Answer:
58 yards
Step-by-step explanation:
The Pythagorean Theorem states that:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Where c is the hypotenuse, and a and b are the two legs of the right triangle. Substituting in 40 and 42 for a and b, respectively:
[tex]40^{2} +42^{2} =c^{2}[/tex]
Now, we isolate c:
[tex]c= \sqrt{40^{2} +42^{2} }[/tex]
Therefore, c is equal to 58, so the hypotenuse is 58 yards
Hope this helps!
What is (6x+4) - (4x+2)
Answer:
x = -1
Step-by-step explanation:
1. Simplifying
6x + 4 = 4x + 2
2. Reorder the terms
4 + 6x = 4x + 2 to 4 + 6x = 2 + 4x
3. Solving
4 + 6x = 2 + 4x
4. Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.
4 + 6x + -4x = 2 + 4x + -4x
5. Combine like terms: 6x + -4x = 2x
4 + 2x = 2 + 4x + -4x
6. Combine like terms: 4x + -4x = 0
4 + 2x = 2 + 0
4 + 2x = 2
7. Add '-4' to each side of the equation.
4 + -4 + 2x = 2 + -4
8. Combine like terms: 4 + -4 = 0
0 + 2x = 2 + -4
2x = 2 + -4
9. Combine like terms: 2 + -4 = -2
2x = -2
10. Divide each side by '2'.
x = -1
11. Simplifying
x = -1
HELP ASAP Name an angle supplementary to angle5
Answer:
Angle 1
Step-by-step explanation:
The angle supplementary to 5 is 1 because two angles are supplementary when they add up to 180 degrees.
So therefore, on the other/opposite side of angle 5 is angle 1.
The supplementary angle to ∠5 is D. ∠6 as the sum of this two angles is 180°.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
We know two angles are supplementary if the sum of their measure is 180°.
Now, From the given diagram we can conclude that a straight line is forming with ∠5 and ∠6, So the sum of these angles must be 180° hence supplementary.
Therefore, The angle supplementary to ∠5 is ∠6.
learn more about transversal here :
https://brainly.com/question/17432060
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Charlie has 12 feet of rope. He cuts it into pieces that are each of a foot long. How many pieces of rope will he have?
Answer:
12
Step-by-step explanation:
PLEASE HELP AND HURRY
Answer:
45
Step-by-step explanation:
Answer:45?
Step-by-step explanation:
two hot air balloons are traveling along the same path away from a town
Answer:
A
Step-by-step explanation:
the answer is A because I got it right on my test
Answer:
C
Step-by-step explanation:
25>15 so Henry=25 Henry was farther
37-25=12 12/2= 6<7 Tasha = 7 Tasha was faster
Henry was farther Tasha was faster
x to the 5th times x to the 7a
Answer:
(x^5)(x^7)
Step-by-step explanation:
Answer:
x^5+7a
Step-by-step explanation:
Use the power rule to combine exponents
write the equation of the line in y=mx+b that passes through the points (5,10) and (6,12)
Write your answer as a simplified fraction.
Answer:
y = 2x + 0 or y = 2x
Step-by-step explanation:
use slope-intercept form [tex]\frac{y2 - y1}{x2 - x1}[/tex]
12 - 10 = 2
6 - 5 = 1
m value = 2/1 = 2
y=2x+b
to find b plug one of the points in for x and y
Example: 10 = 2(5) + b
solve equation
10 = 10 + b
subtract 10 from both sides
0 = b
Equation of line equals y=2x+0 or simply just y=2x
Plz help
A business is valued at 200 million and has four owners.
Person A 1/4 of the business
Person B owns 2/5 of the business
Person C owns 1/8 of the business
A.What is the value of Person As share the business?
B.What is the value of Person B's share the business?
C.What the value of Person C's share the business?
D.What the value of Person Ds share the business?
5/6 x 4/5 =
simplify
Answer:
2/3
Step-by-step explanation:
hope this helps!
Answer:
10/15
Step-by-step explanation:
5/6*4/5
5*4/6*5
20/30
10/15
2/3
Square: Area 25 units2.
What is the square root?
Answer:
The square root is 5 units.
Step-by-step explanation:
It is given that:
Square area is 25 units square.
We have to find the square root.
Square root = [tex]\sqrt{25}[/tex]
Square root = [tex]\sqrt{5*5}[/tex]
Square root = 5 units
Therefore,
The square root is 5 units.
Answer: 4
Step-by-step explanation:
brainliest to first correct answer
Answer:
Smallest surface area is of Cuboid B i.e 440 cm²
So, The company will choose cuboid B
Step-by-step explanation:
We need to find the surface area of all cuboids.
Surface Area of Cuboid A:
Length = 6
Breadth = 25
Height = 4
The formula used is: [tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)[/tex]
Putting values and finding surface area:
[tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2((6 \times 25)+(25 \times 4)+(6 \times 4))\\Surface \ Area \ of \ Cuboid=2(150+100+24)\\Surface \ Area \ of \ Cuboid=2(274)\\Surface \ Area \ of \ Cuboid=548\: cm^2[/tex]
So, Surface Area of Cuboid A = 548 cm²
Surface Area of Cuboid B:
Length = 10
Breadth = 6
Height = 10
The formula used is: [tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)[/tex]
Putting values and finding surface area:
[tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2(10 \times 6)+(6 \times 10)+(10 \times 10))\\Surface \ Area \ of \ Cuboid=2(60+60+100)\\Surface \ Area \ of \ Cuboid=2(220)\\Surface \ Area \ of \ Cuboid=440\: cm^2[/tex]
So, Surface Area of Cuboid B = 440 cm²
Surface Area of Cuboid C:
Length = 2
Breadth = 20
Height = 15
The formula used is: [tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)[/tex]
Putting values and finding surface area:
[tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2((2 \times 20)+(20 \times 15)+(2 \times 15))\\Surface \ Area \ of \ Cuboid=2(40+300+30)\\Surface \ Area \ of \ Cuboid=2(370)\\Surface \ Area \ of \ Cuboid=740\: cm^2[/tex]
So, Surface Area of Cuboid C = 740 cm²
So, We get:
Surface Area of Cuboid A = 548 cm²
Surface Area of Cuboid B = 440 cm²
Surface Area of Cuboid C = 740 cm²
The company wants to choose the design having smallest surface area.
So, smallest surface area is of Cuboid B i.e 440 cm²
So, The company will choose cuboid B
-1=5+x/6 step by step
Answer:
-1=(30+x)÷6
-6=30+x
-6-30=x
x=-36
TJ makes a salary of $400 a week. He also
makes a commission of 15% off of
everything he sells for the week. If his total
sales are $15,000, what is his total pay for
the week?
Answer:
Step-by-step explanation:
If TJ made 15,000 dollars in a week, with the 15% commission,
15,000*15/100=2,250 in commission
2250+400=2650 salary for that week
What is the slope of the line that passes through the points (3, –1) and (–2, –5)?
Show Work
Bart and Celenia were filling a wading pool with water. Bart filled ⅜ of the pool. Then Celenia filled ¼ of the pool. What part of the pool was not filled with water?
Answer:
5/8+3/4=11\8
Step-by-step explanation:
.........
determine the y-intercept of the collowing question: (x+4)(x-5)=y
Answer:
y-int= -4
y-int= 5
y intercept is the point where x = 0.
[tex]y = (0+4)(0-5) = 4\cdot(-5) = -20[/tex]
SUPER EASY !!Write the equation in standard form of the line that has x-intercept -2 and y- intercept 4.
Answer:
x-2y=4
Step-by-step explanation:
it is hard to explain but if you use the website called demos and go to the graphing calculator it will show how it got the answer. hope this helps. :)
The ratio of males to females in a cycling club is 5:3.
1/3 of the males are under 18
2/9 of the females are under 18
What fraction of the club members are under 18? Give your answer in its simplest form.
Answer:
3/2
Step-by-step explanation:
The ratio of males to females in a cycling club is 5:3.
1/3 of the males are under 18
2/9 of the females are under 18
The fraction of the club members that are under 18 is calculated as:
Male: Female = Male/Female
We are told in the above question:
1/3 of the males are under 18
2/9 of the females are under 18
Hence:
1/3 / 2/9
= 1/3 ÷ 2/9
= 1/3 × 9/2
= 3/2
The fraction of the club members that are under 18 is 3/2
Karen uses one large rectangle and four small congruent squares to make the "tower" shown. The perimeter of the rectangle is 72 centimeters and the perimeter of the tower is 96 centimeters. What is the area of one of the small squares?
Answer:
300-21=279
Step-by-step explanation:
HELP ME ASAP!!
Michael pays $76.65 for twenty-one 19-count boxes of granola bars. How much does 1 box of granola bars cost?
Answer:
It should just be 3.65. You would divide 76.65 by 21 and get 3.65.
Please help brainiest will be award
Answer:
137 degrees the comments under this dont read them they are incorrect but this is right i got 100% on my test because put 137
Step-by-step explanation:
Answer:
137° or maybe 136°
Pic is not clear!
Please help me it’s the post quiz and I don’t know what to do
So the left bottom is 7 that's all I got rn
The scale on a map is om 60 km. Which of the following proportions could be used to find how many
Kilometers are represented by 2.5 centimeters on the map?
Answer:
150 km
Step-by-step explanation:
60 times 2 plus 30
please help i shall give brainliest
Answer:
I think the answer is d
Step-by-step explanation:
..........................................................
A skier is on the top of a 350 meter tall mountain looking down at a tree. The direct path from the tree to the skier is 505 meters. What is the angle of depression from where the skier is standing to the base of the tree
Answer:
[tex]43.87^{\circ}[/tex]
Step-by-step explanation:
We are given that
Height of mountain=350 m
Distance from the tree to the skier=505 m
We have to find the angle of depression from where the skier is standing to the base of the tree.
In triangle ABC
[tex]\frac{AB}{AC}=sin\theta[/tex]
By using the formula
[tex]\frac{Perpendicular\;side}{Hypotenuse}=sin\theta[/tex]
[tex]\frac{350}{505}=sin\theta[/tex]
[tex]sin^{-1}(\frac{350}{505})=\theta[/tex]
[tex]\theta=43.87^{\circ}[/tex]
Hence, the angle of depression from where the skier is standing to the base of the tree=[tex]43.87^{\circ}[/tex]
{7,21,63,189,..} write a rule for the geometric sequence
Answer:
a7=a3 ^n-1
Step-by-step explanation:
:) Good day
If 6x – 10y
9 is a true equation, what would be the value of -18x + 30y?
Answer:
The value of -18x + 30y is -27
Step-by-step explanation:
Algebraic Expressions
It's given that:
6x - 10y = 9
We are required to find the value of
-18x + 30y
The easiest way to solve the problem is to visualize that:
-18x = -3(6x)
30y = -3(-10y)
This means that the second expression is equal to the first expression multiplied by -3, thus:
-18x + 30y = -3(6x - 10y) = -3*9 = -27
The value of -18x + 30y is -27
Please answer this question!!!!!!!!!!!!
Answer: A
Step-by-step explanation: store B: 32 - 10% = 28.8 and Store A 36- 25% = 27 so the least number is 27 so the answer is A, store A because store B is more expensive after discount. Hoped i help have a nice day
Express as a trinomial (3x+7)(x+8)
Answer:
hey there the answer is:
Step-by-step explanation:
3x(x)+3x(8) + 7(x)+7(8)
3x^2+24x+7x+56=
56+31x+3x²
Answer:
3x^2+31x+56
Step-by-step explanation:
First, we need to multiply using the FOIL (first, outer, inner, last) method.
Let's multiply the first terms together:
3x(x)=3x^2
Now we multiply the outer terms:
3x(8)=24x
Next we multiply the inner terms:
7(x)=7x
Finally, we need to multiply the last terms:
7(8)=56
Now we have this:
3x^2+7x+24x+56
Combine like terms:
3x^2+31x+56
HTH :)
the nomber of
scorpions
in a region is decreasing by
8 % each year how does
the decrease in the scorpions
Population for years 1 to 5
compare to the population for
the years 6-10.
Answer:
Take the numbers to their prime factorization. Write the final answer in exponential form.
1. 28 2. 36 Take the numbers to their prime factorization. Write the final answer in exponential form.
1. 28 2. 36 Take the numbers to their prime factorization. Write the final answer in exponential form.
1. 28 2. 36
Step-by-step explanation: