Answer:
[tex]b_1 \approx 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
Step-by-step explanation:
Given
[tex]Area = 65cm^2[/tex] --- Area of the triangle
[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid
The missing parameters is:
[tex]h=6 cm[/tex] --- Trapezoid height
Required
Determine b1 and b2
Since the areas of the trapezoid and the triangle are the same, then:
[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]
So, we have:
[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]
Substitute[tex]b_2 = 2b_1[/tex]
[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]
[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]
[tex]65 = 3b_1 * 3[/tex]
[tex]65 = 9b_1[/tex]
Solve for [tex]b_1[/tex]
[tex]b_1 = \frac{65}{9}[/tex]
[tex]b_1 \approx 7.2[/tex]
Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]
[tex]b_2 \approx 2 * 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
ect
Use the number line interactive to evaluate the
following expressions.
8 + 3 =
+
16
(-8) + (-5) =
<
(-8) + 2 =
Answer:
1. 11
2. -13
3. -6
Step-by-step explanation:
Hope this helps. Have a great day! (I got this correct on edge :})
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
hi
Step-by-step explanation:
hope it helps
have a nice day
Answer:
3.14, 5.8, 0.3, negative 2
Step-by-step explanation:
3.14 is found bn 2 and 3 but very close to 3 u can just take 3.1 and for 5.8 it's bn 5 and 6 very close to 6 but not six , and we'll negative 2 is right on negative 2
Find the Area of the composite figure below:
Answer:
24
Step-by-step explanation:
added all the sides hope this helps
From Monday through Friday Sydney works in the bookstore on one day and in the tutoring center where on another doing on Saturday and Sunday Sydney cooks food 50% of the days how many days does Sidney work in a week what percent of Monday through Friday does Sidney work
Answer: The other 50%
Step-by-step explanation:
Choose the correct answer.
Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
%
answer:
Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
45 %
The percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%
How to determine the change in the rates?From the chart (table), we have the following rates in Germany:
Rate in 1970 = 27.42Rate in 1976 = 39.74The percentage change is then calculated using:
Percentage change= (Final - Initial)/Initial * 100%
This gives
Percentage change= (39.74 - 27.42)/27.42* 100%
Evaluate the quotient
Percentage change= 0.45* 100%
Evaluate the product
Percentage change= 45%
Hence, the percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%
Read more about percentage change at:
https://brainly.com/question/978738
Two square posters are hanging on a wall. The large poster has an area of 144 square units, and the small poster has an area of 100 square units. How much bigger is the perimeter of the large poster than the perimeter of the small poster?
Answer:
8
Step-by-step explanation:
If you do the math with the area to find out the perimeter, and you will find the largest one to be the poster with the area of 144 , and the smaller one to be the one with the area of 100
Answer:
Length= squre root of area
Length of big poster = squre root of 144
=12
Length of small poster=squre root of 100
=10
The perimeter = 4*length
Big poster perimeter=4*12=48
Small poster perimeter =4*10=40
The difference= 48 - 40 = 8
It is bigger by 8
What is the median for the following data set? 5,7,9,11,13,13
A. 10
B. 8
C. 9
D. 11
Please help me out you can just give me the answer! PLEASE AND THANK YOU!
Answer:
(Disclaimer: all digits in the answers are in the measuring unit degrees)
1) 15
2) 16
3) 46
4) 59.
Step-by-step explanation:
The first one is said to add up to 89, so you have to do 89 subtract 44 and 30 as they are told. That = 15
The second one is a right angle, meaning it adds up to 90. You do 90 - 74 as that is the value told. That = 16
Angles on a straight line = 180 so you have to do 180 - 134 as that is the value told. This = 46
This is 54 as opposing angles on two lines are =. That means this = 59 too.
please tell me where to plot the points and what the solution will be.
Write an equation for this word
sentence: one third of a number
equals 9.
Hurry plsss
Answer:I believe D
Step-by-step explanation: Hope you get it right
Use the data from the dot plot below to answer the question.
How many students from this data sample have three siblings?
A. Three students have three siblings
B. One student has three siblings
C. Four students have three siblings
D. Two students have three siblings
how do you solve this ?
Answer:
x = 37 mm
Step-by-step explanation:
using the Pythagorean theorem:
m² = 13² - 5² = 169 - 25 = 144
m = √144 = 12 mm
x² = 12² + 35² = 144 + 1225 = 1369
x = √1369 = 37 mm
Answer:
x=37.3
Step-by-step explanation:
Since we're looking for "x" we need to use "the Pythagorean theorem".
