Answer:
[tex]\boxed {\tt b=24 \ centimeters}[/tex]
Step-by-step explanation:
This is a right triangle, so we can use Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
a and b are the legs, while c is the hypotenuse.
One leg is 10 centimeters. The hypotenuse is 26 centimeters. Therefore,
[tex]a= 10 \ cm \\c= 26 \ cm[/tex]
[tex](10 \ cm )^2+b^2=(26 \ cm)^2[/tex]
Solve the exponents.
(10 cm)²= 10 cm * 10 cm= 100 cm²[tex]100 \ cm^2+b^2=(26 \ cm)^2[/tex]
(26 cm)²= 26 cm * 26 cm= 676 cm²[tex]100 \ cm^2+b^2=676 \ cm^2[/tex]
Subtract 100 from both sides of the equation.
[tex]100 \ cm^2- 100 \ cm^2+b^2=676 \ cm^2- 100 \ cm^2[/tex]
[tex]b^2=676 \ cm^2 - 100 \ cm^2[/tex]
[tex]b^2= 576 \ cm^2[/tex]
Take the square root of both sides of the equation.
[tex]\sqrt{b^2} =\sqrt{576 \ cm^2}[/tex]
[tex]b=\sqrt{576 \ cm^2}[/tex]
[tex]b= 24 \ cm[/tex]
The other leg of the triangle is equal to 24 centimeters.
Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution.
−12x+1=7x−14
Answer: x=15/19 =0.789
Step-by-step explanation: -12*x+1-(7*x-14)=0
-19x+15 = 0
Subtract 15 from both sides of the equation :
-19x = -15
Multiply both sides of the equation by (-1) : 19x = 15
Divide both sides of the equation by 19:
x = 15/19 = 0.789
x = 15/19 = 0.789
PLEASE HELP ME :(
If A=1/2 h (b1 +b2) is the formula for the area of a trapezoid, find the height of the trapezoid that has an area of 78 in ^2 and base lengths 5 in and 8 in.
Answer:
A. 12in
Step-by-step explanation:
Given parameters:
Area of trapezoid = 78in²
Base lengths = 5in and 8in
Unknown:
Height of the trapezoid = ?
Solution:
A = [tex]\frac{1}{2}[/tex] (b₁ + b₂)h
b₁ and b₂ are 5in and 8in respectively.
Input the parameters and solve for h;
78 = [tex]\frac{1}{2}[/tex] (5 + 8)h
Multiply both sides by 2;
156 = 13h
h = 12in
The height of the trapezoid is 12in
what is the missing x for 2x + 65 = 180
Answer:
x=115/2
Step-by-step explanation:
Answer:
x = 57.5
Step-by-step explanation:
Step 1: Write equation
2x + 65 = 180
Step 2: Solve for x
Subtract 65 on both sides: 2x = 115Divide both sides by 2: x = 115/2Divide: x = 57.5Step 3: Check
Plug in x to verify it's a solution.
2(115/2) + 65 = 180
115 + 65 = 180
180 = 180
-11 2/3 * (-4 1/5)=
Answer:
49Step-by-step explanation:
Simplify:
-11 2/3 * (-4 1/5)= 11 2/3 * 4 1/5 =35/3 * 21/5 = 35/5*21/3 =7*7 =49Solve for x.
X - 4 =
(8x - 16)
Answer:
x=12/7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
x=12/7 or x=1.714
Riya is applying mulch to her garden. She applies it at a rate of 250 , 000 cm 3 250,000 cm 3 250, comma, 000, start text, space, c, m, end text, cubed of mulch for every m 2 m 2 start text, space, m, end text, squared of garden space. At what rate is Riya applying mulch in m 3 m 2 m 2 m 3 start fraction, start text, m, end text, cubed, divided by, start text, m, end text, squared, end fraction?
Answer:
0.25m³
Step-by-step explanation:
If Riya is applying mulch to her garden. She applies it at a rate of 250,000 cm³ for every m², to know how much she is applying in m³ for every m², we will make use of the conversion formula:
100cm = 1m
1cm = 1/100m
1cm = 0.01m
250,000cm³ = 250,000 × 1cm×1cm×1cm
250,000cm³ = 250,000×0.01×0.01×0.01
= 250,000×0.000001
= 0.25m³
Hence Riya is applying at 0.25m³ per m²
Answer:
0.25m³ / m²
Step-by-step explanation:
Given that:
Rate of application = 250,000 cm³ of mulch per m²
The rate of application in m³ per m² can be calculated thus :
Converting 250,000 cm³ to m³
1cm = 1/100 = 0.01m = 1 * 10^-2 m
Hence
1cm³ = (1 * 10^-2 m)³ = 1 × 10^-6 m³
Hence,
250,000cm³ = (250,000 * 10^-6)m³ = 0.25m³
Hence, rate of application in m³ / m² equals
0.25m³ / m²
What is 3.54 x 102 in standard form?
What is the rate of change of the function represented by the table?
X
1
A CON
O oon on
4
5
0
1
O 4
5
Answer:
a
Step-by-step explanation:
it would be 0
Answer:
The correct answer would be 0 because there is no rate of change represente in the table.
Step-by-step explanation:
Hope this helps!
Have a good day! :)
(2x-6)+4(x-3) I need help
Answer:
6x-18
x=-3
Step-by-step explanation:
PLS HELP ME!!!!!!!!! I WILL MARK YOU!!!!!
Answer:
7.92
Step-by-step explanation:
Given
c² + 0.1c - 24 ← substitute c = - 5.7 into the expression
= (- 5.7)² + 0.1(- 5.7) - 24
= 32.49 - 0.57 - 24
= 31.92 - 24
= 7.92
What is the additive inverse of -6.
Answer: 6
Step 1: Subtract 6 to get to 0.
-6 - 6 = 0.
Step 2: Add 6.
0 + 6 = 6.
Answer = 6
PLEASE ANSWER
The amusement park won't allow kids to ride roller-coasters until they
are a minimum of 48 inches tall. Michael is now 42 inches tall, and grows
about 1/2 inch every month. How many months will it be until Michael can
ride a roller coaster?
Answer:
12 months.
2 x 6 = 12
2+1= 43 2 months
2+1= 44 4 months
2+1= 45 6 months
2+1= 46 8 months
2+1= 47 10 months
2+1= 48 12 months
PLEASE FIND THE ANSWER FAST!!!!!!!!!!!!!!
Answer:
P = 2( l + b )
=>130 = 2 (l + 30)
=>130 = 2l + 2*60
=> 130 = 2l + 60
=> 130 - 60 = 2l
=> 70 = 2l
=> 70/2 = l
=> 35 = l
Length = 35cm
Area = l * b
=> A = 35 * 30
=> A = 1050
Therefore area = 1050[tex]cm^{2}[/tex]
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Answer:
l=35 and A=1050
Step-by-step explanation:
the formula of rectangle to calculation perimeter is p=2(l+b)
130/2=l+b
l=35 and
A=l*b
a= 35*30=1050
7+5+35=?
. 47
.25
.64.
. All of the above
Answer:
It is 47
Step-by-step explanation:
7+5 is 12, 12 plus 35 equaks 47
Help meh plz thx ☝︎︎
Answer:
sponge b00b
Step-by-step explanation:
i need help fast plss
Answer:216
Step-by-step explanation:3x9x8
Answer:
12
Step-by-step explanation:
What is the value of (-12) 3 - 15?
SOLVE ASAP PLEASE NEEDED IN A FEW MINUTES
Prove that for any a, the inequality is true:
a
10a^2−5a+1≥a^2+a
AND
Prove that for any a, the inequality is true:
b
a^2−a≤50a^2−15a+1
Step-by-step explanation:
I hope this is the answer
will mark as brainliest
Answer:
-1 + 2 = 1
1 + (-2) = -1
-1 - 2 = -3
1 - (-2) = 3
Step-by-step explanation
When you subtract use keep change change
Rule 1 when you add : If the signs are the same add the numbers and take the sign of the bigger number.
Rule 2 when you add : If the signs are different subtract the numbers and take the sign of the bigger number.
I wanted to help you understand and i hope i did that!
Find the unit rate
93 push-ups in 3 days = push-ups per day
Answer: 31 push-ups per day
Step-by-step explanation: 93/3 = 31 because 90/3=30 and 3/3 = 1 so 30 + 1 = 31.
Hope this helps!
What’s the inverse of the function f(x)=7x+2
3 times a number less than 5 is at most 21
Which shows the correct way to use the rule ""multiply by the reciprocal"" for the expression below? 7 divided by StartFraction 5 Over 8 EndFraction StartFraction 1 Over 7 EndFraction times StartFraction 5 Over 8 EndFraction = StartFraction 5 Over 56 EndFraction StartFraction 7 Over 1 EndFraction times StartFraction 5 Over 8 EndFraction = StartFraction 35 Over 8 EndFraction StartFraction 1 Over 7 EndFraction times StartFraction 8 Over 5 EndFraction = StartFraction 8 Over 35 EndFraction StartFraction 7 Over 1 EndFraction times StartFraction 8 Over 5 EndFraction = StartFraction 56 Over 5 EndFraction
Given:
The expression is [tex]\dfrac{7}{\frac{5}{8}}[/tex].
To find:
The shows the correct way to use the rule ""multiply by the reciprocal"" for the given expression.
Solution:
According to the rule "multiply by the reciprocal", if a,b,c,d are four number, then
[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
We have,
[tex]\dfrac{7}{\frac{5}{8}}[/tex]
It can be written as
[tex]\dfrac{7}{\frac{5}{8}}=\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}[/tex]
Using the rule "multiply by the reciprocal", we get
[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7}{1}\times \dfrac{8}{5}[/tex]
[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7\times 8}{1\times 5}[/tex]
[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{56}{5}[/tex]
Therefore, the correct option is D.
What does X = ?
6 + 0.50x = 26
Answer: x=40
Step-by-step explanation:Let's solve your equation step-by-step.
6+0.5x=26
Step 1: Simplify both sides of the equation.
0.5x+6=26
Step 2: Subtract 6 from both sides.
0.5x+6−6=26−6
0.5x=20
Step 3: Divide both sides by 0.5.
0.5x
0.5
=
20
0.5
x=40
Answer:
x=40
Point N is on line segment MO. Given NO = 2x– 3, MO = 3x + 5, and
MN = 2x + 3, determine the numerical length of MO.
Answer:
The numerical length of MO is 20 units
Step-by-step explanation:
Let us solve the question
∵ Point N is on line segment MO
→ That means point N divides segment MO into two parts MN and NO
∴ MO = MN + NO
∵ MO = 2x + 5
∵ MN = 2x + 3
∵ NO = 2x - 3
→ Substitute them in the equation above
∴ 3x + 5 = (2x + 3) + (2x - 3)
→ Add the like terms in the right side
∵ 3x + 5 = (2x + 2x) + (3 - 3)
∴ 3x + 5 = 4x + 0
∴ 3x + 5 = 4x
→ Subtract 3x from both sides
∵ 3x - 3x + 5 = 4x - 3x
∴ 5 = x
∴ The value of x is 5
→ To find MO substitute x by 5 in its expression
∵ MO = 3x + 5
∴ MO = 3(5) + 5
∴ MO = 15 + 5
∴ MO = 20 units
The numerical length of MO is 20 units
Which statement describes the transformation that would map figure QRST to figure Q'R'S'T' on the grid above?
(x,y) → (-x,y - 9) is the correct transformation for the given graph so option (A) will be correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Given the quadrilateral QRST not if we look at Q'R'S'T' it is 9 units downward so it means there will be 9 units decrement in y units.
So y → y - 9
Now,
Q'R'S'T' is as far from the x-axis as QRST but on the negative x-axis.
So,
x → -x
Hence "(x,y) → (-x,y - 9) is the correct transformation for the given graph".
To learn more about the transformation of graphs,
brainly.com/question/3099136
#SPJ1
Maria found th least common multiple of 6 and 15. her work is shown below
multiples of 6:6,12,18,24,30,36,42,48,54,60
multiples of 15: 15,30,45,60
the least common multiple is 60
what is her error?
Answer:
LCM is 30.
Step-by-step explanation:
She forgot that they both can multiply into 30. She listed all their multiples and their LCM is 30. Not 60. That's her error.
Hope this helps and have a nice day!
Joey’s parents told him that for every 3 hours of chores he completes, they would give him $11for his allowance. His friend Sarah’s parents told her that she would earn $2 for every 30 minutes of chores completed. If both kids spend the same amount of time on their chores, which person gets more money for their allowance? How do you know?
A runner ran 20 miles in 150 minutes. If she runs at that speed,
How long would it take her to run 6 miles?
How far could she run in 15 minutes?
How fast is she running in miles per hour?
What is her pace in minutes per mile?
Gianna is paid $90 for 5 hours of work.
At this rate,how much would Gianna earn for 8 hours of work? Show work to justify your answer.
At this rate, how long would Gianna have to work to earn $60? Show work to justify your answer.
150 ÷ 20 = 7.5 minutes per 1 mile
7.5 x 6 = 45 minutes
7.5 + 7.5 = 15 minutes or 2 miles in 15
60 ÷ 7.5 = 8 mph
mpm = 7.5
90 ÷ 5 = $18 per hour
18 x 8 = $144
18 x 3 = 54 (close to $60)
Step-by-step explanation:
hope this helps
Answer: (a) Sarah (b) 45 minutes (c) 2 miles (d) 8 miles per hour
(e) 7.5 minutes per mile (f) $144 (g) 3 1/3 hours
Step-by-step explanation:
[tex]\text{Joey:}\quad \dfrac{\$11}{3\ hours}\\\\\\\text{Sarah:}\quad \dfrac{\$2}{\frac{1}{2}\ hour}\times \dfrac{6}{6}=\dfrac{\$12}{3\ hours}[/tex]
When comparing the same number of hours, Sarah earns $12, Joey earns $11.
***************************************************************************************************
[tex]\dfrac{20\ miles}{150\ minutes}=\dfrac{6\ miles}{x}[/tex]
Cross Multiply: 20(x) = 150(6)
Divide by 20: x = 900/20
Simplify: x = 45 minutes
***************************************************************************************************
[tex]\dfrac{20\ miles}{150\ minutes}=\dfrac{x}{15\ minutes}[/tex]
Cross Multiply: 20(15) = 150(x)
Divide by 150: 300/150 = x
Simplify: 2 miles = x
***************************************************************************************************
Use conversion: 60 minutes = 1 hour
[tex]\dfrac{20\ miles}{150\ minutes}\times \dfrac{60\ minutes}{1\ hour}=\quad \dfrac{1200\ miles}{150\ hour}\quad =\large\boxed{\dfrac{8\ miles}{1\ hour}}[/tex]
***************************************************************************************************
[tex]\dfrac{150\ minutes}{20\ miles}\div \dfrac{20}{20}=\quad \large\boxed{\dfrac{7.5\ minutes}{1\ mile}}[/tex]
***************************************************************************************************
[tex]\dfrac{\$90}{5\ hours}=\dfrac{x}{8\ hours}[/tex]
Cross Multiply: 5(x) = 90(8)
Divide by 5: x = 720/5
Simplify: x = $144
***************************************************************************************************
[tex]\dfrac{\$90}{5\ hours}=\dfrac{\$60}{x}[/tex]
Cross Multiply: 5(60) = 90(x)
Divide by 90: 300/90 = x
Simplify: 3 1/3 hours = x
Robert earned $10, which was 4 less than twice what Eric earned. How much money
did Eric earn?
In a complete sentence, state the correct equation for the scenario.
Identify and define your variable. Then, using the correct vocabulary, and math
process, explain how to accurately solve the problem. Lastly, In a complete sentence
define your answer.
Answer:
Eric earnings equals $7
Step-by-step explanation:
Let amount earned by Robert = $10
Amount earned by Eric = $x
Robert earnings = 2x - 4
2x - 4 = 10
2x = 10 + 4
2x = 14
Divide both sides by 2
x = 14 / 2
= 7
x = 7
Eric earns $x which is equal to $7
Eric earnings equals $7
2(3x – 7) = 16
Solve for x
Answer:
x=5
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
Look at the attachment below
Hope this helps (: