What is the value of x in the circle on the right?
Exercise 5<br />Part 1<br />Calculate by justifying the measurement of angles: CAD and CDA<br />B<br />45<br />432<br />35.35<br />Part 2<br />1) give the value of BD 92<br />2) show that AD = V50<br />3) show that AC = 50<br />3) calculate the exact value of CD<br />30<br />Part 3<br />Check that x is the difference between the perimeters of triangles ABC and ABD<br />Part 4<br />1) Give the exact value of the area of ABD then that of ACD<br />2) Complete with the exact value then approximate: area of ABD =<br />X area of ACD
the area of a triangle is 12 cm squared. If the base of the triangle is 4 cm what is the height
Answer:
6 cm
Step-by-step explanation:
A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet
and the volume of each large box is 22 cubic feet. A total of 22 boxes of paper were
shipped with a combined volume of 324 cubic feet. Write a system of equations that
could be used to determine the number of small boxes shipped and the number of
large boxes shipped. Define the variables that you use to write the system.
Answer:
10 small boxes and 12 large boxes
Step-by-step explanation:
Let x = number of large boxes
Let y = number of small boxes
We are told that;
volume of each small box = 6 cubic feet
volume of each large box = 22 cubic feet.
Total volume = 324 ft³
Thus;
6x + 22y = 324 - - - (eq 1)
We are told that 22 boxes of paper were shipped.
Thus; x + y = 22 - - - (eq 2)
Making x the subject in eq 2 gives;
x = 22 - y
Put 22 - y for x in eq 1;
6(22 - y) + 22y = 324
132 - 6y + 22y = 324
16y = 324 - 132
16y = 192
y = 192/16
y = 12
So, x = 22 - 12 = 10
write this expression without grouping symbols.
-3x(2x+5)
Answer:
− 3 ( 2 + 5 )
Step-by-step explanation
Simplifica
Distribuye
− 3 ( 2 + 5 ) − 6 2 − 1 5
Solución
− 6 2 − 1 5
Sam is making a delivery to a store. The total trip will be 410 miles. He is driving at a constant rate of 65 miles per hour. He has already driven 20 miles. How much longer will it take him to get to the store?
Answer:
6 hours
Step-by-step explanation:
20 + 65x=410
65x=390
x=6
Select all the system of equations that have exactly one solution
A- y=2x+1
y=x+2
B- -x+10
-x+12
C- y=3x+1
y=3x+7
D- y=4x
y=x-6
Answer:D
Step-by-step explanation:
Please help! would really appreciate it.
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
Base² + altitude² = hypotenuse²
15² + altitude² = 17²
225 + altitude² = 289
altitude² = 289 - 225
altitude² = 64
altitude² = 8²
altitude = √8²
altitude = 8
P = 8 + 15 + 17 = 40 units
[tex]A= \frac{1}{2}*base * height\\\\ = \frac{1}{2}* 15 * 8\\\\= 15 * 4\\\\= 60 sq. units[/tex]
plz help me with these questions tomorrow is my exam and i need to practice them
Answer:
good luck !!!!!!!
hope this help for you !!!!!
39 mm 52 mm What is the length of the hypotenuse?
Answer:
65
Step-by-step explanation:
a^2 + b^2 = c^2
39^2 + 52^2 = c^2
1,521+2704 = c^2
4,225 = c^2
Find the square root of both
65 = c
I really need help on this one I
Answer:
60
Step-by-step explanation:
60
The area of a rhombus is 36 sq. cm. If its perimeter is 16cm, find its altitude.
Answer:
Perimeter of rhombus =4×l
16=4l
l=16/4=4
its length =4cm
area of rhombus=36cm²
base× height (here base=length)=36cm²
4h=36
h=36/4=9
:.altitude of rhombus is 9cm.
Dave buys a goat and sheep for a total price of £120 as is surprised to find that the goat was twice the price of the sheep..
He made twice as much profit on the sheep as he did on the goat having sold both for a combined price of £180.
What is the percentage profit on the sheep?
Answer:
Let's define:
G = cost of a goat
S = cost of a sheep.
We know that the total cost for a goat and a sheep is £120, then:
S + G = £120
And the cost of the goat is twice the price of the sheep, then:
G = 2*S
To solve this system, we can just replace the second equation into the first one, then we get:
S + (2*S) = £120
3*S = £120
S = £120/3 = £40
This means that each sheep costs £40
And the cost of a goat is:
G = 2* £40 = £80.
Now we know that he sold both of them, where:
s = price of the sheep
g = price of the goat.
We know that he sold both of them for £180, then:
s + g = £180
And the profit of the sheep is twice the profit of the goat, then:
(s - S) = 2*(g - G)
(s - £40) = 2*(g - £80)
s - £40 = 2*g - £160
Then we have a system of equations:
s + g = £180
s - £40 = 2*g - £160
To solve this, we first could isolate g in the first equation:
g = £180 - s
Replacing this in the other equation we get:
s - £40 = 2*( £180 - s) - £160
s - £40 = £360 - 2*s - £160
s - £40 = £200 - 2*s
s + 2*s = £200 - £40 = £160
3*s = £160
s = £160/3 = £53.33
Then the percentage profit for the sheep is:
percentage profit = (s/S)*100% = (£53.33/£40)*100% = 133.3%
Then the percentae profit is 33.3%, which means that the sheep was sold at 133.3% of its original cost, leaving a profit of 33.3% of its original cost.
convert 5 km into millimeters
Answer:
5000000mm
im smart
Answer:
5,000,000mm
Step-by-step explanation:
1km = 1000m
1 m = 100cm
1cm = 10 mm
5km = 5000m
5000m = 500,000cm
500,000cm = 5,000,000mm
work out the gradient of a line which has a gradient of 2 and passes through the point (1,4).
Which line is tangent?
how much simple interest is earned on 3,500 in 3 1/2 years interest rate of 1.5%
Answer:
Loan amount
3,000
$
Interest
1.5
%
Payment
45
$
/
per year
Step-by-step explanation:
please help me this is all my grade!!!!
A meteorologist reports that the temperature today will be colder than −1° Fahrenheit. The inequality is t < −1. The variable t represents the temperature.
A number line going from negative 2 to positive 2.
Which numbers are solutions of the inequality? Choose all that apply.
–2
0
1
–10
–3
–1
Answer:
its 145
Step-by-step explanation:
Answer:
D: –10
Step-by-step explanation:
edge2020
A roller coaster is at the top of a 72 m hill and weighs 134 kg. The coaster (at this moment) has____________ energy. Calculate it.
A. Kinetic Energy and 347,328J
B. Kinetic Energy and 9,648J
C. Potential Energy and 9,648J
D. Potential Energy and 94,550.4J
Answer:C
Step-by-step explenation: m=134kg,h=72m,g=10m/s
PE=mgh
PE=(134kg)(10m/s^2)(72m)
PE=964800J
LAST QUESTION PLS HELP. (It's not solve for x)
Answer:
40
Step-by-step explanation:
So, if the angle shown, one of them is 70. the other is 110, because line is 180 degress, 180-70 = 110. C is 110. But, we need to find B. 13x + 6 must also be 70 degrees. 70-6 = 64. 64/13 = about 5. A is 100. The inner angles are 70+70+N. Angles in triangle are 180, so N is 180-70-70, which is 180-140. The B is 40 degrees.
Answer:
m∠ABC = 26°
Step-by-step explanation:
13x+6 + 8+3x + 70 = 180
16x + 84 = 180
16x = 96
x = 6
m∠B = 8+3(6) = 26°
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
Find the value of the expression below for x=3
x^2+5
Answer: 14
Step-by-step explanation: 3 to the second is 3 twice EX. 3x3=9, 9+5=14
Answer: x= −5 /2 + 1 /2 √37 or x= −5 /2 + −1 /2 √37
Step-by-step explanation:
Step 1: Subtract 3 from both sides.
x2+5x−3=3−3
x2+5x−3=0
For this equation: a=1, b=5, c=-3
1x2+5x+−3=0
Step 2: Use quadratic formula with a=1, b=5, c=-3.
x= −b±√b2−4ac /2a
x=
−(5)±√(5)2−4(1)(−3) /2(1)
x= −5±√37 /2
x= −5 /2 + 1 /2 √37 or x= −5 /2 + −1 /2 √37
what is the slope between (5,0) and (6,0)
Answer:
m=0
Step-by-step explanation:
a = 5bc
b = -4 and c = -3
Work out the value of a.
Step-by-step explanation:
a=5*-4*-3
a=-2
hope this helps
18% as a fraction in its simplest form
Answer:
9/50
Step-by-step explanation:
18% = 18/100
GCF of 18 and 100 = 2
(18 ÷ 2)/(100 ÷ 2)
9/(100 ÷ 2)
9/50
A farmer is painting his silo. A typical can of paint covers 400 squared meters. How many cans of paint will the farmer need to buy in order to paint the entire exterior of the silo?
Answer:
about 13 cans of paint
Step-by-step explanation:
To find how many cans the farmer needs to buy, you need to know the surface area of both the cone and cylinder.
The way to find the SA of the cone would be area = 3.14 x r^2 + 3.14 x r x sqrt(r^2 + h^2).
SA= 1976.0617791 m^2.
The way to find SA of the cylinder under the cone would be 3.14 x d x (d / 2 + h).
A = 3097.6103564 m^2
Then you have to add 1976.0617791+3097.6103564 which gives you 5,073.8. (5,073 being total surface area of the silo)
Next divide that by 400.
5,073.8/400 = 12.7
He would need to buy about 13 cans of paint to be able to paint the entire silo.
A ferris wheel can accommodate 50 people in 15 minutes. How many people could ride the ferris wheel in 3 hours?
Answer:
this is how you solve it
Step-by-step explanation:
so how many times can 15 fit in 1 hour
4 times right?
15 x 4 = 60
theres 3 hours
60 x 3 = 120!
120 is ur answer
hope this helps
have a great day
stay safe
Determine the amounts horizontally and vertically that the given point was translated.
1. A translated to B
2. A translated to C
3. D translated to B
4. C translated to D
5. B translated to C
Answer:
OPTION B I THINK SOOOO
PLS MAKA ME BRAINIST PLS
Step-by-step explanation:
HOPE YOU HELP
Answer:
1. x = 1
y = -7
2. x = 9
y = -5
3. x = -6
y = -5
4. x = -2
y = 3
5. x = 8
y = 2
Step-by-step explanation:
Count until you get from the first point to the next.
What are the coordinates of the point on the directed line segment from (-10, -5) to (5, 1) that partitions the segment into a ratio of 1 to 2?
if you make a graph and add the coordinates on the graph you can use that find out how it creates a ratio of 1:2