13mm will be our "A" and 35mm will be our "B" will "x" being the hypotenuse.
Since x is the hypotenuse, it needs to be a number greater than 13 and 35.
c=√(a² + b²)
Making it c=√(13² + 35²)
Making C=37.336 or 37.3
Therefore making, x=37.3
A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphere that can be packed inside the cube shaped box? Give you answer rounded to the nearest whole cubic inch
Answer:
6283 in³
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3
= 4πL³/8 × 3
= πL³/2 × 3
= πL³/6
= πV/6
= π12000/6
= 2000π
= 6283.19 in³
≅ 6283.2 in³
= 6283 in³ to the nearest whole cubic inch
2. Find mzR and mzS.
89°
R
157 T
Р
Answer:
m∠R = 123°
m∠S = 91°
Step-by-step explanation:
The measure of an inscribed angle is 1/2 the measure of the intercepted arc
m of arc QRS = 2 m∠P = 2(57) = 114
Now m of arc SPQ = 360 - 114 = 246
So, m∠R = 1/2(246) = 123
m of arc RSP = 2 m∠Q = 2(89) = 178
m of arc PQR = 360 - 178 = 182
m∠S = 1/2(182) = 91
Convert the time. Enter your answers in the boxes.
324 minutes =
hours,
minutes
Answer:
5 hours and 24 minutes
Step-by-step explanation:
sorry if im wrong
Answer:
5.4 hours
Step-by-step explanation:
I'm not 100 percent sure
hope this helped ;)
PLEASE HELP I DONT UNDERSTAND I WILL GIVE EXTRA POINTS IF ITS RIGHT!!!!!!!!!!!!
Answer:
10.7
Step-by-step explanation:
Hello There!
The image shown below shows the relationship between two chords formed inside of a circle
So the product of the lengths of the lines in the same chord is equal to the product of the other length of the chords lines if that makes sense
So basically 6 * 16 = 9 * x
we can now use this equation that was just made to solve for x
6 * 16 = 96
96 = 9x
*divide each side by 9*
96/9=10.66666667 *round to the nearest tenth* 10.7
9x/x
we're left with x = 10.7
An archer hits a target 50% of the time. Design and use a simulation to find the experimental probability that the archer hits the target exactly four of the next five times.
MARK AS BRAINLEST FOR THE CORRECT ANSWER
Given:
An archer hits a target 50% of the time.
To find:
The experimental probability that the archer hits the target exactly four of the next five times.
Solution:
It is given that an archer hits a target 50% of the time. It means the probability of hitting the target is
[tex]p=\dfrac{50}{100}[/tex]
[tex]p=0.5[/tex]
The probability of not hitting the target is
[tex]q=1-p[/tex]
[tex]q=1-0.5[/tex]
[tex]q=0.5[/tex]
Binomial distribution formula:
[tex]P(x=r)=^nC_rp^rq^{n-r}[/tex]
We need to find the probability that the archer hits the target exactly four of the next five times. So, [tex]n=5,r=4,p=0.5,q=0.5[/tex].
[tex]P(x=4)=^5C_4(0.5)^4(0.5)^{5-4}[/tex]
[tex]P(x=4)=\dfrac{5!}{4!(5-4)!}(0.5)^4(0.5)^{1}[/tex]
[tex]P(x=4)=5(0.5)^{5}[/tex]
[tex]P(x=4)=0.15625[/tex]
Therefore, the experimental probability that the archer hits the target exactly four of the next five times is 0.15625.
T=21and u =4 what is \sqrt(t+U)
Answer: 5
Step-by-step explanation: 21 + 4 = 25
square root of 25 = 5
Answer and Step-by-step explanation:
T = 21
U = 4
[tex]\sqrt{ 21 + 4} \\\\\\\sqrt{25} \\\\\\5[/tex]
5 is the answer to the expression.
#teamtrees #PAW (Plant And Water)
round 3.060 to the nearest whole number.
Answer:
3
Step-by-step explanation:
dude kinda obv that its 3
Answer:
answer would be 3
Step-by-step explanation:
A number of days, d, of sunshine is not 28.
Answer:
D<28
Step-by-step explanation:
The required inequality for the given situation can be, d > 28 or d < 28
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, write an inequality for the situation.
Situation :-
A number of days, d, of sunshine is not 28.
Here, the number of days is said to be not equal to 28, we are not given if is less or more,
It can be less or more than 28 but not 28
So, here we get two situations,
Either, the number of days, d, of sunshine is less than 28, or the number of days, d, of sunshine is more than 28.
If we write these situations, mathematically, the inequalities we will have, are :-
1) The number of days, d, of sunshine is less than 28 :-
d < 28
2) The number of days, d, of sunshine is more than 28 :-
d > 28
Therefore, the two inequalities, are :- d < 28 or d > 28
Hence, the required inequality for the given situation can be, d > 28 or d < 28
Learn more about Inequalities, click;
https://brainly.com/question/30228778
#SPJ2
The complete question is :-
Write an inequality for the situation.
A number of days, d, of sunshine is not 28 .
Helpppp please and ty
Answer:
-2, -1, 0, 1
Step-by-step explanation:
you hover over the stars
What is the surface area of the prism below?
A
216 ft2
B
312 ft2
C
432 ft2
D
10,800 ft2
PLEASE ANSWER THIS ASAP I WILL GIVE YOU 5 STARS AND BRAINLIEST
Answer:
1. d
2. c
3. b
4. f
5. a
6. e
Step-by-step explanation:
Good Luck
I NEED HELP
Please write the right answer
Your portfolio must include a minimum of the following five types of equations and solutions:
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable. Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend!
This is a total of 7 equations and solutions.
Answer:
1). (x - 4 = 13)
2). (r + 17 = 51)
3). (7/9x =28)
4). (2/3x = 2)
5). { 3(x-2) = -9 }
6). (x -1.75 = 8.85)
7). Natalie buys organic almonds priced at $77 from the grocery store. How much did
she pay the cashier, if she received $23 in change?
Step-by-step explanation:
1. add 4 on both sides and it will be x=17
2. subtract 17 on both sides and it will be x= 34
3. multiply 9/7 on both sides and it will be x= 257/7 then you divide 257 by 7 then the final answer will be x= 36
4. multiply 3/2 on both sides and it will be x=6/2 then you divide 6 from 2 and the finial answer will be x= 3
5. you will distribute 3 into x and 2 and you will be 3x-6=-9 then you will add 6 on both sides so you will get 3x=3 and then divide 3 on both side so you will get x=1
6. add 1.75 on both sides so x= 10.6
7. the equation will be 23 +x = 77 so first you will subtract 23 on both sides and x will equal 54 so Natalie paid $54
Answer:
i'm taking that test rn
Step-by-step explanation:
Please answer correctly! I will mark you Brainliest!
Answer:
d=18 feet
Step-by-step explanation:
The volume of a sphere is represented by the equation [tex]V=\frac{4}{3}\pi r[/tex]³, where r is the radius. If the volume is 972[tex]\pi[/tex],
[tex]972\pi =\frac{4}{3}\pi r[/tex]³
Divide [tex]\pi[/tex] from each side,
[tex]972=\frac{4}{3} r[/tex]³
Multiply each side by 3/4 to get rid of the fraction,
[tex]r[/tex]³[tex]=729[/tex]
Using the cube root, we find that 729 is actually a perfect cube.
[tex]r=9[/tex]
Now, the diameter is 2 times the radius, so
9×2=18
So, the measure of the diameter is 18 feet.
Fred kicks a ball with a force of 20n to George, who is 5m away. How much work was done to the ball
Answer:
100 Nm
Step-by-step explanation:
Work is said to be done when a force moves a body through a distance. This may be expressed as
work done = Force * distance
where
work done is measured in joules or Newton-meter
Force is measured in newtons and distance in meters
Substituting the given values,
Workdone = 20 * 5
= 100 Nm
= 100J
The area of a circular rose garden is 88
square meters.
What is the radius of the garden?
Answer:
c
Step-by-step explanation:
define isometric angle
Answer:
it's just a angle that is 3D
Step-by-step explanation:
Solve the system of equations using substitution
y=x+1
x+y = 7
what is the area of the figure below
Answer:
Step-by-step explanation:
this is sorta a thought process to figure this out. so think it thur with me. b/c they are saying that the line is the same length with the lines thur it... see them? so then that means that two sides of the right triangle are of a certain length so that means we know the base and length of the sides of a box, if we were to add the other right triangle to it.. see that?
so we can say that 6*7.5 = box and we'll have two total boxes, see that? the top portion of the parallelogram and the bottom are each a box .. but cut down the middle and put as two opposite parts of a triangle.
so
2*(6*7.5) = 90 [tex]in^{2}[/tex]
