Answer:
(x - 4)(x + 4)
Step-by-step explanation:
x² - 16 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 16
= x² - 4²
= (x - 4)(x + 4)
What is the range of this data set?
3.7, 18.5, 2.7, 13.8, 7.5, 15.2, 10.1, 7.6, 17.8
14.1
15.8
17.8
18.5
Answer:the answer is 15.8
Step-by-step explanation:
need answer. please help
Find the value of the marked angles in each of the following ( see image ).
Please show workings.
The only given angles are 62° and 85°.
The angle to look for is marked by “))”
Answer:
(180-62)
118
180-118=62
180-85=95
180-(62+95)
180-157
23
Answer:
23°Step-by-step explanation:
The inscribed is the cyclic quadrilateral.
The opposite angles are supplementary in cyclic quadrilaterals.
The angle opposite to 85° is:
180° - 85° = 95°The missing angle of the triangle is:
180° - (62° + 95°) = 23°q/19 < 4
pls be correct if you type it !!!!
Answer:
q<76
Step-by-step explanation:
hope this is the answer you were looking for!
a watch is sold for $130 at a loss of $30. what was the original cost of the watch
Answer:
130.00 + 30.00 = $160.00
Step-by-step explanation:
A father is eight times as old as his son . In 10 years , he will be three times as old as his son . The age of son is
Answer:
The son is 4years old
Step-by-step explanation:
Let the son's age=x
the father's age=8x
IN 10YEARS,
Son's age=x+10
father's age=8x+10
Equate them
8x+10=3(x+10)
8x+10=3x+30
5x=20
x=4
PLEASE HELP
show work for problem
Answer:
[tex]tan(x)-1 =30/45[/tex]
Step-by-step explanation:
put that in your calculater
The measure of ∠DBE is (0.3x−22)° and the measure of ∠CBE is (0.2x−55)°. Find the value of x.
The water pipe has a radius of 5 cm and a height of 7 cm. What volume of
water does it take to fill the pipe?
Answer:
549.5 cm
Step-by-step explanation:
Answer:
pipe is cylinder
volume= pi r²h
radius= 5cm
height= 7cm
volume = 22/7 × (5×5) × 7
simplifying the equation
= 22 × 25
= 550cm³
Find the Total surface area
A prism 11 in tall with a right triangle for a base with side lengths 6 in, 8 in, and 10 in.
A) 344 in2
B) 383 in2
C) 312 in2
D) 288 in2
Answer:
You may not recognize this...but the base forms a "Pythagorean" right triangle with legs of 6 and 8 cm
The area of a right triangle is (1/2) ( product of leg lengths)
So...the area of the base = (1/2) (6 * 8 ) = (1/2) 48 = 24 cm^2
And the volume of the prism is just the base area x height = 24 x 7 = 192 cm^2
Step-by-step explanation:
Find the total surface area of the triangular pyramid
A. 98.6 ft
B. 123.6 ft
C. 99.5 ft
D. 201 ft
E. 103 ft
F. 118.1 ft
Hi please help thank you so much
Answer:
23.09 ft
Step-by-step explanation:
tan = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ tan 13 = [tex]\frac{x}{100}[/tex]
tan of 13 is 0.23086
⇒ 0.23086 = [tex]\frac{x}{100}[/tex]
multiply each side by 100
⇒ 0.23086 x 100 = [tex]\frac{x}{100}[/tex] x 100
solve:
⇒ 23.0868
round to the nearest hundreth:
⇒ 23.09
Richard and Stephen win some money and share it in the ratio 2:1. Richard gets £12 more than Stephen. How much did Stephen get?
Answer:
12
Step-by-step explanation:
because ratio 2 to 1 = all =3 if Richard got 12 more than stephan that is the one more so In 2 to 1/1=12 so stephan gets 12
Answer:
huh whats that? all you have to do is use the internet
A rectangular prism has a volume of 56 cubic inches. Find one possible set of measurements
for the base area and height of the prism.
Which term has the definition "A data point that is very large or very small in comparison
to the rest of the data set"?
A.Maximum
B. Outlier
C. Variability
D. Minimum
Answer:
B. Outliers
Step-by-step explanation:
Please answer this below Question # 15
Answer:
[tex]c. \: 5x - 2y = 10 \\ \: \: \: \: \: 10x - 4y = 20 \\ [/tex]
Can someone help me with this problem ??
Answer:
a = 120
b = 120
y = 22
a and b and vertical angles
Step-by-step explanation:
angles A and B are vertical angles so they're equal.
you can find angle b because all the angles in a triangle add up to 180
19 + 41 + B = 180
b = 180 - 19 - 41
b = 120
and since theyre equal, that means
a = 120 as well.
since you know a = 120 you can find y.
