The two possible answers for the third side of the right triangle are 6 and 24.
What is the triangle inequality theorem?
The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
So, a difference of two sides <x< sum of two sides, will give you the possible length of a triangle.
Sarah said, "There is only one possible third side for a right triangle with two sides measuring 9 units and 15 units.'
The two possible answers for the third side of the right triangle are;
[tex]\rm 15-9 < x < 15+9\\\\6 < x < 24[/tex]
The possible length of the third side of a triangle.
For checking the possible length:
15 + 9 > 7 (a+b>c)
9 + 7 > 15 (b+c>a)
7+ 15 >9(a+c>b)
Which satisfy the triangle inequality theorem.
Hence, the two possible answers for the third side of the right triangle are 6 and 24.
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1) How do we find surface area? (What is it?)
2) What is the surface area of this pyramid?
Answer:
1) First find the base, then one triangle face and multiply it by four
2) 360 units squared
Step-by-step explanation:
10*10 = 100
10*13 = 130
130*2 = 260
260 + 100 = 360
Answer:
Surface Area=360
Step-by-step explanation:
All the triangles of a square pyramid are congruent meaning you can find the area of 1 and multiply by to find the total surface area of all 4 triangles.
Area of a triangle formula= bh/2
Area of 1 triangle= 13*10/2=65
Multiply by 4 to find the total surface area of the triangles: 65*4=260
Then add the area of the square base.
Area of Square base=10*10=100
Add the total area of the triangles and square base: 260+100=360
HELP ME OMG PLEASEEEEEEEEEEEEE
[tex]v = \frac{lwh}{3} [/tex]
[tex]v = \frac{12 \times 10 \times 3}{3} [/tex]
[tex]v = 120 \: {ft}^{3} [/tex]
Volume of the rectangular prism:[tex]v = lwh[/tex]
[tex]v = 12 \times 10 \times 7[/tex]
[tex]v = 840 \: {ft}^{3} [/tex]
Total volume:[tex]v = 120 + 840[/tex]
[tex]v = 960 \: {ft}^{3} [/tex]
pyramid:
lwh/2
=12×10×3/3
=120 ft^3
prism:
whl
=12×10×7
=840 ft^3
all together:
=960 ft^3
3/4(x+2)=x-2 . solve for x
Find the surface area of a square pyramid with side length 5 Fr and slant height 5 ft.
Answer:
75 ft²
Step-by-step explanation:
Surface Area :
Area (4 triangles) + Area (base)4 x 1/2 x 5 x 5 + 5 x 550 + 2575 ft²Given:
All sides are 5 feet in length.
To find:
The surface area of:
Square (base)4 Triangle SidesStep-By-Step-Solution:
Step 1
Find the surface area of the square (base)
Formula:
[tex]SA=L*W[/tex]
Find:
[tex]SA=5*5\\=25[/tex]
The surface area of the square (base) is 25ft²
Step 2
Find the surface area of the 4 triangles
We know that to find the surface area of 1 triangle, we do this:
[tex]SA=\frac{1}2} *B*H[/tex]
But to find the surface area of 4 triangle, we will have to do this:
[tex]SA=2*B*H[/tex]
Find:
[tex]SA=2*5*5\\=2*25\\=50[/tex]
The surface area of the 4 triangles in the sides are 50ft²
Step 3
Find the total surface area (by adding all SA's found before)
Just add! EASY!!!
25+50=75ft²
The total Surface Area of the Square Pyramid is 75ft²Find the area of the regular polygon
Answer:
162m²
Step-by-step explanation:
distance from corner to center = 1/2 of the diagonal
all sides are equal, and this has 4 sides, so it is a square
9m = 1/2 of diagonal
multiply both sides by 2 to isolate the diagonal
18m = diagonal
area of square = length²
length * √2 = diagonal
given the diagonal, we can find the length and then the area
length * √2 = diagonal
divide both sides by √2 to find the length
18m/√2 = length ≈12.7
square the length to find the area
area = 162 m²
Find the slope and the y-intercept of the linear function shown below
Answer:
You give no Problem or answers to choose from
Step-by-step explanation:
Sorry
Which statement below is always true?
A. Two parallel lines intersect at a right angle.
B. Two parallel lines lie in the same plane.
C. Two lines that are skew to each other intersect at one point.
D. A transversal never intersects another line.
Answer:
The answer is B. Two parallel lines lie in the same plane.
Step-by-step explanation:
Parallel lines never cut (intersect) or meet each other, and they lie on the same plane.The answer is Choice B
Step-by-step explanation:
Parallel lines never intersect
Lines that are skew don't have to intersect
Transversal lines intersect other lines
A pet store has three fish tanks, each holding a different volume of water and a different number of fish.
Tank A holds 40 L and 5 fish. Tank B holds 100 L and 12 fish. Tank C holds 180 L and 23 fish.
Order the tanks by volume per fish from least to greatest.
B A C
Answer:
Step-by-step explanation:
Remark
The general formula is
Volume per fish = volume of water / number of fish
Givens
40 L and 5 fish
100 L and 12 fish
180 L and 23 fish
Solution
Tank A = 40 L / 5 fish = 8 L / fish
Tank B = 100 L /12 fish = 8.3 L / fish
Tank C = 180 L / 23 fish = 7.83L / fish
Answer
From Least to greatest = C A B
[(-3)+9] × [(-10)-(-9)]
please solve this
The weekly salary of a security guard, $S, is based on the formula, S=B+8H where B is the basic wage in dollars, and H is the number of hours he is on duty per week.
(a) Given that the security guard received $710 for a total of 45 hours of work in a particular week, find the basic wage.
(b)
(i) Calculate the salary he received after working for 42 hours in one week.
(ii) At the end of another week, the security guard earned $662. Find the number of hours worked that week.
[tex]\\[/tex]
ty! ~
Answer:
A. 350
B. (i) $686 (ii) 39 Hours
Step-by-step explanation:
Based on what's given..
A)
[tex]\sf S=B+8H[/tex]
[tex]\sf 710=B+8\times45[/tex]
[tex]\sf 710=B+360[/tex]
[tex]\sf B=710-360[/tex]
[tex]\boxed{\sf B= 350}[/tex]
B)
(i)
[tex]\sf S=350+8\times42[/tex]
[tex]\sf S=350+336[/tex]
[tex]\boxed{\sf S=686}[/tex]
(ii)
[tex]\sf 662=350+8H[/tex]
[tex]\sf 8H=662-350[/tex]
[tex]\sf H=312 \div 8[/tex]
[tex]\boxed{\sf H=39}[/tex]
a×b=2a+16 two positive consecutive even integers
The solution of the given two positive consecutive even integers will be a = 20 and b = 21
What is an integer?An integer is a number whose values are ranges from 0 to infinite positive and zero to infinite negative.
Given that :
2a-3b = -23
a and b are consecutive
Find:
a and b
Computation:
a = b - 1
So,
2a-3b = -23
2(b-1)-3b = -23
2b - 2 - 3b = -23
-b = -21
b = 21
So
a = b - 1
a = 21-1
a = 20
Hence the solution of the given two positive consecutive even integers will be a = 20 and b = 21
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year 9 students from a school were asked to choose one language to study the table shows information about their choices LANGUAGE French students=17 German students=35 Italian students=38 Students in math class 9s1 were told to draw a pie chart to illustrate the language work out all of the angles of each sector of the pie chart
Answer:
French 17
German 35
Italian 38
total 90
French = 17/90 ×360 =68°
German = 35/90 ×360= 140°
Italian 38/90 ×360= 152°
Andy is 6.25 miles north of the center of town. william is at the center of town. at noon they both start walking north.
andy walks at a constant rate of 7.5 miles in 3 hours. william walks at a constant rate of 15 miles in 4 hours.
how many hours does it take william to catch up with andy?
Answer: 5 hours
Step-by-step explanation:
[tex]speed=\frac{distance}{time}[/tex]
Andy speed = 7.5/3 = 2.5 mph
William speed = 15/4 = 3.75 mph
1. Write an equation that represents the question
let h = # of hours it takes William to catch up with andy
2.5h + 6.25 = 3.75h
2. subtract 2.5h from both sides
6.25 = 1.25h
3. Divide 1.25 from both sides
[tex]\frac{1.25h}{1.25} =\frac{6.25}{1.25}[/tex]
h = 5
Therefore, we know it will take 5 hours for William to catch up with andy.
The perimeter of a rectangular corn field is 440 meters. The ratio
of its length to its width is 7:4. What is the length and width of
the field?
Answer:
Length: 140 meters
width: 80 meters
Step-by-step explanation:
perimeter of a rectangle is 2*(lw)
440/(14+8)=20
Length: 20*7=140 meters
width: 20*4=80 meters
If the area of a round cricket oval is 27500 square meters, Find the distance from the centre of the ground to the boundary.
The distance from the centre of the ground to the boundary based on the area given is 93.58 meters.
How to calculate the distance?From the information given, the area of a round cricket oval is 27500 square meters. The information simply wants us to calculate the radius which will be calculated thus:
Area of a circle = πr²
πr² = 27500
(3.14) × r² = 27500
r² = 27500/3.14
r² = 8757.96
r = ✓8757.96
r = 93.58
Therefore, the distance from the centre of the ground to the boundary is 93.58 meters.
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In the parallelogram shown, ae = p − 8, ce = 2p − 58, and de = p 15. parallelogram a b c d is shown. diagonals are drawn from point a to point c and from point d to point b and intersect at point e. what is the length of line segment eb? 42 units 50 units 65 units 73 units
If diagonals are drawn from point a to point c . The length of line segment eb is 65 units.
Length of line segmentSince the diagonal of parallelogram bisect one another, hence:
AE=CE
EB=DE=P+15
P-8=2P-58
P=50
Hence:
EB=P+15
EB=50+15
EB=65 units
Therefore the length of line segment eb is 65 units.
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Good afternoon, the
correct answer is 65 units
The radius of a circle is 8 meters. What is the circle's area? Use 3.14 for .
Step-by-step explanation:
A = πr^2
When r=8m and π = 3.14,
A = 3.14*8*8=200.96sq.m
Answer:
[tex]\huge\boxed{\bf\:200.96\:m^{2}}[/tex]
Step-by-step explanation:
If,
Radius (r) = 8 mπ = 3.14Area (A) of the circle = ?
A = πr² [tex]\dashrightarrow[/tex] Formula
A = 3.14 × (8)²
A = 3.14 × 64
A = 200.96 m²
[tex]\rule{150pt}{2pt}[/tex]
Feng is starting a running plan to train for a race. In the first week of his running plan, Feng will run 15 miles. The plan calls for Feng to increase his weekly milage by 1.5 miles every week. If Feng sticks to the plan, how many miles would he be expected to run during his 15th week of the training plan?
Answer:
37.5 miles
Step-by-step explanation:
y = 1.5x + 15
1.5 * 15 = 22.5
22.5 + 15 = 37.5
Which multiplication expression does the model show?
I can give brainliest to the best answer, please help
Answer:
KPJ= 40 degrees
Step-by-step explanation:
EPG=35
EPG=FPK because they are symmetrical
135+105=140
180-140=40
DPE=40
DPE=KPJ because they are symmetrical
KPJ=40
PLEASEEE HELPPPPP
Triangle A and Triangle B are similar triangles that have corresponding angle measures of 98 degrees and 43 degrees . What is the angle measure of the third angle in Triangle A and Triangle B?
Answer:
47 degrees
Step-by-step explanation:
Similar just means they may be different sizes but have the same angle measure. That means the angles will be identical in both triangles A and B.
All angles must add up to 180 degrees. We already have two angles, so we just need to find the last one. 90+43= 133.
180-133=47.
15 1/2 times 2 1/8 ??
Answer:
[tex]32 \times \frac{15}{16} [/tex]
Step-by-step explanation:
15 1/2 times 2 1/8 ??
[tex](15 \times \frac{1}{2} ) \times( 2 \times \frac{1}{8} )[/tex]
15 ×2 =30 +1 =31/2
2×8=16+1=17/8
[tex] \frac{31}{2} \times \frac{17}{8} [/tex]
[tex] \frac{527}{2 \times 8} [/tex]
527/16
[tex]32 \frac{15}{16} [/tex]
The radius of a circle is 7 millimeters. What is the circle's circumference?
Answer:
The circumference of a circle with a radius of 7 millimeters is 44.0 (rounded to the nearest tenth).
Step-by-step explanation:
The circumference of a circle is the distance around the outside of the circle. The circumference along with the diameter and radius are the 3 major aspects of a circle.
The circumference of a circle is found using this formula:
[tex]c=2\pi *r[/tex] - or - [tex]c=\pi *d[/tex]For this problem, the radius has been given, so to solve, let's use the formula: [tex]c=2\pi *r[/tex].
It has been given that the radius is equal to 7 and the unit of measure is millimeters.
So to start, let's plug the radius in the formula.
It should look like this: [tex]C=2\pi *7[/tex]
After plugging the radius into the formula, we now have to multiply [tex]2\pi[/tex] by [tex]7[/tex]; resulting in: ≈ [tex]43.9823[/tex] (estimate)
Now rounding to the nearest tenth:
≈ [tex]44.0[/tex]
13. How are squares and triangles the same? How are they different?
Answer:
Squares and triangles are both polygons and right triangles and squares both have at least one right angle. They are different because squares have 4 sides and triangles have 3. Also, triangle have a total of 180 degrees while squares have a total of 360 degrees.
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find the measure of each arc.
a. JL
b. KM
c. JLM
d. JM
The measure of each arc.
a. JL = 132
b. KM =147
c. JLM = 200
d. JM =120
What is angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint.
The measure of JL
=m JK+ m KL
= 53+79
= 132
The measure of KM
=m KL+ m LM
= 79+68
=147
The measure of JLM
= 53+68+79
= 200
The measure of JM
=360-200
=120
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Someone please help I’m literally so close to finishing this assignment and schools almost over so I need to bring up my grade quick
Step-by-step explanation:
if that is a problem for the end of the school year, what problems did you solve during the year ?
this question needs one of the basic principles of angles :
the sum of all angles around one point on one side of a line is always 180°, because that line can be seen as the diameter of a circle, and the point is the center of that circle. so, all angles in one side of the line are representing a half-circle.
this special point here is clearly T.
and 85 + x = 180
x = 180 - 85 = 95°
The volume of the rectangular pyramid below is 3240 units^3
3
. Find the value of xx.
The pyramid with a volume of 3240 unit³, base of 20 by 18 unit has a height of 27 unit
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Volume of pyramid = (1/3) * area of base * height
Hence:
3240 = (1/3) * (20 * 18) * x
x = 27 units
The pyramid with a volume of 3240 unit³, base of 20 by 18 unit has a height of 27 unit
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PLEASE HELP !!!!!!!!!
Answer:
17,17,17,0.6 805-774-0842 38.05-1.06.52-2.06 1.46-2.56l8.5-4.5c1.34 98.0.4758.101Step-by-step explanation:
thanks For Answering For My Subscribe
if f(x)=x^2+2x-10 what is f(-2)
Answer:
-2
Step-by-step explanation:
f(2)= 2^2 + 2(2) - 10
= 4+4-10
=8-10
= -2
The golf club can send a team of four students
to the next golf tournament. If there are 18
Students in the club, How many different teams
Of 6 can be selected?
Answer:
18,564
Step-by-step explanation:
The formula is n! / (r!(n-r)!
n is the total number of people and r is the number of people to be picked
n = 18, r = 6
18! / (6!(18-6)!)
18! / (6!*12!)
Total combinations = 18,564
Answer:
3
Step-by-step explanation:
18 ÷ 6 = 3
check and make sure the answer is right so you do the opposite
3 × 6 = 18