(a) 10% of x = 9
x = 9 ⋅ (100/10)
x = 90 kg
(b) 12% of x = 12/100 of 90
Weight she lost = 10.8
Her new weight = 90 - 10.8
= 79.2kg
Estimate the roots of f(x)
Answer:
Step-by-step explanation:
The surface area of the cone below is about 151.58 inches squared. The radius of the base is 4 inches. What is the slant height? Use 3.14 for Pi. Round your answer to the nearest whole number.
The slant height of the given cone will be 12.06 inches.
What is slant height?The measurement from the base to the peak along the "center" of a lateral face of an object, such as a cone, is its slant height.
Given that:-
The surface area of the cone below is about 151.58 inches squared. The radius of the base is 4 inches.The slant height will be calculated as:-
Surface area = π r l
151.58 = π x 4 x l
l = 151.58 / ( π x 4 )
l = 12.06 inches.
Therefore slant height of the given cone will be 12.06 inches.
To know more about slant height follow
https://brainly.com/question/6613758
#SPJ1
Work out the angle of elevation from the
rabbit to the top of the tree.
18 m
9√3m
Not drawn accurately
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Angle \:\: of \:\: elevation= 30° [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Let the angle of elevation be " x "
[tex]\qquad \tt \rightarrow \: \cos(x) = \dfrac{9 \sqrt{3} }{18} [/tex]
[tex]\qquad \tt \rightarrow \: \cos(x) = \dfrac{ \sqrt{3} }{2} [/tex]
[tex]\qquad \tt \rightarrow \: x = \cos {}^{ - 1} \bigg( \cfrac{ \sqrt{3} }{2} \bigg ) [/tex]
[tex]\qquad \tt \rightarrow \: x = 30 \degree \: \: or \: \: \cfrac{ \pi}{6} \: \: rad[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
The angle is 60 degree.
Step-by-step explanation:
First of all, we will find the height if the tree by using Pythagorean theorm.
Let, height of tree be x.
18^2=(9(3^1/2))^2+x^2
324=243+x^2
x^2=324-243
x^2=81
x=9
Now, let the angle be y.
tan y= x/base
tan y=9/9×(3^1/2)
tan y=1.73
y=cot 1.73
y= 60
A box in the shape of a rectangular prism has a width that is 5 inches greater than the height and a length that is 2 inches greater than the width. Write a polynomial expression in standard form for the volume of the box. Explain the meaning of any variables used.
The volume of the rectangular prism can be express in standard polynomial as follows:
x³ + 12x² + 35x
How to find the volume of a rectangular prism?volume of a rectangular prism = lwh
where
l = lengthw = widthh = heightTherefore,
let
height = x
width = x + 5
length = x + 5 + 2 = x + 7
Therefore,
volume = x(x + 5)(x + 7)
volume = x(x² + 7x + 5x + 35)
volume = x(x² + 12x + 35)
volume = x³ + 12x² + 35x
learn more on volume here: https://brainly.com/question/2005063
#SPJ1
the money in a bank account increased from $400 to $1000.
copy and complete these sentences.
a) $1000 is ........% of $400.
b) the money has increased by .......%
Answer:
a).1000/400*100
= (1000*100)/400
= 100000/400 = 250
b).600
Step-by-step explanation:
a). Percentage solution with steps:
Step 1: We make the assumption that 400 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 400.
Step 4: In the same vein, x % = 1000 .
Step 5: This gives us a pair of simple equations:
100 % = 400(1).
x % = 1000(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100 % / x % = 400/1000
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 1000/400
x = 250 %
Therefore, 1000 is 250 % of 400.
b) $1000-$400= 600
= $400+$600=$1000
If T(x) = x + 0.14x, then find the value of T(290).
Answer:
330.6
Step-by-step explanation:
You have to enter 290 for x.
T(290) = 290 + 0.14(290)
T(290) = 290 + 40.6
T(290) = 330.6
Doubling the dimensions of a rectangle increases the area by a factor of 4.
If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are true? Select two options.
p → q represents the original conditional statement and the contrapositive of the original conditional statement. Then the correct options are A and E.
The missing options are given below.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
Doubling the dimensions of a rectangle increases the area by a factor of 4.
If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.
Then the true statement will be
Then the correct options are A and E.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ1
