Answer:
length = 14 m
width = 7 m
Step-by-step explanation:
l = length
w = width
l = 2w - 8
w(2w - 8) = 42
2w² - 8w - 42 = 0
you can factor out a 2 to work with smaller numbers:
w² - 4w - 21 = 0
(w - 7)(w + 3) = 0
w = 7
'w' cannot equal a negative so we discount it as an answer
find length:
l = 2(7) - 8
l = 14 - 8 or 6m
what is a cash book
Answer:
Step-by-step explanation:
A cash book is where you keep all of receipts and disbursements and also the bank deposits and withdrawals. when that's done, entries inside of the cashbook are added to the general ledge.
What is the name of the property shown below?
(9 x 2) + (9 x 10) =
9x (2 + 10)
distributive
commutative
associative
identity
Answer:
108 associative
Step-by-step explanation:
Choose the set that is the possible side lengths of a right triangle.
a)1,1,2 b)3,5,9 c)3,4,7 d)1,1,square root2
Answer:
D
Step-by-step explanation:
Mathematically, for us to have a right triangle, Pythagoras’ theorem must be obeyed
From the theorem, the square of the hypotenuse (longest side) equals the sum of the squares of the two other sides
Let us take a look at the given set of numbers:
2 square is not same as 1 squared + 1 squared
9 squared is not equal to 3 squares + 5 squared
7 squared is not equal to 4 squared + 3 squared
But;
root 2 squared equals 1 squared plus 1 squared and that is our answer
What type of triangle is shown in the image?
a triangle with two angles that are thirty degrees, and one angle that is one hundred twenty degrees
Group of answer choices
Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle
Answer:
the answer is an obtuse triangle
The triangle in the image is an obtuse triangle.
In any triangle, the sum of the three angles is always 180 degrees.
Here, the sum of the two angles is 30 + 30 = 60 degrees.
Now, Adding the 120 degrees angle
= 60 + 120
= 180 degrees, which is consistent with the sum of angles in a triangle.
Now, let's consider the types of triangles:
1. Acute triangle: All three angles in an acute triangle are less than 90 degrees.
2. Right triangle: A right triangle has one angle that measures exactly 90 degrees.
3. Equilateral triangle: An equilateral triangle has all three angles equal to 60 degrees.
4. Obtuse triangle: An obtuse triangle has one angle that is greater than 90 degrees.
Thus, the triangle in the image is an obtuse triangle.
Learn more about Type of Triangle here:
https://brainly.com/question/27682397
#SPJ6
When you divide both sides of an inequality by a negative number, you need to _____ the inequality symbol.
A. flip
B. eliminate
C. raise
D. multiply
Answer:
The correct option is option;
A. Flip
Step-by-step explanation:
When both sides of an inequality is divided by a negative number, it changes the sign of both numbers while their magnitude remain the same;
Therefore, if the right hand side of the inequality is lesser than the left hand side, when the signs of the left and right hand sides of the inequality changes after a division , by a negative number, we have;
The smaller right hand side of the inequality will then have a lesser negative magnitude than the left hand side of the inequality with a higher negative value and the left hand side (with the higher negative value) becomes lesser than the right and therefore, the symbol (sign) of the inequality is flipped
Therefore, when you divide both sides of an inequality by a negative number, you need to flip the inequality symbol.
Geometry help please. Complete the similarity statement, in the box below, of these two triangles.
Answer:
ΔIJK ≈ ΔXVW
Step-by-step explanation:
help BRAINLES tysmm
Answer:
64 units^2
Step-by-step explanation:
A = 1/2*b*h
A = 1/2 * 16 * 8
A = 64
Answer:
64 units
Step-by-step explanation:
NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:
Answer:
the answer for this question is C
Step-by-step explanation:
base radius = 0.8
Height = 3.5
Volume of a cone =
[tex] \frac{1}{3} \pi {r}^{2} h[/tex]
V=1/3 x 3.14 x 0.8^2 x 3.5
V=2.3445 in^3
V= 2.34 in^3
What is the volume of the cargo area of the moving truck?
A. 696 cubic feet
B. 756 cubic feet
C. 824 cubic feet
D. 888 cubic feet
Answer:
888sq. ft
Step-by-step explanation:
Volume of a rectangular prism = length * width * height
For the given diagram
area of the truck = area of the bigger + area of smaller prism
area of the bigger prism = 6 * 9 * 16
area of the bigger prism = 864sq. ft
Area of smaller prism = 2 * 2 * 6
Area of smaller prism = 24 sq. ft
Area of the figure = 864 + 24
Area of the figure = 888sq. ft
what does x - (-3) = 17 equal?
Answer:
x = 14
Step-by-step explanation:
two negatives become a positive so the equation is now
x + 3 = 17
subtract 3 from both sides, giving you 14
There are expected to be 7 adults for every 3 children at the opening of a new museum. Find how many children are expected if there are 21 adults, 35 adults, and 56 adults.
Answer:
21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children
Step-by-step explanation:
In other words, every 7 Adults creates a set of 3 Children
In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.
For 35 adults, 35/7 gives us 5 sets
Therefore 5x3= 15 Children
Finally, 56 adults. 56/7= 8 sets
Therefore 8x3= 24 Children
Hope this helps and goodluck. Feel free to post more questions.
Please let me know the answer to this
hhheeelllpppp pplllssss
Answer:
i think its a
Step-by-step explanation:
Answer:
B 7.2
Step-by-step explanation:
the coordinate of C: (1, 3)
the coordinate of E: (5, -3)
the distance formula: [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
= [tex]\sqrt{(5-1)^{2} + (-3-3)^{2}}[/tex]
= [tex]\sqrt{16+36}[/tex]
= [tex]\sqrt{52}[/tex]
≈ 7.2
I have a 45, 45, 90 right triangle. The hypotenuse is 10 units long. How long are the legs?
a) 5 units
b) √10 units
c) 5 √2
d) one is 5 units s and the other is 5 √3
Answer:
C
Step-by-step explanation:
The triangle follows the pattern:
45 - 45 - 90
x - x - xsqrt(2)
Since you already have the hypotenuse (90), you need to divide by sqrt(2) to get the legs.
[tex]\frac{10}{\sqrt{2} } = \frac{10\sqrt{2} }{2} = 5\sqrt{2}[/tex]
Answer:
C
Step-by-step explanation:
hope this helps:))))))))))
how do you find the value of x
Answer:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
isnt the x a 90 degree angle?
PLEASE HELP WITH SACLE FACTOR!!!! 100 POINTS!!!
Answer:
b would be 16:36, c would be 64:216, d would be 2:7, and f would be 4:49
Step-by-step explanation:
Answer:
b=16:36, c=64:216, d=2:7, f=4:49
What is the value of y in the equation 2(3y − 15) = 0?
Answer:
y = 5
Step-by-step explanation:
2(3y - 15) = 0
6y - 30 = 0
6y - 30 + 30 = 0 + 30
6y = 30
6y ÷ 6 = 30 ÷ 6
y = 5
nnnnnnnnneeeeeeeeddddddddd help
Answer:
It is C
Step-by-step explanation:
C is the correct answer but don't quote me on it
Hilton Head Island is about 12 miles long. Susan has a map that shows the island. If the scale on the map is 1 inch = 1/2 mile, what is the length of the island on Susan's map?
Answer:
20 inches long
Step-by-step explanation:
if 1inch=1/2 miles
then,1/2×12
___________
1
=1/2×12
=24 inches
The area of the figure below is cm2. Round to the nearest
hundredth where necessary.
30 cm
30 cm
26 cm
Answer:
sorry the question is not clear enough
Alice has 15 times as many crayons as Bryan. Write an equation to find the total number of crayons that Alice has.
Answer:
a = 15b
Step-by-step explanation:
It's given in the question that Alice has 15 times as many crayons as Bryan.
Let the number of crayons with Bryan = b
And the number of crayons with Alice = a
Therefore, equation representing the number of crayons with Alice will be,
a = 15b
No desenvolvimento da multiplicação 2 × (4+7) = 2 × 4 + 2 × 7 = 8 + 14 = 22, qual propriedade fui utilizada?
Answer:
Propiedad distributiva de la multiplicación sobre la suma
Step-by-step explanation:
Spanish
Propiedad distributiva de la multiplicación sobre la suma
2 × (4 + 7)
Aquí vemos que el número 2 se multiplica por 4 y 7
2 se distribuye a 4 y 7
= 2 × 4 + 2 × 7
Después de la multiplicación se suman ambos
= 8 + 14 = 22
Esta propiedad se llama propiedad distributiva de la multiplicación sobre la suma.
English
No development of multiplication 2 × (4 + 7) = 2 × 4 + 2 × 7 = 8 + 14 = 22, which property was used?
Distributive property of multiplication over addition
2 × (4 + 7)
Here we see that the number 2 is multiplied with both 4 and 7
2 is distributed to both 4 and 7
= 2 × 4 + 2 × 7
After multiplication both are added
= 8 + 14 = 22
This property is called distributive property of multiplication over addition.
Suppose that the delivery times of a nationwide pizza chain are normally distributed with an unknown mean and standard deviation. The delivery times of 26 randomly sampled pizza orders are used to estimate the mean delivery time for the population. What t-score should be used to find the 95% confidence interval for the population mean?
Answer:
The t-score to be used to find the 95% confidence interval for the population mean is;
[tex]t_{(0.025, \, 25)} = 2.06[/tex]
Step-by-step explanation:
The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom from the Student's T-distribution is a standard test statistic obtained by applying a T-test
Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;
The number of degrees of freedom = n - k
The confidence level in the confidence interval
The parameters given in the question are;
The number of pizza orders in the sample, n = The sample size = 26
The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza
The level of confidence (the probability) that the interval contains the population mean = 95%
Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05
∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long
The degrees of freedom, df = n - k
∴ For the estimation, DF = 26 - 1 = 25
The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;
[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]
7.4g of sugar is needed for every cake made. How much sugar is needed for 7 cakes?
Answer:
Sugar for 1 cake = 7.4 g
Sugar for 7 cakes = 7.4 × 7 = 51.8 g.
Use the coordinate plane. Identity the ordered pair
that names each point.
PLEASE ANSWER THIS IS URGENT
Answer:
A= (-1.5, 1)
B= (0.5, -2)
C= (-1, -1.5)
D= (1, 1.5)
An angle measures 36.6° less than the measure of its complementary angle. What is themeasure of each angle?
Answer:
53.4° and 36.6°
Step-by-step explanation:
90.0 - 36.6 = 53.4
Which is the largest interval over which the function in the table is increasing?
Answer:
Solution given:
y=-1/2 x²
for
f(x)=-1/2 x².
differentiating each term with respect to x
f'(x)=-x
when
x=-4
f'(-4)=4>0 increasing
when
x=-2
f'(-2)=2 >0 increasing
when x=0
f'(0)=0 stationary point.
other points are decreasing
so
largest interval of increasing is
A.X<-2
Need help with this question asap please please
Answer:
M< D = 105⁰
Step-by-step explanation:
the sum of the opposite angles of a cyclic quadrilateral is 180⁰
hence, <ADC + <ABC = 180⁰
<ADC + 75⁰ = 180⁰
<ADC = 180⁰ - 75⁰
< ADC= 105⁰
Lale is mixing together some fertilizer. The instructions say to mix 20 liters of water with 5 liters of liquid fertilizer.
How many liters of water should Lale mix with 1 liter of liquid fertilizer?
O A 4 liters
B. 5 liters
C. 10 liters
D. 15 liters
Answer:
a. 4 liters of water......
Answer:
20/5 = 4
Step-by-step explanation:
the answer at the pic
can someone please help me