Answer:
Step-by-step explanation:
length of the rectangle = 2.5 m
breadth of the rectangle = 1.6 m
Perimeter of rectangle = 2( l + b )
= 2 × 4.1
= 8.2 m
Hope this helps
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The altitude of a right square prism is of length 12 and its base has a side of length 8. What is the lateral surface area of this prism?
A. 484 units²
B. 48 units²
C. 192 units²
D. 384 units²
Answer:
D. 384 units²
Step-by-step explanation:
Hey there!
Well a right square prism's bases are squares meaning the area of the base is 64 units².
Meaning 128 "which is the sum of 64+64" needs to be taken out of the SA to find the LSA.
Now we only have 4 sides to find the area of,
h = 12
l/w = 8
A = (12*8) * 4
A = 96 * 4
LSA = 384 units²
Hope this helps :)
The lateral surface area of the given prism of length 12 and its base has a side of length 8 is 384 [tex]units^{2}[/tex]
What is Lateral surface area?The lateral surface area of an object is the total area of its sides excluding its top and the bottom.
What is a right square prism?A right square prism is a prism having four sides as rectangle and two sides as squares as its bases.
How to find the lateral surface area of right square prism?The lateral surface area of right square prism is equal to the area of the four rectangles only. So the formula is as follows:
Lateral surface area=4(length*breadth)
The altitude which is given to us of 12 will be the breadth of the rectangles and the length of base of 8 will be the length of the rectangles. So,
Lateral surface area of right prism=4(12*8)
=4*96
=384
Hence the lateral surface area of right prism of altitude of length 12 and base has a side of length 8 is 384[tex]units^{2}[/tex]
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please help me on this
Answer:
Option (3)
Step-by-step explanation:
If a point having coordinates of a point (x, y),
If this point is rotated by an angle of 90 degrees clockwise about the origin then the coordinates of the image will follow the rule,
(x, y) → (y, -x)
If a point A is (3, -9) and this point is following the the same rule, new image point will be,
A(3, -9) → A'(-9, -3)
Option (3) will be the correct option.
Which exponential function is represented by the table below? x –2 0 2 4 y 16 4 1 14 A. 4⋅2x B. 14⋅4x C. 4⋅(12)x D. 4⋅(14)x
The exponential function represented by the table is given as follows:
[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex].
In which:
a is the initial value.b is the rate of change.Considering the table:
When x = 0, y = 4, hence a = 4.When x changes by 2, y changes by 1/4, hence b = 1/2.Then the equation is:
[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]
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if sin theta=1/root 3, then find the value of (tan theta + 1/cos theta)^2 + (tan theta - 1/cos theta)^2
Answer:
4
Step-by-step explanation:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}=\frac{1}{\sqrt{3} }\\ \\Therefore, opposite= 1, hypotenuse=\sqrt{3}. \ using \ Pythagoras:\\\\Hypotenuse^2=Adjacent^2+Opposite^2\\\\(\sqrt{3})^2 =Adjacent^2+1^2\\\\3=Adjacent^2+1\\\\Adjacent^2=3-1=2\\\\Adjacent=\sqrt{2}[/tex]
[tex]cos(\theta)=\frac{adjacent}{hypotenuse}=\frac{\sqrt{2} }{\sqrt{3}}\\ \\tan(\theta)=\frac{opposite}{adjacent } = \frac{1}{\sqrt{2}} \\\\Therefore:\\\\(tan(\theta)+\frac{1}{cos(\theta)})^2+ (tan(\theta)-\frac{1}{cos(\theta)})^2=( \frac{1}{\sqrt{2}}+\frac{1}{ \frac{\sqrt{2} }{\sqrt{3}}} )^2+( \frac{1}{\sqrt{2}}-\frac{1}{ \frac{\sqrt{2} }{\sqrt{3}}} )^2\\\\=( \frac{1}{\sqrt{2}}+ \frac{\sqrt{3} }{\sqrt{2}} )^2+( \frac{1}{\sqrt{2}}- \frac{\sqrt{3} }{\sqrt{2}} )^2[/tex]
[tex]=(\frac{1+\sqrt{3} }{\sqrt{2} } )^2+(\frac{1-\sqrt{3} }{\sqrt{2} } )^2=\frac{1+2\sqrt{3}+3 }{2} +\frac{1-2\sqrt{3}+3 }{2} =\frac{1+1+2\sqrt{3}-2\sqrt{3}+3+3 }{2} =\frac{8}{2}=4[/tex]
a recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt. The recipe can be scaled up to make multiple loaves of bread. Complete the table that shows the quantities to use for multiple loaves of bread.
Answer:
Step-by-step explanation:
A recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water and 1 teaspoon of salt.
Therefore, if we add 2 loaves of bread then double of ingredients will be required for the recipe.
In the same way if 4 loaves of bread have been added, 4 times ingredients will be required.
If 3 cups of flour are added then 3 times of other ingredients will be required.
So the table will be,
Number of loaves Cups of flour Tablespoons of water Teaspoons of salt
1 2 12 1
2 4 24 2
4 8 48 4
3 6 36 3
Put these in order from shortest to longest
Answer:
acb
Step-by-step explanation:
The side across from the smallest angle will always be the smallest side. Since 58 is the smallest angle measure, side a must be the smallest. This pattern continues with the other side and angle pairs.
Find the length of UT¯¯¯¯¯¯¯+CV¯¯¯¯¯¯¯¯. A. 53 B. 4x + 35 C. 65 D. 59
Answer:
UT + CV = 4x + 33
Step-by-step explanation:
Given:
TW = 14
WU = 2x + 2
VW = 2x + 5
WC = 12
Find:
UT + CV
Computation:
UT = TW + WU
UT = 14 + 2x + 2 = 16 + 2x
CV = VW + WC
CV = 2x + 5 + 12 = 2x + 17
UT + CV
16 + 2x + 2x + 17
UT + CV = 4x + 33
The shape of a dome can be modeled by the equation h=2dsquared +100 when h issue height (in feet) of the dome from the floor d feet from its center. How far from the center of the domes is the height 50 feet?
Given that,
The shape of a dome can be modeled by the equation :
[tex]h=2d^2+100[/tex] ....(1)
h is the height of the dome
d is distance from its center
We need to find the distance from the center of the dome if the height is 50 feet. Put h = 50 in equation (1)
[tex]50=2d^2+100\\\\2d^2=100-50\\\\2d^2=50\\\\d^2=25\\\\d=5\ \text{feet}[/tex], neglecting d = -5 feet (as height can't be negative)
So, at a distance of 5 feet from the center of domes the height is 50 feet.
4)
Jason is on a diet. His goal is to lose 5.9 pounds per month. How much weight will he have lost after 3.3 months?
Answer:
if he lost 5.9 in 3.3 months he we would lost weight.
5.9* 3.3 19.47lbs
Plzzz help me im having alot of trouble understanding this question does some one understand if you do plz help fast!!!
1/2 - 3(1/2 + 1)²
(1 + 1/3)² - 2/9
Answer:
1/2 - 3(1/2 + 1)²
simplify the expression (1/2 + 1)
1/2 - 3•(3/2)²
using PEMDAS, we see we have to evaluate the exponent first
(3/2)² = 9/4
rewrite the equation
1/2 - 3 • (9/4)
multiply 3 by (9/4)
1/2 - (27/4)
subtract
-25/4
(1 + 1/3)² - 2/9
simplify the expression (1 + 1/3)
(4/3)² - 2/9
using PEMDAS, we see we have to evaluate the exponent first
(4/3)² = 16/9
rewrite the equation
(16/9) - (2/9)
subtract
14/9
What is the ratios 15cm: 5m lowest term?
b. 2(3x - 5) = 2x + 6
Answer:
x = 4
Step-by-step explanation:
Given
2(3x - 5) = 2x + 6 ( divide both sides by 2 )
3x - 5 = x + 3 ( subtract x from both sides )
2x - 5 = 3 ( add 5 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Answer:
x = 4
Step-by-step explanation:
2(3x - 5) = 2x + 6
expand- 2(3x-5):6x+10
6x-10= 2x+6
Add 10 to both sides
6x-10+10=2x+6+10
simplify
6x=2x+16
subtract 2x from both sides
6x-2x=2x+16-2x
simplify
4x=16
divide both sides by 4
4x/4=16/4
x=4
Write the slope intercept form for a line that goes through the points (5,6) and
(6,9).
