Answer: 8.4 feet
Step-by-step explanation:
In ΔFGH, the measure of ∠H=90°, the measure of ∠G=21°, and FG = 9 feet. Find the length of GH to the nearest tenth of a foot.
F
G
H
x
9
(opposite of ∠G)
(adj. to ∠G)
(hypotenuse)
21°
\text{What function uses the HYPOTENUSE and the ADJACENT?}
What function uses the HYPOTENUSE and the ADJACENT?
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\cos G = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{x}{9}
cosG=
hypotenuse
adjacent
=
9
x
\cos 21=\frac{x}{9}
cos21=
9
x
9\cos 21=x
9cos21=x
Cross multiply.
x=8.4022\approx \mathbf{8.4}\text{ feet}
x=8.4022≈8.4 feet
Type into calculator and roundto the nearest tenth of a foot.
F
G
H
8.4
9
(opposite of ∠G)
(adj. to ∠G)
(hypotenuse)
21°
parallelogram; rhombus
rectangle; square; parallelogram
rhombus; quadrilateral; square
square; rectangle; quadrilateral
Answer:
(A)
Step-by-step explanation:
From the figure, we can see that all the sides of the given figure are congruent, all the four angles are right angled.
Thus, following the properties of quadrilateral,it has four sides (edges) , four vertices (corners) and the interior angles that add to 360 degrees.
Thus, the given figure is a quadrilateral.
Following the properties of parallelogram, A parallelogram has opposite sides equal and also the opposite angles equal. In the given figure, opposite sides are equal and also the opposite angles are equal.
Thus, the given figure is parallelogram.
Following the properties of rectangle, A rectangle has four sides, all the angles are right angled and has opposite sides equal,the given figure satisfies these properties.
Thus, the given figure is rectangle.
Following the properties of square, A square has all the sides equal and all the angles are of 90°, the given figure satisfies these properties.
Thu, the given figure is square.
Following the properties of rhombus, A rhombus has four sides, all the angles are right angled and has opposite sides equal, the given figure satisfies these properties.
Thus, the given figure is rhombus.
Answer:
1. classify the figure in as many ways as possible
rectangle, square, quadrilateral, parallel, rhombus.
2. which statement is true
All rectangles are quadrilaterals.
3. Lucinda wants to build a square sandbox
arrange four equal-length sides so the diagonals are also equal lengths.
4. j and m are base angles of isosceles trapezoid jklm.
151 degrees
5. determine whether the statement below is always, sometimes, or never true.
Never true.
Answer: The contrapositive of the statement is
"If a number is not divisible by 10, then it does not end with 0".
Step-by-step explanation: We are given to write the contrapositive of the following statement:
"If a number ends with 0, then it is divisible by 10".
We know the contrapositive of a conditional statement of the form
"If p then q" is given by "If not q then not p".
Or,
the contrapositive of "p ⇒ q" is "~q ⇒ ~p".
So, the contrapositive of the given statement is
"If a number is not divisible by 10, then it does not end with 0".
Thus, the contrapositive of the statement is
"If a number is not divisible by 10, then it does not end with 0".
4 is the correct answer as 4th root of 1296 is 6
The amount Angelina will have at the end of the year is $520.
A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:
Operands: Operands are the numbers that an operator uses. The terms that are given to the operands vary according to the kind of operation.
Given money received by Angelina in the first week = $10
and money she will get each week for rest of the year = $10
amount in first week = $10
amount in second week = $10 + $10 = $20
amount in third week = $20 + $10 = $30
amount is week 52 = 52 x $10 = $520
table for the week and money
week 1 2 3 4 5 6 ........ 52
money $10 $20 $30 $40 $50 $60 ....... $520
Hence the amount after 1 year will be $520.
Learn more about Mathematical operators;
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