120 + 38 + y = 180
y = 180 - 120 - 38
y = 22
Please help if possible :)
Answer:
4.5
Step-by-step explanation:
any value of XYZ divided by the corresponding value from RST = 4.5 the scale factor
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every 2 months. The overcharged amount w varies directly with time t . (a) Find the equation that models the variation . (b) Solve the equation to find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked. Show all your steps
Answer:
20 months
Step-by-step explanation:
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months. The overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex].
(a)
As the overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex],
[tex]w=kt[/tex]
Here, [tex]k[/tex] is a constant.
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months.
Put [tex]w=1\,,\,t=2[/tex]
[tex]1=2k\\k=\frac{1}{2}[/tex]
So,
[tex]w=\frac{t}{2}[/tex]
(b)
To find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked, put [tex]w=10[/tex] in [tex]w=\frac{t}{2}[/tex]
[tex]10=\frac{t}{2}\\\\t=10(2)\\[/tex]
[tex]t=20[/tex] months
What is 3.45 written as a percentage?
Answer:
345%
Step-by-step explanation:
ahmed is 4 years old than sara, 5 years ago the sum of their age was 48, write a algebric equation to represent the situation and find saras age
Answer:
bjbhj
Step-by-step explanation:
Barak spent $20 at the mall. This represents 16% of the money he earned working at the pizza parlor last week. How much money did Barak earn at the pizza parlor last week?
Answer: Amount of Money Barak earned last week =$125
Step-by-step explanation:
Amount of money Barak spent= $20
Amount of money spent = 16% of Money earned (X)can be represented as
16% x X =20
0.16 x X =20
X = Money earned last week = 20/ 0.16= $125
if your heat beats 75times per minute how many time does it beat in 5 hours
Answer:
This is your answer . IfI'm right so,
Please mark me as brainliest. thanks!!!
The ratio of girls to boys is 12 girls to 20 boys.
If there are 3 girls, how many boys are there?
There are
boys.
Next Question
Answer:
5
Step-by-step explanation:
ratio = 12:20
12/4 = 3
so we do
20/4 = 5
there are 5 boys
Another way, we can write it as a fraction
12/20 = 3/x
12x = 60
x = 5
Answer:
5 boys
Step-by-step explanation:
Write it like this:
3/X=12/20
Then, cross multiply.
3*20=60
X*12=12X
12X=60
Divide both sides by 12
60/12=5
X=5
The unknown number is 5
If there are 3 girls, then there are 5 boys.
A stack of one dozen cookies of diameter
5 in. exactly fits in a cylindrical container of
volume 179.715 in.3. Which is the thickness of
each cookie?
Answer:
.763 in for each cookie
Step-by-step explanation:
[tex]179.715 =\pi (2.5)^{2} h\\179.715= \pi (6.25)h\\179.715=19.635h\\h=9.153\\[/tex]
After you solve for the height you would divide it by 12 to get the thickness of one cookie which is .763 in.
A, B & C form a triangle where ∠ BAC = 90°. AB = 6 mm and CA = 7.3 mm. Find the length of BC, giving your answer rounded to 1 DP.
Answer:
BC ≈ 9.5 mm
Step-by-step explanation:
Since, ΔBAC is a right angle triangle,
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
BC² = AB² + AC²
BC² = 6² + (7.3)²
BC = [tex]\sqrt{89.29}[/tex]
BC =
BC = 9.445
BC ≈ 9.5 mm
Pig E Bank brags a 4% interest rate compounded annually. If Mr. Ant wants to invest $5,000
on his first born child's birthday and surprise him with the account on the child's 40th
birthday. Write and solve an equation to determine the amount in the account when his
child turns 40.
hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!
Write a rational number between -3 and -4.
Answer:
-3.25
Step-by-step explanation:
Answer:
-3.25
Step-by-step explanation:
sorry I'm wrong.....im not that good at math
48÷-6-(-2)3
Calculate the following , showing all the steps
Answer:
-2
Step-by-step explanation:
48 ÷ -6- (-2)3
= -8 - (-2)3
= -8 - (-6)
= -8 +6
= -2
List five examples of materials and equipment that can be used for math activities.
Answer:
compass
protecter
scale
pencil
Hence, the fives examples are explained.
What is the mathematics?
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes
(1) Ruler
(2) Set-squares
(3) Compass
(4) Divider
(5) Protactor
Hence, the fives examples are explained.
To know more about the maths
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