Answer:
[tex]\huge\boxed{Slope = 3}[/tex]
Step-by-step explanation:
The coordinates are (5,6) and (6,9)
Slope = Rise / run
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{9-6}{6-5}[/tex]
Slope = [tex]\frac{3}{1}[/tex]
Slope = 3
Answer:
[tex]slope = 3[/tex]
Hope this helps you
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I really need help with this problem, I don't know how to do it. Please help if you can.
2/3 +y =1/4
Answer:
see below
Step-by-step explanation:
2/3 +y =1/4
Subtract 2/3 from each side
2/3-2/3 +y =1/4-2/3
y = 1/4 -2/3
Get a common denominator
y = 1/4 (3/3) - 2/3 *4/4
= 3/12 - 8/12
=-5/12
or if
2/(y+3) = 1/4
Using cross products
y+3 = 2*4
y+3 = 8
y =8-3
y = 5
Answer:
y = -5/12
Step-by-step explanation:
2/3 + y = 1/4
y = 1/4 - 2/3
y = 3 - 8/ 12
y = -5/12
B=(5,6)is a set. From this set make all possible ordered pairs.
5,6 and6,5
Step-by-step explanation:
there is only two ordered pairs of 5,6that is itself and 6,5
Answer:
the two possible orders are 5,6 and 6, 5
In the expression 2x - 8 what is x referred to as?
1. coefficient
2. variable
3. constant
Which is NOT an equation?
1. 5 - 4x
2. 6x - 5 = 8
3. x/3 + 9 = -1
Answer:
Step-by-step explanation:
A) 2x - 8
x is called variable
Option 2
B) 5 - 4x is not a equation
Option 1
Consider a rectangle whose length, L, is 4 more than twice its width, w. a. Write an expression for L in terms of w. b. Show that the perimeter, P, is equal to = 6 + 8. c. Given the perimeter is 20, find the length and width of the rectangle using your answer to part b.
Answer:
Step-by-step explanation:
a)L=2w+4
b)P=2L+2w
sub L=2w+4,
P=2(2w+4)+2w
P=4w+8+2w
P=6w+8
c) 20=6w+8
12=6w
2=w
L=2(2)+4
=8
Hence,
L=8 and w=2
What constitutes a function
Answer:
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output...
how would i find y i need helppp
Answer:
C
Step-by-step explanation:
sin30° = y/6
sin30° = 1/2
y/6 = 1/2
y = 3
Please help me on this question
Answer:
2+7=9
450/9 = 50
2( 50) = 100 no concentrate
7(50) or 450 - 100 = 350 ml water
This agency preserves and promotes public confidence in the U.S. Financial system by insuring deposits in banks and thrift institutions for at least $250,000.
Rachel is making nachos for a party. The recipe calls for 2/3 cup of cheese for each plate of nachos. Part A: How many full plates of nachos can Rachel make with 5 cups of cheese? Part B: How many more cups of cheese would Rachel need to make 9 plates of nachos?
Part A:
We need to divide
5 ÷ 2/3
5/1 ÷ 2/3
5/1 * 3/2
15/2 or 7 1/2 plates of nachos.
Part B:
If Rachel can make 7 1/2 plates of nachos with 5 cups of cheese we need to multiply and subtract.
ma2/3 * 9 = 18/3 or 6 cups of cheese to make 9 plates
6 - 5 = 1 more cup of cheese she needs to make 9 plates
Best of Luck!
Gabe is mapping out important family events. He uses negative numbers to represent time before he was born and positive numbers to represent time after he was born. For example, Gabe's mom was given a special coin in year -20−20minus, 20, and Gabe's sister was born in year 555. What does year 000 represent? Choose 1 answer: Choose 1 answer:
Answer:
Year 0 is represent the year that Gabe was born
Step-by-step explanation:
Gabe is mapping out important family events. He uses negative numbers to represent time before he was born and positive numbers to represent time after he was born. For example, Gabe's mom was given a special coin in year -20, and Gabe's sister was born in year 5. What does year 0 represent?
Answer: Positive numbers represent things that happen after Gabe was born while negative numbers represent things that happened before Gabe was born. The first example in the question meant that Gabe's mom was given a special coin 20 years before he was born while the second example in the question meant that Gabe's sister was born 5 years after he was born.
Year 0 is represent the year that Gabe was born.
HELP ME Four students each wrote an equation. Which two students wrote equations that have no solution?
Answer:
Beto and Mark
Step-by-step explanation:
When you simplify Beto's equation, you get 0=5 which is inncorrect. 5 does not equal 0 so there are no solutions. When you simplify Mark's equation, you get 6=2 which is also inncorrect. 6 can not equal 2. If you solve the other 2 equations you get answers that can work.
Talia is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of 14 cubic feet. Will the poster lie flat in the box? Explain?
Answer:
Length of sides of poster = 2 Ft
Length of sides of box = 2.41 Ft
Since the box has a longer side than the poster, the poster will lie flat when placed in the box.
Step-by-step explanation:
In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:
Area of poster = 4 square feet
Area of poster = (Length)²
4 = (Length)²
∴ Length = √(4)
Length of poster = 2 Ft
Volume of box = 14 cubic feet
Volume of box = (Length)³
14 = (Length)³
∴ Length = ∛(14)
Length = 2.41 Ft
∴ Length of sides of poster = 2 Ft
Length of sides of box = 2.41 Ft
Since the box has a longer side than the poster, the poster will lie flat when placed in the box.
Which one is greater 10 squared or 22/7
Answer:
(22/7)²
576/49
is your answer hope it's help u
How many significant digits are in
17.090?
Answer: 4
Step-by-step explanation:
Answer:
there are 5 significant digits
Eduardo counted ten seconds (y) between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles (x) away. What is the equation of the variation?
Answer:
The equation for the variation is:
[tex]\frac{Miles}{thunder\,\,time } =0.2\,\frac{mi}{s}[/tex]
Step-by-step explanation:
The relationship is given by the quotient between the two variables: (1) distance of the storm, and (2) the number of seconds to hear the thunder. That is:
[tex]\frac{Miles}{thunder\,\,time } =\frac{2}{10} =0.2\,\frac{mi}{s}[/tex]
what value of x makes the equation true
2 (6x-1) = -38
Answer:
[tex] \boxed{\bold{\boxed{ \sf{x = - 3}}}}[/tex]Step-by-step explanation:
[tex] \sf{2(6x - 1) = - 38}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{12x - 2 = - 38}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{12x = - 38 + 2}[/tex]
Calculate
⇒[tex] \sf{12x = - 36}[/tex]
Divide both sides of the equation by 12
⇒[tex] \sf{ \frac{12x}{12} = \frac{ - 36}{12} }[/tex]
Calculate
⇒[tex] \sf{x = - 3}[/tex]
Hope I helped!
Best regards!!
Which of the following is not the same as 1.69 meters? 0.0169 km 0.169 dkm 169 cm 1,690 mm
Answer:
0.0169 km.
Step-by-step explanation:
km - kilometers (One kilometer is equal to 1000 meters.)
dkm - dekameters (One dekameter is equal to 10 meters.)
cm - centimeters (One centimeter is equal to 0.01 meters.)
mm - millimeters (One millimeter is equal to 0.1 meters.)
Used a calc to check each of the values to see if they equal 1.69m and km was the one that wasn't equal. Instead it was 16.9.
Answer:
1.69 meter
Step-by-step explanation: