Which expression represents the height of the triangular base of the pyramid? five-halves startroot 2 endrootunits five-halves startroot 3 endrootunits 5 startroot 2 endrootunits 5 startroot 3 endrootunits
Answers
The expression that represents the height of the triangular base of the pyramid is given by: Option B: (5/2)√3 untis
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
The question is incomplete, and the upper part of the completed question is:
"The base of a solid oblique pyramid is an equilateral triangle with an edge length of 5 units. A solid oblique pyramid has an equilateral triangle base with an edge length of 5 units. "
The diagram of the base of the considered pyramid is attached below.
The perpendicular from A to BC is touching BC at C, and is bisecting it (it can be proved).
Consider the triangle ADB. It is a right angled triangle.
We need the length of AD which represents the height of the triangle ABC.
This is obtained using Pythagoras theorem as:
[tex]|AB|^2 = |AD|^2 + |DB|^2\\\\|AD|^2 = |AB|^2 - |DB|^2\\\\|AD| = \sqrt{5^2 - \left( \dfrac{5}{2}\right)^2}[/tex]
(took positive root because of |AD| being length, which is a non-negative quantity).
SImplifying it, we get:
[tex]|AD| = \sqrt{5^2 - \left( \dfrac{5}{2}\right)^2}\\\\|AD| = \sqrt{\dfrac{5^2(4-1)}{4}} = \dfrac{5\sqrt{3}}{2} = \dfrac{5}{2} \times \sqrt{3} \: \rm units[/tex]
Thus, the expression that represents the height of the triangular base of the pyramid is given by: Option B: (5/2)√3 untis
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Related Questions
A balloon with a small leak loses 1% of its volume each day. If it originally contained 40 liters of gas, what is the volume of the gas after one week (7 days)? Round your answer to the nearest tenth.
Answers
Answer:
37.2 liters
Step-by-step explanation:
1% of 40 is 0.4
0.4 * 7 = 2.8
40 - 2.8 = 37.2 liters
Hope this helped
HELPPPPPPPPPP
What is 0.036 written as a percentage?
A) 0.036%
B) 0.36%
C) 3.6%
D) 36%
Answers
Answer:
3.6%
Step-by-step explanation:
^
what is the value of "Y" to the "2nd" power minus "X" to the "2nd" power when "Y" = 6 and "X" =5
Answers
Answer:
11
Step-by-step explanation:
y^2 - x^2
y = 6, x = 5
6^2 - 5^2
When using exponets we multiply a number by itself as many times as the exponet says, so in this case we multiply 6 x 6 and 5 x 5
6 x 6 = 36 5 x 5 = 25
36 - 25 = 11
Hope this helps!
Please please help me
I will give brainly
five stars and a thanks
Answers
Pattern of the birds she saw:
7, 14, 21, 28
Continuation
35, 42, 49, 56, 63, 70.Could really use some help pls! It's due soon!
Answers
Draw a line on y=-2 and reflect the dot on the other side. The x doesn’t change, only y changes. So only option is (2,1).
Point x is located at ( 2,5)
When reflecting across the y axis the x value remains the same.
The reflection is at y -2, from -2 to the location of z (-5) is a difference of 3 units.
Add 3 to the reflection line -2 + 3 = 1 , the new y value would be 1.
the new location would be (2,1)
original cost $98 current cost $89 find the percent of decrease round to the nearest whole percent
Answers
Answer:
87.22 hopee helps
Step-by-step explanation:
Who developed the system of binomial nomenclature?.
Answers
Answer:
The Correct A nswer Is... Carl Linnaeus
Step-by-step explanation:
Pls pls pls help ill give you whatever :(
Answers
Answer:
[tex]y^{\frac{3}{7}}[/tex]
Step-by-step explanation:
[tex]\sqrt[7]{y^3}=y^{\frac{3}{7}}[/tex]
The root of the radical will become the denominator of the exponent fraction and the power of the radical will become the numerator of the exponent fraction
7 ---> is the root of the radical
3 is the power of the radical
jacks comfort cafe & bakery buys cheesecake for $8.00 and it marks up 36% what is his selling price
Answers
Answer:$10.88
Step-by-step explanation:
36/100 ×8= 2.88
Selling price is 8+2.88
Ralph’s annual expenses for the upcoming year are summarized in the chart below. based on the information in the graph, approximately what percent of his total annual income is ralph having withheld for taxes? a circle graph titled ralph's annual budget. federal taxes, 18,380 dollars; state taxes, 3,448 dollars; housing and household, 15,000 dollars; food, 4,880 dollars; medical care, 6,642 dollars; transportation, 4332 dollars; recreation, 3,500 dollars; clothing, 3,260 dollars; other, 1750 dollars. a. 6% b. 18% c. 30% d. 36%
Answers
The percentage of the annual budget withheld for taxes is 36%.
What is tax?
A compulsory contribution to state revenue, levied by the government on workers' income and business profits or added to the cost of some goods, services, and transactions.
The total budget of Ralph
The total budget of Ralph is calculated as follows;
T = 1,750 + 3,260 + 3,500 + 4,332 + 6,652 + 4,880 + 15,000 + 3,448 + 18,380
T = $61,202
Total tax on Ralph's annual budget
Tax = 3,448 + 18,380
Tax = $21,828
The percentage of the annual budget withheld for taxes is calculated as follows;
[tex]=\dfrac{Tax}{Total\ Budget}\times 100[/tex]
[tex]=\dfrac{21.82}{61.20}\times 100[/tex]
The percentage of the annual budget =36%
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Answer:
its D
Step-by-step explanation:
The two histograms show the points scored per game by a college basketball player in 2008 and 2016. What is a typical number of points per game scored by this player in 2008?explain your reasoning.
Write 2-3 sentences that describe the spreads of the two distributions, including what spreads might tell us in this context
Answers
To determine the typical number of points per game in 2008 carefully observe the histogram and identify the number of points that the tallest bar represent.
What is a histogram?This is a type of graph that represents frequency by using bars.
How to identify the typical number of points?Considering the bars differ in height based on the frequencly, the best to identify the typical number of points is:
Identify the graph that represents the number of points during 2008.Look at the bars and identify the tallest one, as well as the number of points this represents.This would be considered the typical nubmer of points or the most common number of points.Note: This questions is incomplete because the histograms were not attached. Due to this, the answer is based on general knowledge.
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Which statements about the graph of the function f(x) = –x2 – 4x 2 are true? select three options. the domain is {x|x ≤ –2}. the range is {y|y ≤ 6}. the function is increasing over the interval (–[infinity] , –2). the function is decreasing over the interval (−4, [infinity]). the function has a positive y-intercept.
Answers
The graph of the function f(x) = –x^2 – 4x +2 are true options 1 and 4 are correct.
We have the given,
The graph of the function f(x) = –x^2 – 4x+ 2
The statements that agree with the graph of the equation are as follows:
1. The domain is {x|x ≤ –2}.
What is the domain?The set of points at which function is defined.
4. The function is decreasing over the interval (−4, ∞).
From the given graph,
We can say that the above statements are true.
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Answer:
yes
Step-by-step explanation:
please help with this question
Answers
the top being 9mm x 13mm = 117mm^2
the middle being 2mm x 11mm = 22mm^2
the bottom being 4mm x 6mm = 24mm^2
and add them up
For a total of 163mm^2
Olivia grows onions. She has 9 onions in each row of her garden. Her garden has 5 rows. Today she harvested 7 onions. How many onions are left growing in her garden?
Answers
If the height is 6 cm, what is the volume of the pyramid? 24 cm3 48 cm3 128 cm3 144 cm3
Answers
The volume of the pyramid would be 128 cm^3.
find surface area for a rectangular prism
Answers
Answer:
the surface are is 34.64
Step-by-step explanation:
7 12 10 15 13. what is the pattern.
Answers
It is plus five, minus two (repeated)
The pattern is +5 then -2 alternatively .
What is pattern?A pattern is a repeated arrangement of numbers, shapes, colors and so on. The Pattern can be related to any type of event or object. If the set of numbers are related to each other in a specific rule, then the rule or manner is called a pattern. Sometimes, patterns are also known as a sequence.
According to question
7 12 10 15 13 .........
The pattern in the series is
7+5 = 12
12-2 = 10
10+5=15
15-2= 13 .....................
Hence, the pattern is +5 then -2 alternatively .
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# SPJ2
Find the value of x in
2x + 3x = 20+x
Answers
Hey there!
2x + 3x = 20 + x
5x = 20 + x
20 + x = 5x
SUBTRACT x to BOTH SIDES
5x - x = 20x + x - x
5x - 1x = 20x + 1x - 1x
SIMPLIFY IT!
4x = 20
DIVIDE 4 to BOTH SIDES
4x/4 = 20/4
SIMPLIFY IT!
x = 20/4
x = 5
Therefore, your answer is: x = 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
someone please help me with this
Answers
Answer:
a) 8/11 x 5/3
b) It will be positive. When we have an even number of negatives, the result will be positive ( (-) + (-) = +).
Step-by-step explanation:
a) -8/11 / -3/5
1) -8/11 ÷ (-3/5)
Write the complex fraction as a division expression. Use parentheses because our second fraction is a negative.
2) 8/11 ÷ 3/5
When we have an even number of negatives, the result will be positive ( (-) + (-) = +).
3) 8/11 x 5/3
Dividing is the same as multiplying the second part of the fraction flipped.
