tex]
Step-by-step explanation:
The variable in the radical x cannot be less than 0 as that wouldn’t be defined. So, the maximum that x can be is 0, and [tex]y=x+2[/tex]. So, 0+2=2, and y is greater than or equal to 2.
Domain is x is greater than or equal to 0 because you cannot square a negative. So, it must not be less than 0. It could be 0 because square root of 0 is just 0.
Can someone help me???
Answer:
91 cm squared
Step-by-step explanation:
13 x 7 = 91
Answer: 77
Step-by-step explanation:
13 × 7 - (4 × 3) - (2 × 1)
Have a good day :)
Write and solve an equation to find the values of d and w .
Answer:
d = 65°
w = 55°
Step-by-step explanation:
m∠DAC +∠m∠CAB = 60
m∠DAC + 35 = 60
m∠DAC = 25
m∠DAC + d = 90
25 + d = 90
d = 65°
m∠GAF + w + d = 180
60 + w + 65 = 180
w + 125 = 180
w = 55°
samuel can do 9 word problem s in 25 minutes at this rate about how many word problem can he do in 42 minutes
Answer:
15 word problems
Step-by-step explanation:
Given that
Samuel can do 9 word problems in 25 minutes
So we need to find out how he can do the word problems in 42 minutes
The calculation is given below;
= 9 × 42 minutes ÷ 25 minutes
= 15.12
= 15 word problems
Hence, the same would be considered and relevant
What is the value of x?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
m
A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.
Answer:
x = 10.2 m
Step-by-step explanation:
law of sines:
sin 30° / x = sin 69° / 19
cross-multiply:
.5(19) = sin 69°x
x = .5(19) / sin 69°
x = 9.5/.934
x = 10.2
The value of x with the help of sine law is 10.2 units.
What is Sine Law?
Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.
Here, Law of sines:
[tex]\frac{Sin A}{a} =\frac{Sin B}{b} = \frac{Sin C}{c}[/tex]
sin 30° / x = sin 69° / 19
1/2x = sin 69° / 19
cross-multiply:
19/2 = sin 69°x
x = 9.5 / sin 69°
x = 9.5/0.934
x = 10.2
Thus, the value of x with the help of sine law is 10.2 units.
Learn more about Sine Law from:
https://brainly.com/question/17289163
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Which is not a pair of congruent sides in the diagram below?
EF and JH
EK and GH
KJ and JH
KJ and FG
A line segment passing through the centre of the circle and
having its two end points on
the circle is called
Answer:
Diameter
Step-by-step explanation:
Diameter a line segment passing through the centre of a circle and having its endpoints on the circle is called a diameter of the circle.
HELP ASAPPPPP PLEASEE
Answer:
A, B, B, A.
Step-by-step explanation:
The corner is 90 degrees. Therefore it has one right angle and is right. An isosceles triangle has 2 sides of equal length.
Answer:
abba.
Step-by-step explanation:
ksksskskwkwrandommmmmm
A plane is travelling at 180 metres per second. How many minutes will it take for the plane to travel 800km? Give your answer in the nearest minute.
Answer:
79 minutes
Step-by-step explanation:
A plane is travelling at 180 meters per seconds
Convert to km/hr
180× 18/5
= 648 km/hr
Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is
= 1/648 × 800
= 1 hour 19 minutes
Conver the time to full minutes
60 minutes = 1 hour
= 60+19
= 79 minutes
Hence the minutes required for the plane to travel 800km is 79 minutes
There are some dogs and some ducks walking in a park. Aiden counts the animals and says, “There are 30 animals in this park!” Chloe counts their legs and says, “They have a total of 84 legs!” How many ducks are in the park?
Answer:
13
Step-by-step explanation:
13
On February 18, from 9 a.M. Until 2 p.M., the temperature rose from -14°F to 36°F. What was the total increase in temperature during this time period?
Answer: 50 degrees
Step-by-step explanation:
36 - - 14
36 + 14 = 50
If the domain (or pre-image) of a function that is translated up 5 is (-1, 8), (-2,4), (-1, -7), what is
the range (or image)?
Answer:
The image of the given points after the translation is;
(-1,13) , (-2,9) and (-1,-2)
Step-by-step explanation:
By translating vertically to the tune of 5 units, what we have done is to add 5 units to the y-axis value
so for (-1,8); it will become (-1, 8 + 5) = (-1,13)
for (-2,4); it will become (-2,4 + 5) = (-2,9)
for (-1,-7); it will become (-1,-7+ 5) = (-1,-2)
A community pool charges $78 for swim lessons and a $2 towel rental fee per day. At the end of the summer Yolanda spends $102. How many days did Yolanda go for swim lessons?
Answer: 12 days
Step-by-step explanation:
Given
A community pool charges $78 for a swim lesson and $2 for a towel each day
Suppose Yolanda attended the session for x days
So, we can write the total fees of $102 as
[tex]\Rightarrow 102=78+2x\\\Rightarrow 2x=102-78\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12[/tex]
So, Yolanda attended the swim lessons for 12 days
Given the following kite find:
Answer:
63
Step-by-step explanation:
90+13x+1+28x+7=180
98+41x=180
41x=82
x=2
Plugging in the value of x, we get:
28x+7=28(2)+7=56+7=63
Find The Missing Lenght of the right triangle. Round to The Nearest
Answer:
b ≈ 8.49
Step-by-step explanation:
A^2 + b^2 = c^2. (Pythagorean theorem)
c is the hypotenuse or the longest side of a triangle.
a and b are the other 2 sides.
17^2 + b^2 = 19^2
289 + b^2 = 361
289 + b^2 - 289 = 361 - 289
b^2 = 72
b ≈ 8.49
Have a great day!
What would this expression be when simplified
Answer:
The first one is the answer
Step-by-step explanation:
In ΔJKL, the measure of ∠L=90°, the measure of ∠J=25°, and KL = 26 feet. Find the length of LJ to the nearest tenth of a foot.
Answer:
55.8 feet
I hope this helps people
Which of the following rational numbers is closest to V7 ?
2.1
2.5
2.6
3.5
Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the other. The Field is 110m long. How long does the ball take to get from one end of the field to the other if it traveled at the same speed the entire time?
Answer:
[tex]t=3.142sec[/tex]
Step-by-step explanation:
From the question we are told that:
Speed of ball [tex]V=35m/s\approx 80 mph[/tex]
Length of field [tex]l=110m[/tex]
Generally the equation for Time taken [tex]t[/tex] is mathematically given by
[tex]t=m/V[/tex]
[tex]t=110/35[/tex]
[tex]t=3.142sec[/tex]
[tex]t \approx \frac{3.142}{60}[/tex]
[tex]t \approx 0.05hrs[/tex]
Therefore it will take the ball to get from one end of the field to the other
[tex]t=3.142sec[/tex]
SNACKS The face of the popcorn box can be modeled with an isosceles trapezoid with QR=3x+2.5, RS=9x−4.8 , ST=4x−2 , and QT=6x+1.2.
Answer:
TQ=SR [since it is isosceles trapezoid]
6x+1.2=9x-48
48+1.2=9x-6x
3x=49.2
x=49.2/3=16.4
now
QR=3×16.4+2.5=51.7
SR=9×16.4-48=99.6
ST=4×16.4-2=63.6
TQ=6×16.4+1.2=99.6
As it's isosceles trapezoid
QT=RS9x-4.8=6x+1.23x=6x=2Now
QR=3(2)+2.5=8.5
RS=9(2)-4.8=13.2
ST=4(2)-2=6
QT=6(2)-1.2=10.8
Read the word problem below.
Antonio has a total of 55 marbles. He has 15 green marbles and 12 red marbles. The rest of the marbles are blue. How many blue marbles does he have?
A student solves this problem by writing an equation. Which strategy could help check the student’s answer?
a) Check that the sum of the final answer, 12, and 15 is 55.
b) Check that the difference of 55 and the final answer is 12
c) Check that the sum of the final answer, 27, and 15 is 55.
d) Check that the difference of 55 and the final answer is 15.
Answer:
27 are blue C.
Step-by-step explanation:
Which function in vertex form is equivalent to f(x) = x2 + x +1?
5
ORX) = (x + 4+1
RX) = (x + 1) +
ORX) = (x + 1) +
O Rx) = (x + 1) +
3
5
Answer:
3rd option is correct
Step-by-step explanation:
:)
The vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Vertex form of an equation
Given the expression [tex]f(x) = x^2 + x +1[/tex]
The vertex form is expressed as shown below:
[tex]f(x) = x^2 + x +1\\f(x) = x^2 + x + 1^2 +1 - 1^2\\f(x) = (x+1)^2 - 0[/tex]
Express the result in vertex form.
[tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Hence the vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Learn more on vertex form here: https://brainly.com/question/525947
find 18.2% of 25000
please and fast I'm in assessment
Answer:
4550
Step-by-step explanation:
Answer:
Step-by-step explanation:
18.2% of 25000 = 4550
Find the fifth term when a1=4 and r=-3
Answer:
a₅ = 324
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex] then
a₅ = 4 × [tex](-3)^{4}[/tex] = 4 × 81 = 324
a) Complete the table of values for x + y = 6
X
-2
-1
0
1
3
N
у
Step-by-step explanation:
Given equation is x+y=6
Table:-[tex]\boxed{\begin{array}{c|c|c}\bf x &\rm 3 &\rm 2 &\rm 1\\ \bf y &\rm 3 &\rm 4 &\rm 5\end{array}}[/tex]
-4x + 1 = -11
how do i solve this
Answer:
3
Step-by-step explanation:
- 4x + 1 = - 11
- 4x = - 11 - 1
- 4x = - 12
x = - 12 / - 4
x = 3
Answer:
-4X+1=-11
-4x=-11-1
-4x=12
x=12/4
x=3
Determine the value of y, if x is 7.
y = x2 - 1
Answer:
13
Step-by-step explanation:
If x is 7, then 7 * 2 = 13, and 14 - 1 = 13.
Hope that this helps!
Directions: Find the odds and the probability of the event(s) occuring.
There are six boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different
student to answer another question. The
first student is a boy and the second
student is a girl.
P(boy then girl) =
Odds =
Answer:
12/49
Step-by-step explanation:
Cecilia has the shirts indicated in the table.
Color
Pink
White
Black
Blue
Number of Shirts
3
1
4
4
Cecilia will randomly choose one shirt and then put it back in her closet. Then she will
randomly choose another shirt. What is the probability that she will choose a black shirt
and then a pink shirt?
Answer:
it is H
Step-by-step explanation:
4-3 is 1 and there is 12 total objects so it is 1/12