The surface area of the rectangular pyramid is the sum of the area of its individual surface. The surface area of the pyramid is 384 square inches.
Each surface of the rectangular pyramid has the shape of a triangle.
So that the area of each surface of the pyramid = [tex]\frac{1}{2}[/tex] x base x height.
From the given question;
The area of one of the two lateral faces = [tex]\frac{1}{2}[/tex] x b x h
= [tex]\frac{1}{2}[/tex] x 10 x 15
The area of one of the two lateral faces = 75 square inches
Thus,
the area of the first two given lateral faces = 2 x 75
= 150 square inches
The area of the first two given lateral faces = 150 square inches
Also,
The area of one of the other two lateral faces = [tex]\frac{1}{2}[/tex] x b x h
= [tex]\frac{1}{2}[/tex] x 18 x 13
The area of one of the other two lateral faces = 117 square inches
So that;
the area of the first two other lateral faces = 2 x 117
= 234 square inches
The area of the first two other lateral faces = 234 square inches
Thus,
the surface area of the pyramid = 150 + 234
= 384 square inches
Therefore, the surface area of the rectangular pyramid is 384 square inches.
For more clarifications: https://brainly.com/question/23564399
Answer:
Step-by-step explanation:
The surface area of the rectangular pyramid is the sum of the area of its individual surface. The surface area of the pyramid is 384 square inches.
Each surface of the rectangular pyramid has the shape of a triangle.
So that the area of each surface of the pyramid = x base x height.
From the given question;
The area of one of the two lateral faces = x b x h
= x 10 x 15
The area of one of the two lateral faces = 75 square inches
Thus,
the area of the first two given lateral faces = 2 x 75
= 150 square inches
The area of the first two given lateral faces = 150 square inches
Also,
The area of one of the other two lateral faces = x b x h
= x 18 x 13
The area of one of the other two lateral faces = 117 square inches
So that;
the area of the first two other lateral faces = 2 x 117
= 234 square inches
The area of the first two other lateral faces = 234 square inches
The area of the rectangle is B x H = 18 x 10 = 180 square inches
Thus,
the surface area of the pyramid = 150 + 234+180
= 564 square inches
Therefore, the surface area of the rectangular pyramid is 564 square inches.
A Boy obtained 80 percent marks.If the full marks is 800,how much did he get?
9514 1404 393
Answer:
640 marks
Step-by-step explanation:
80% of 800 is ...
0.80 × 800 = 640
He got 640 marks.
Pls help I’ll give brainlist
Step-by-step explanation:
21 ÷ 6 = $ 3. 50 each
I hope this answers your question
Answer:
The price for one comic book is $3.5
3.Find the area of Triangle and Parallelogram having base 13.5cm and height is 18cm.
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}Base\times Height[/tex]
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(18)(13.5)[/tex]
[tex]\\ \sf\longmapsto Area=9(13.5)[/tex]
[tex]\\ \sf\longmapsto Area=121.5cm^2[/tex]
please help. . . .. .
The membership fee for joining a gardening association is
$24 per year. A local botanical garden charges members of the gardening association
$3 for admission to the garden. Nonmembers of the association are charred $6.
After how many visits to the garden is the total cost for members, including the
the total cost for nonmembers?
Hi.
Let's call X number of visits.
so members pay for a year : membership 24 and reduce entrance at 3 dollars.
so you member pay : 3X+24
a non member pay entrance fee of 6 for each visit.
so 6X
Question : for how many visit would a membership will be more intresting than standar entrance ?
3X+24 = 6X
3X-6X = -24
-3X=-24
X= -24/-3
X =24/3
X= 8
Under 8 visit a year, it's cheaper non being a member.
at 8 entrance cost is the same for members and non member. After it better to choose membership as
9 entrances for member is : 3x9 +24 = 27+24= 51
non member : 9x6 = 54
And so on for each supplementary visits.
Elizabeth is sketching a copy of the flag shown. The dimensions of the drawing are one-third those of the actual flag. If the area of the drawing is
40 square inches, what is the actual area of the
flag? 5 in. 8 in.
Answer:
360 in.
Step-by-step explanation:
In order to get this answer, you have to multiply 5 and 8 by 3 because the drawing is 1/3 of the actual flag.
5 x 3 = 15
8 x 3 = 24
So, 24 x 15 = 360 in.
Hope this helps! :)
Help me with this plss
If x^2+1/x^2[tex]x^{2} +\frac{1}{x^2}=10; then x+\frac{1}{x}=?[/tex]
(x + 1/x)² = x ² + 2 + 1/x ² = 10 + 2 = 12
==> x + 1/x = ±√12
39. a(x + 3) < 5x + 15 - x
Answer:
x < [tex]\frac{15-3a}{a-4}[/tex]; a > 4
a < [tex]\frac{4x+15}{x+3}[/tex]
Step-by-step explanation:
ax+3a < 4x + 15
ax - 4x < 15 - 3a
x( a -4) < 15 - 3a
x < [tex]\frac{15-3a}{a-4}[/tex]
ax + 3a < 5x + 15 -x
ax + 3a < 4x + 15
a( x + 3) < 4x + 15
a < [tex]\frac{4x+15}{x+3}[/tex]
Answer:
x < (15 - 3a) / (a - 4). ( only true if a > 4)
a < (x + 15)/x
Step-by-step explanation:
a(x + 3) < 5x + 15 - x
ax + 3a < 5x + 15 - x
ax - 5x + x < 15 - 3a
ax - 4x < 15 - 3a
x(a - 4) < 15 - 3a
Dividing both sides by (a - 4):
x < (15 - 3a) / (a - 4)
a < (x + 15)/x
CORRECT ANSWER WILL GET BRAINLIEST
ANSWER PLEASE
Answer:
B and C
Step-by-step explanation:
A is actually 5 so it is an integer and 0 is considered and integer.
If -10x = 5 what is the value of x
Answer:
x = -1/2
Step-by-step explanation:
-10x = 5
Divide both sides by -10.
x = -1/2
Pleeeeease help
For each set of figures, show how the green colored tiles in the border can be grouped to allow for quick calculation. Each set of figures has two figures of different sizes for you to work with; use a different grouping method on each and provide a mathematical expression that connects with your grouping method.
The sequence or object patterns can be used to find exact values when the level of the pattern increases or decrease
The mathematical expression that connects the number of tiles and the grouping method is presented as follows;
tₙ = 9 + (n - 1)× 3
Reason:
Known parameter:
From the given diagram, we have that the number of green tiles = 18
Question: The missing parts of the question are;
Grouping method 1 having 15 green colored tiles with Figure size 3
We have;
Grouping method 1
The figure size number of the shape with 15 green colored tiles = 3
Grouping method 2, figure size 4
The figure size number of the shape with 18 green colored tiles = 4
By examination, we get;
The size number of the shape with 12 green colored tiles = 2
The size number of the shape with 9 green colored tiles = 1
Therefore the sequence is an arithmetic progression having the following characteristics;
nth term, tₙ = a + (n - 1)·d
The first term, a = 9
The common difference, d = 3
The mathematical expression that connects the grouping methods above, and gives the number of green tiles, tₙ, is tₙ = 9 + (n - 1)× 3
Where;
n = The grouping method number
For easy calculation;
The number of green tiles is given by the equation, tₙ = 9 + (n - 1)× 3
Learn more about number sequence here:
https://brainly.com/question/12474324
On a recent math test. Samantha scored 3 points for each of the 18 multiple choice que non se
answered correctly and 5 points for each of the 6 short response questions she answered correctly
She scored an additional 4 points for the bonus question. Write an expression for her total score on
the test and then find her score.
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points :
From the question given, we are told that Samantha scored 3 points for each of 18multiple questions his means that the total points made here is expressed as:
(3 × 18) ...1
If she got 5 points for each of the 6 short responsmultiple choice questione questions she answered
correctly, the total point made will be expressed as;
(5×6) ... 2
Total score for an additional 4 points for the bonus question will be "4"
Expression for her total score will be the sum of all the expression above as thus:
(3×18) + (5×6) + 4
Taking the sum, her score will be:
= (3×18) + (5×6) + 4
= 54 + 30 + 4
= 84 + 4
= 88 points
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points
Learn more about sum here: brainly.com/question/16397188
Will give Brainly
Find the probability that a
randomly
selected point within the circle falls
in the red shaded area.
60°
60°
r= 4 cm
[? ]%
Round to the nearest tenth of a percent.
Answer:
mate....where is red shaded region....
probably this will help ..... ;)
find the probability that a randomly selected point within the circle falls in the red shaded area
https://brainly.com/question/14113463?utm_source=android&utm_medium=share&utm_campaign=question
Please what is the solution for the question above.......
Please I need it Urgently.
Also Please answer for me to gain points
Answer:
A
Step-by-step explanation:
simple interest (I) is calculated as
I = [tex]\frac{PRT}{100}[/tex]
P is the principal. R the rate of interest and T the time in years
Here P = 880000, R = 3.5 and T = 2.5 , then
I = [tex]\frac{880000(3.5)(2.5)}{100}[/tex]
= 8800 × 3.5 × 2.5
= 77000 → A
The tables show how the dollar to euro conversion rate changed during one day.
Khalil changed $500 into euros (£).
How many more euros did Khalil receive if he changed his money at the highest rate compared to the lowest rate?
Answer:
£10.1
Step-by-step explanation:
Highest exchange rate=1.3401
Lowest exchange rate=1.3199
The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1
What fraction can we use to rename 1/2 as tenths?
Answer:
5/10
Step-by-step explanation:
Hope it helped you
I am not confident, so feel free to give me less rating
Х
49°
X =
degrees
What do I do
Answer:
x = 139
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angle
x = 49 +90
x = 139
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex] \bf \large \implies \: x \: = \: 49 \degree \: + \: 90 \degree[/tex]
[tex] \bf \large \implies \: x \: = \: 139 \degree [/tex]
if the cost of 5 dozen of copies is rupees 60 what is the cost of 33 such copies
Answer: Rs 33
Step-by-step explanation:
Cost of 5 dozen copies = Rs 60
Total copies in 5 dozen = 5×12
= 60
Cost of each copy = 60/60
= Rs 1 per copy
Cost of 33 copies = 33×1
= Rs 33
Therefore cost of 33 such copies is Rs 33
please click thanks and mark brainliest if you like :)
Simplifying the equation below! Please help.
Answer:
that would be -11
Step-by-step explanation:
it is asking for the absolute value of -7-4 however absolute value is always positive once you solve that you have a negative symbol on the outside that turns ur answer negative
Answer:
- 3
Step-by-step explanation:
- | -7+4|
Determine inside the absolute value first
-7+4 = -3
Replace inside the absolute value
- |-3|
The absolute value means take the non negative value
|-3| =3
- 3
Help pleaseee, I’ll give brainly!
Answer:
1) 6r+7=13+7r —> 7r–6r=7–13 —> r = – 6
2) 13–4x=1–x —> 4x–x=13–1 —> 3x=12 —> x=12/3 —> x=4
3)–7x–3x+2=–8x–8 —> –8x+7x+3x=2+8 —> 2x=10 –> x= 10/2 –> x= 5
4)–8–x=x–4x —> –x–x+4x=8 —> 2X=8 —> x= 8/2 —> x= 4
5) –14+6b+7-2b=1+5b —> 5b +2b –6b = –14+7–1 —> b=–8
6) n+2=–14–n —> n+n=–14–2 —> 2n = –16 —> n = – 16/ 2 —> n = – 8
7) n – 3n = 14 –4n —> n –3n + 4n = 14 —> 2n = 14 —> n = 14/ 2 —> n = 7
8) 7a – 3 = 3 + 6a —> 7a – 6a = 3 + 3 —> a = 6
9) 3(1–3x ) =2(–4x+7) —> 3 –9x = –8x+14 —> 9x–8x = 3–14 —> x = –11
10) –10 +x+4–5 =7x –5 —> 7x–x = –10+4–5 +5 —> 6x = –6 —> x= –6/6 —> x = –1
11) –8n +4(1+5n)=–6n–14 —> –8n +4 + 20n = – 6n– 14
20n –8n +6n= –14 –4 —> 18n = – 18 —> n = –18/18 —> n = –1
12) –6n–20=–2n +4(1–3n) —> –6n –20 = – 2n +4 –12n —> 12n +2n –6n = 4 +20 —> 8n =24 —> n = 24/8 —> n =3
I hope I helped you^_^
Answer:
1.
6r + 7 = 13 +7r
6r - 7r = 13-7
-r = 6
r = 6
2.
13 - 4x = 1-x
-4x +x = 1 -13
-3x = -12
x = -12 / -3
x = 4
3.
-7x - 3x + 2 = -8x -8
-10x +2 = -8x -8
-10x +8x = -8 -2
-2x = -6
x = -6 / -2
x = 3
4.
-8 - x = x- 4x
-8 - x = -3x
-x + 3x = -8
2x = -8
x = -8 / 2
x = -4
5.
-14 + 6b + 7 -2b = 1 + 5b
-7 + 4b = 1 + 5b
4b - 5b = 1 + 7
-b = 8
b = -8
6.
n + 2 = -14 -n
n + n = -14 -2
2n = - 16
n = -16 / 2
n = -8
7.
n - 3n = 14 -4n
-2n = 14 - 4n
-2n +4n = 14
2n = 14
n = 14 /2
n = 7
8.
7a - 3 = 3 + 6a
7a - 6a = 3 +3
a = 6
9.
3 ( 1 - 3x ) = 2 (-4x + 7)
3 - 9x = -8x +14
-9x +8x = 14 - 3
-x = 11
x = -11
10.
-10 + x + 4 - 5 = 7x - 5
-10 +x -1 = 7x - 5
-11 + x = 7x - 5
-11 + 5 = 7x -x
-6 = 6x
x = -6/6
x = -1
11.
