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dsp73
3 years ago
14

OBEE

Mathematics
1 answer:
Rudik [331]3 years ago
8 0
Unicorn icon icon icon Oml lawn
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Two sides of a triangle measure 10 inches and 10.9 inches. The included angle between these sides is 65°. What is the approximat
fenix001 [56]

Answer:

9.9inches

Step-by-step explanation:

From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry

From trigonometry, Sin(x)= opposite/Hypotenuse

Sin(65)=X/10.9

X= Sin(65) ×10.9

X=0.9063×10.9

=9.8688

Hence the third side of the triangle is approximately 9.9inches

CHECK THE ATTACHMENT FOR THE TRIANGLE

6 0
3 years ago
Simplify the expression.<br> 3x + 3x
OverLord2011 [107]
Here, just add the coefficients. 3x + 3x = 6x.
4 0
3 years ago
Read 2 more answers
If JL = 30, JK = 18, and LM = 6, then the value of LN is:
harina [27]

Answer:

LN = 15

Step-by-step explanation:

The arrows on the line segments indicate they are parallel.

\implies \overline{KM} \parallel \overline{JN}

<u>Triangle Proportionality Theorem</u>

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides <u>proportionally</u>.

\textsf{If }\overline{KM} \parallel \overline{JN}, \textsf{ then }\dfrac{LK}{LJ}=\dfrac{LM}{LN}

Given:

  • LM = 6
  • JL = 30
  • JK = 18

⇒ LK = JL - JK = 30 - 18 = 12

Substituting the values into the equation and solving for LN:

\begin{aligned}\implies \dfrac{LK}{LJ} & = \dfrac{LM}{LN}\\\\\dfrac{12}{30} & = \dfrac{6}{LN}\\\\12LN & = 30 \cdot 6\\\\LN & = \dfrac{180}{12}\\\\LN & = 15\end{aligned}

7 0
2 years ago
Read 2 more answers
Write an expression that shows how to multiply 4x362 using place value and expanded form
igomit [66]
4x300+4x60+4x2
1200+240+8
1448
5 0
4 years ago
Gabrielle went out to her garden and cut 3 roses from the first rose bush, 5 roses from the second rose bush, 9 roses from the t
Arada [10]

Answer:

23 roses from the fifth rose bush

Step-by-step explanation:

3 roses from the first rose bush

5 roses from the second rose bush

9 roses from the third rose bush

15 roses from the fourth rose bush

Odd numbers are 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25

roses from the second rose bush = next odd number after 3

= 5

roses from the second rose bush

= 2 next odd number after 5

= 9

roses from the fourth rose bush

= 3 next odd number after 9

= 15

how many roses will Gabrielle cut from the fifth rose bush?

roses Gabrielle cut from the fifth rose bush = 4 next odd number after 15

= 23

23 roses from the fifth rose bush

8 0
3 years ago
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