Find the length of the second base of a trapezoid with one base measuring 18 feet, a height of 5.3 feet, and an area of 125.4 square feet.
Answer:
29.32 feet
Step-by-step explanation:
area of a trapezoid = height/2 * (first base + second base)
125.4 = 5.3 / 2 * (18 + second base)
125.4 = 2.65 * (18 + second base)
We want to solve for the second base. To do this, we can start by isolating the (18+second base) by dividing each side by 2.65
47.32 = 18 + second base
subtract 18 from both sides to solve for the second base
29.32 = second base
Two ships leave a harbor together traveling
on courses that have an angle of 128°
between them. If they each travel 543 miles,
how far apart are they (to the nearest mile)?
A) 976 mi
B) 476 mi
C) 42 mi
D) 1952 mi
Answer:
use cosine law
x^2 = 543^2 + 543^2 - 2(543)(543cos 128°
solve for x
Step-by-step explanation:
what is 3 1/3, 3.337,33/10,3.11 from least to greatest
Answer:
1/3 < 3 < 33/10 < 3.337 < 3.11
Step-by-step explanation:
Megan works at Amazon’s warehouse. She is responsible for packing boxes into trucks for shipment. Each truck can hold 22 boxes, and she needs to ship 539 boxes total.
Megan thinks she can fit all 539 boxes into 24 trucks. Is her estimate correct? Why or why not?
How many trucks will Megan need to pack all 539 boxes? (show work )
Answer: Her estimate is incorrect because she has to have 25 trucks to be able to ship all her boxes.
Step-by-step explanation: Divide 539 by 22 and if there is a remainder then you need to have one more because you cant take half a truck.
539/22=24.5. Since there is a remainder, you will need 25 trucks total
Valeria works in a law office. Her annual salary is $24,000. Valeria pays income tax at a rate of 15% on her earnings. How much income tax does Valeria pay?
A. $3,600
B. $1,200
C. $360
D. $12,000
Answer:
A.$3,600
Step-by-step explanation:
24,000*15% = 3600
or
24,000*0.15 = 3600
Answer:
A
Step-by-step explanation:
24000x15/100
You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a
Answer:
15 batteries
Step-by-step explanation:
a. We have
5 batteries = 3 days
5 batteries/3 days = 1
5 batteries/3 days
we need to convert this to 9 days, so
x amount of batteries = 9 days
x batteries / 9 days = 1
5 batteries / 3 days = x batteries / 9 days
b.
5 batteries / 3 days = x batteries / 9 days
multiply both sides by 9 days to get rid of the denominators as well as the days variable
5 batteries * 9 days / 3 days = x batteries
5 batteries * 3 = x batteries
15 batteries = x batteries
x = 15
The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let x be number of batteries required for 9 days trip.
a) So, the proportion is
3 : 5 :: 9 : x
b) Solve for x, that is
3x=45
⇒ x=15
Therefore, the number of batteries required for 9 days trip is 15.
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The lifespan of a monarch butterfly is about 9 months. Assuming a 30-day month, how many minutes old is the butterfly?
Answer:
So 9 months is 273 days and 394200 minutes so if the butterfly spends 30 days means one month so it is 43800 minutes old .
hope it gonna help you.
Step-by-step explanation:
Paul has 0.50$ in his pocket. What fraction of a dollar does he have
Answer:
1/2
Step-by-step explanation:
Answer:
Paul has 1/2 of a dollar.
Step-by-step explanation:
A haft of a dollar is 50 cents since 1 dollar is 100 cents so the fraction simplified would be 1/2 or 50/100.
a breakfast cereal advertizes that it has 5g of fibre in every 30g serving. How much fibre would someone receive if he or she ate a 50g serving of that cereal?
Answer:
8.33... grams of fiber
Step-by-step explanation:
The grams per serving is 5/30 or 1/6 or .166... or 16.66...%.
So Fiber = 16.66% * serving size or
F = 16.66 * 50 = 8.33...
There are 25 students in Mr. Detwikers 1st period class. If 76% of these students complete their homework last night. How many students did their homework?
FIRST CORRECT ANSWER GETS BRAINLIEST:
In the African nation of Niger, French is the official language, while in Nigeria, English is the official language. Why would these two countries have different official languages that are European In
origin?
They were colonized by different European countries
They are historically at war with one another.
They needed a lingua franca to be able to communicate.
Step-by-step explanation:
They needed a lingua franca to be able to communicate.
Solve the system using elimination.
x − 4y = 4
3x − 4y = −12
A. (−2,112)
B. (−8,−3)
C. (−8,9)
D. (−2,−112)
Answer:
B. (-3,-8)
Step-by-step explanation:
I have aced tests on these. You can trust this is correct - plus it's verified by a calculator.
Answer:
B
Step-by-step explanation:
x - 4y = 4 → (1)
3x - 4y = - 12 → (2)
Multiplying (1) by - 1 and adding to (2) will eliminate the y- term
- x + 4y = - 4 → (3)
Add (2) and (3) term by term to eliminate y
2x + 0 = - 16
2x = - 16 ( divide both sides by 2 )
x = - 8
Substitute x = - 8 into either of the 2 equations and solve for y
Substituting into (1)
- 8 - 4y = 4 ( add 8 to both sides )
- 4y = 12 ( divide both sides by - 4 )
y = - 3
solution is (- 8, - 3 ) → B
Jenny received a $30.50 gift card for a photo center. She used it to buy prints that cost 20 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following.
b=−30.50-0.20x
What is the remaining balance on the card if Jenny bought 30 prints?
The remaining balance on the card is $24.50.
The balance on the card after buying the prints is the value of the gift card less the total cost of the prints
Balance = value of the gift card - total cost of the prints
Total cost of the prints = cost per print x number of prints bought
0.20 x 30 = $6
Balance = $30.50 - $6 = $24.50
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how to simplify -5 1/4 - (-7 1/2
(hopefully I read this right)
-5 1/4 - (-7 1/2)
-5 1/4 - -7 1/2
-5 1/4 - -7 2/4
-21/4 - -30/4
-21/4 - -30/4 = 9/4 = 2 1/4
Hopefully I am correct!
Choose the best selection for the
quadrilateral with vertices at the
following points:
(0,0), (3,2), (6,0), (3,-2)
Hint: Start by graphing the points.
Distance Formula: d= V(x2-x1)2 + (y2 - y1)2
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid
The quadrilateral with vertices at the points: (0,0), (3,2), (6,0), (3,-2) is a square
The vertices (or coordinates) of the quadrilateral is given as:
[tex](x,y) = (0,0), (3,2), (6,0), (3,-2)[/tex]
Calculate the distance between subsequent points, using the following distance formula
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]AB = \sqrt{(0 -3)^2 + (0 -2)^2}[/tex]
[tex]AB = \sqrt{13}[/tex]
[tex]BC = \sqrt{(3 -6)^2 + (2 -0)^2}[/tex]
[tex]BC = \sqrt{13}[/tex]
[tex]CD = \sqrt{(6 -3)^2 + (0 --2)^2}[/tex]
[tex]CD = \sqrt{13}[/tex]
[tex]DA = \sqrt{(3 -0)^2 + (-2 -0)^2}[/tex]
[tex]DA = \sqrt{13}[/tex]
Notice that the sides of the quadrilateral are congruent.
Hence, the quadrilateral is a square
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Answer:
it's not a
Step-by-step explanation:
find the midpoint of the line segment joining the two points (-1,-1) and (-5,4)
Answer:
(-3, 1.5)
Step-by-step explanation:
equation: M = (x1+x2)/2 , (y1+y2)/2
So, plug it in.
(-1-5)/2 , (-1+4)/2
-3 , 1.5
so, x = -3 and y = 1.5
46. A sphere shaped bowl has a radius of 5.5 inches How much water can the bowl hold? Round to the nearest tenth.
Answer:
try 17.89 cm..then 18 for answer
f the family decides to fly, they know that they will need a rental car for at least part of their trip. Gabriela and Luis estimate a budget of $315
$
315
for rental car expenses. One rental car company charges $55
$
55
per day and $35
$
35
in taxes and fees. They also estimate that they will spend $15
$
15
per day on gas. Gabriela wrote the equation (55d+35)+15d=315
(
55
d
+
35
)
+
15
d
=
315
to determine the number of days the family can rent a car from this company.
How many days could the Morales family rent a car if they choose this rental car company with their estimated budget?
Answer:
4 days
Step-by-step explanation:
55d+35+15d=315
70d=315-35
70d=280
d=280/70
d=4
How many different types of triangles are there?
Draw and name the 4 different triangles.
Write the properties of each triangle.
Draw a circle and name the different parts of the circle.
Find the relationship between radius and diameter.
NO SPAM!
Answer:
Explanation :How many different types of triangles are there?
There are 6 types of triangles.
➝ Scalene Triangle➝ Isosceles Triangle➝ Equilateral Triangle➝ Acute Triangle➝ Obtuse Triangle➝ Right Triangle[tex]\begin{gathered}\end{gathered}[/tex]
Draw and name the 4 different triangles.
[tex]\green\implies[/tex] The diagram of 4 different triangles is in the given pic. So, please check out the attachment.
The name of four triangles are :
➝ Right angled triangle ➝ Isosceles triangle ➝ Equilateral triangle ➝ Scalene triangle[tex]\begin{gathered}\end{gathered}[/tex]
Write the properties of each triangle.
1. Acute-angled Triangle
[tex]\pink\implies[/tex] Each of the angles is below 90⁰, and the sum of those angles is always 180⁰.
2. Right-angled Triangle
[tex]\pink\implies[/tex] One side being 90⁰, the other angles have to be acute. It is because the addition of all internal angles always produce 180⁰.
3. Obtuse-angled Triangle
[tex]\pink\implies[/tex] Naturally, the other two angles have to be smaller than an obtuse angle. It is so that the internal sum of all the angles remains 180⁰.
4. Equilateral Triangle
[tex]\pink\implies[/tex] Since the internal angles add up to 180⁰, each angle has to be equal in an equilateral triangle. In this case, each angle of this triangle is 60⁰.
5. Isosceles Triangle
[tex]\pink\implies[/tex] Since two sides have the same length, the third side has to have a different length. On top of that, the angle of the other side is also dissimilar to the previous angles.
6. Scalene Triangle
[tex]\pink\implies[/tex] In this case, the lengths of the three sides are diverse. However, the sum of dissimilar internal angles also has to be 180⁰.
[tex]\begin{gathered}\end{gathered}[/tex]
Draw a circle and name the different parts of the circle.
[tex]\green\implies[/tex] The diagram of circle is in the given pic. So, please check out the attachment.
Parts of circle :
A circle can have different parts and based on the position and shape, these can be named as follows:
➝ Centre➝ Radius➝ Diameter➝ Circumference➝ Tangent➝ Secant➝ Chord ➝ Arc➝ Segment➝ Sector[tex]\begin{gathered}\end{gathered}[/tex]
Find the relationship between radius and diameter.
[tex]\pink\implies[/tex] The relationship between radius and diameter is the diameter of a circle is twice of its radius.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
9. GIVEN: y(x + 1) = 51; y = 3 PROVE: x = 16
Answer:
see explanation
Step-by-step explanation:
y(x + 1) = 51 ← substitute y = 3 into the equation
3(x + 1) = 51 ( divide both sides by 3 )
x + 1 = 17 ( subtract 1 from both sides )
x = 16
Given:
y(x + 1) = 51y = 3What to prove: x = 16
=> y(x + 1) = 51=> 3(x + 1) = 51=> 3x + 3 = 51=> 3x = 51 - 3=> 3x = 48=> x = 16Conclusion:We have now proved that x = 16.
Hoped this helped.
[tex]BrainiacUSer1357[/tex]
Can someone please take the time out of their day and help me with this question
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
[tex] \red {\mathbb{ \underline { \tt By \: using \: Pythagoras \: theorm}}}[/tex]
[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ x {}^{2} = (7 {}^{2} + 6 {}^{2} )ft {}^{2} \\ x {}^{2} = (49 +3 6)ft {}^{2} \\ x {}^{2} = 85 ft\\ x = \sqrt{85 } ft \\ [/tex]
the length of missing side= √85=9.2 ft
A line passes through (-5, -3) and is parallel to -3x - 7y = 10. The equation of the line in slope-intercept form is _____.
Answer: y = -(3/7)x - (36/7)
Step-by-step explanation:
Let's convert -3x - 7y = 10 to standard slope intercept form: y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
-3x - 7y = 10
-7y = 3x + 10
y = -(3/7)x - (10/7)
This line has a slope of -(3/7). Any line that is parallel will have the same slope, so we can write y = -(3/7)x + b to start our new line.
We want a value of b that forces the line to go trough point (-5,-3). Use this point in the partial equation and solve for b:
y = -(3/7)x + b
-3 = -(3/7)(-5) + b
-3 = (15/7) + b
b = -3 - (15/7)
b = -(21/7) - (15/7)
b = -(36/7), or -5 1/7
y = -(3/7)x - (36/7)
Lucy bought a desk on sale for $883. This price was 15% less than the original price.
the answer to the question is 898$
can someone please help me i need to show the working out too
Answer:
(1) x=15/2
(2) x=1
Step-by-step explanation:
(1) 4x−1 /2 =x+7
2x+ −1 /2 =x+7(Distribute)
2x+ −1 /2 =x+7
Step 2: Subtract x from both sides.
2x+ −1 /2 −x=x+7−x
x+ −1 /2 =7
Step 3: Add 1/2 to both sides.
x+ −1 /2 + 1 /2 =7+ 1 /2
x= 15 /2
(2) 3x+2=( 2x+13)/ 3
3x+2= 2 /3 x+ 13 /3 (Distribute)
3x+2= 2 /3 x+ 13 /3
Step 2: Subtract 2/3x from both sides.
3x+2− 2 /3 x= 2 /3 x+ 13 /3 − 2 /3 x
7 /3 x+2= 13 /3
Step 3: Subtract 2 from both sides.
7 /3 x+2−2= 13 /3 −2
7 /3 x= 7 /3
Step 4: Multiply both sides by 3/7.
( 3 /7 )*( 7 /3 x)=( 3 /7 )*( 7 /3 )
X=1
Mattie Evans drove 160 miles in the same amount of time that it took a turbo propeller plane to travel 920 miles. The speed of the plane was 190 mph faster than the speed of the car. Find the speed of the plane.
Answer:
Step-by-step explanation:
The speed of the plane was 291.13mph.
What is speed?Speed is distance travelled per unit time. It is scalar quantity
Given
The difference in distances was 600 miles; the difference in speeds was 190mph. That means the time was 600/190 = 3.16 hours.
Since the plane flew 920 miles in that time, its speed was 920/3.16 = 291.13mph.
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Please help me with this math problem!! :) NO LINKS PLEASE!!
Answer:
2 more
Step-by-step explanation:
you can only get 1 of everything 2 times
this is - the outfit she already made
3 - 1 = 2 - 1 = 1
7 - 1 = 6 - 1 = 5
4 - 1 = 3 - 1 = 2
2 - 1 = 1 - 1 = 0
PLZ HELP MEEEEE GIVEING BRAINLYEST
Answer:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
4
x
2
y
3
Step-by-step explanation:
Answer:
[tex]4x^3y^4[/tex]
Step-by-step explanation:
2. The area of a rectangle is 721 quare yards, M the length of the rectarije v fards, Wuch enpresion represent
the width of the rectangle in yards?
Answer:
721/M
Step-by-step explanation:
Length times width equals area so area (721) divided by length/width (M) = the corresponding length/width. (width)
A number more than 1.
Answer:
there is no more number than one
Step-by-step explanation:
EASY QUESTION! MARK BRAINLIEST!
if i pay $3.50 a month how much do i pay a year? :)))
Answer:
42
Step-by-step explanation:
3.50x12 = 42