-8n + 4 ( 1 + 5n ) = -6n -14
-8n + 4 + 20n = -6n -14
12n +4 = -6n -14
12n + 6n = -14 -4
18n = -18
n = -18/18
n = -1
12.
-6n - 20 = -2n + 4 ( 1 - 3n)
-6n - 20 = -2n + 4 - 12n
-6n - 20 = -14n +4
-20 -4 = -14n +6n
-24 = 8n
n = -24/8
n = -3
I need help ASAP!!Please help me Find missing angle
Answer:
15.35888558
Step-by-step explanation:
is the answer
cos-¹(27/28)
Answer:
75 degrees
Step-by-step explanation:
law of sinus :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides are always opposite to the used angles.
so,
28/sin(90) = 27/sin(angle)
28/1 = 28 = 27/sin(angle)
28×sin(angle) = 27
sin(angle) = 27/28 ≈ 0.96
angle ≈ 75 degrees
Can someone do this for me please
Answer:
p=5/8
Step-by-step explanation:
you first have to work out the brackets
5p+7=3(4-p)
5p+7=12-3p
then you have to group the like terms
5p+3p=12-7
8p=5
8p/8=5/8
p=5/8
you can also live it as a decimal
I hope this helps
Answer: p = 5/8
Explanation:
⇒5p + 7 = 3(4 -p)
⇒5p + 7 = 12 - 3p
⇒5p + 3p = 12 - 7
⇒8p = 5
⇒p = 5/8
Must click thanks and mark brainliest
y - (-2) = 2/3( x - 1) divide each side by 3/3
first simplify the equation and then divide by 3/3 it will give you the correct answer.
hope it helps...
Step-by-step explanation:
[tex]y - ( - 2) = \frac{2}{3} (x - 1) \\ \\ y + 2 = \frac{2}{3} (x - 1) \\ dividing \: each \: side \: by \: \frac{3}{3} \\ \\ \frac{3}{3} (y + 2) = \frac{2}{3} \times \frac{3}{3} (x - 1) \\ \\ y + 2 = 2 \times 3(x - 1) \\ y + 2 = 6(x - 1) \\ y + 2 = 6x - 6 \\ y = 6x - 6 - 2 \\ y = 6x - 8[/tex]
ILL GIVE BRAINLIEST!!!!!
write a subtraction number line model. -10 -8 -6 -4 -2 0 2 4 6 8 10
Answer:
blue line 0-(3)=-3
Red line -3-(6)=-9
Quad DEFG with mZD= (12x - 4),
mZE = (18x + 4)ºmZF = (15x + 10), and
m2G= (5x)
What is the value of x?
Answer: x = 7°
Explanation:
We know that sum of angles of a quadilateral is = 360°
Therefore ATQ
⇒ (12x-4)+(18x+4)+(15x+10)+(5x) = 360
⇒ (12x + 18x + 15x + 5x) + (-4+4+10) = 360
⇒ 50x + 10 = 360
⇒ 50x = 360-10
⇒ 50x = 350
⇒ x = 350/50
⇒ x = 7
Therefore value of x is 7°
Must click thanks and mark brainliest
please help me !! :)
Answer:
a is the correct answer for f(x
Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?
Answer:
its easy as making a cake
Step-by-step explanation:
always remember that
volume of a rectangular prism = area of the base x depth
AND
volume = 72
depth. = 3
it means we have to multiply 72 with 3
so we get
72 x 3 = 216
it means that the volume of the swimming pool is 216.
hope it helps you
have a nice day dear
Please help explanation if possible
Answer:
(x,y) —> (–1 ,1)
I hope I helped you ^_^
what is the slope of the line? please help
Answer:
Here, we see that the slope (m) equals -1.
Step-by-step explanation:
m=Rise/Run
-2/2=-1
Hope it helps:)
Help please!!! thx...
[tex]\\ \sf\longmapsto cos\theta=\dfrac{3}{\sqrt{13}}[/tex]
We know
[tex]\boxed{\sf sin^2\theta=1-cos^2\theta}[/tex]
[tex]\\ \sf\longmapsto \sin( \theta) = \sqrt{1 - { \cos}^{2} \theta } \\ \\ \sf\longmapsto \sqrt{1 - {( \frac{3}{ \sqrt{13} }) }^{2} } \\ \\ \sf\longmapsto \sqrt{1- \frac{ {3}^{2} }{ {( \sqrt{13)} }^{2} } } \\ \\ \sf\longmapsto \sqrt{1 - \frac{9}{13} } \\ \\ \sf\longmapsto \sqrt{\frac{13 - 9}{13} } \\ \\ \sf\longmapsto \sqrt{ \frac{4}{13} } \\ \\ \sf\longmapsto \frac{2}{ \sqrt{13} } [/tex]