4) 40/33
Multiply them: 8 x 5 / 11 x 3
Since the question wants you to write as a multiplication expression, this is the answer:
8/11 x 5/3.
Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
Answers
Answer:
36°
Step-by-step explanation:
A triangle'a angle must add up to 180.
So 97+47=144
180-144= 36°
Answer:
36
Step-by-step explanation:
97 + 47 + x = 180
x = 180 - 144
x = 36
10. Sophia goes to an ice cream shop to get a medium ice cream that costs
$4.50. Sophia only has $6.40 and toppings are $0.75 each. Write an
inequality to find how many toppings Sophia can get. *
Answers
Answer:
$2.10
Step-by-step explanation:
A basket contains 3 oranges and 7 apples.
Two pieces of fruit are selected at random, with replacement.
Find the probability that an orange is selected both times.
Answers
Answer:3/10
Step-by-step explanation:No matter what you have 3 oranges so regardless there will be a 30% chance.
The chance of picking an orange is 3/10, and since you’re picking twice with replacement this is represented as 3/10 * 3/10 = 9/100
9/100 or 9%
at what time do u have to get out of the house if your walking 32 min to school school starts at 8 opens at 7:40
Answers
Answer:
7:10 or 7:20
Step-by-step explanation:
it allows time for the doors to open and time to get to class
im so lost im in algebra 1 and i feel so slow
Answers
Answer:
Hey but you get better at in no time lol
Step-by-step explanation:
no need to worry
Figure B is a scale image of Figure A, as shown. Enter the scale factor applied to Figure A to produce Figure B: figure A, 3 2 4 and Figure B, 6 4 10
Answers
Answer:
Figure A: 3, 4, 5
3 x 2 = 6
4 x 2 = 8
5 x 2 = 10
Figure B: 6, 8, 10
So the scale factor applied to Figure A to produce Figure B is 2
Are you picky about the toilet paper you buy? James is! To investigate the absorbency power of his favorite
brand of toilet paper, he went to the store and randomly selected (and purchased) 18 single rolls. He then
poured 1/4 cup of water onto a hard surface and counted how many individual squares of toilet paper it took
to completely absorb the water. Here are the results from his 18 rolls:
29
29
20
24
25 29 21
27 28 21
24 27 25 24
25 26 22 23
(a) Is there convincing evidence at the a= 0. 05 significance level that this brand of toilet paper will
require less than 26 squares to absorb 1/4 cup of water?
(b) Referring to your conclusion, what type of error may have been made? Describe the error in the
context of this study.
Answers
There's no convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares.
What is a significance level?A significance level simply means is the probability that an event has occured by chance.
In this case, there's convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares to absorb 1/4 cup of water. Therefore, we fail to reject the null hypothesis.
A type of error that may have been made is type II error. This is the non rejection if the null hypothesis when it's false.
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PLS HELP 25 POINTS
X х These line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night. X x X X X X + X + 3 1 2 4 5 6 7 8 9 10 Boys Select from the drop-down menus to complete each statement. X X X X X xxx X х X xx+ co + 1 2 3 4 5 6 7 8 9 10
The range Girls Choose
The mean Choose.
Answers
Answer:
RangeThe range of the data is the difference between the largest data value and the smallest data value.
Therefore, the ranges are:
Boys: 10 - 3 = 7
Girls: 9 - 5 = 4
So the boys have a larger range than the girls.
MeanTo calculate the mean, add up all the data values then divide by the number of values.
[tex]\textsf{Mean of Boys}=\dfrac{3+6+7+7+8+8+8+8+9+10}{10}=\dfrac{74}{10}=7.4[/tex]
[tex]\textsf{Mean of Girls}=\dfrac{5+6+6+6+7+7+7+8+8+9}{10}=\dfrac{69}{10}=6.9[/tex]
So the boys have a higher mean than the girls.
I need help with my math problem pls
Answers
which graph represents the inequality y < 2x +3 correctly
Answers
Answer:
im not sure , sorry
Step-by-step explanation:
Answer:
Option C
Step-by-step explanation:
Graphing inequality:
1) First plot y = 2x + 3 as a dotted line as y is less than x
Put x = 0, y = 2*0 +3 = 0 + 3 = 3 ⇒ (0, 3)
Put x = 1 , y = 2*1 + 3 = 2 +3 = 5 ⇒(1 , 5)
Put x = -1, y =2*(-1)+3 ⇒ -2+3 = 1 ⇒ (-1,1)
Mark these three points, and draw a dotted line.
2) Shade the area bellow the dotted line as y < 2x + 3
Check: take a point in the shaded area. (1 , -1)
-1 < 2*1 + 3
-1 < 2 +3
-1 < 5
The condition is satisfied.
probably not hard but im not smart <3
Answers
Answer:
3x^5 y^2
Step-by-step explanation: